Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- Oscillation (5)
- Univalent functions (4)
- Analytic function (3)
- Analytic functions (3)
- Bi-univalent functions (3)
-
- Fixed point theorem (3)
- $p$-Laplacian (2)
- Asymptotic behavior (2)
- Bernoulli polynomials (2)
- Bishop frame (2)
- Coefficient bounds (2)
- Convex function (2)
- Convex functions (2)
- Darboux vector (2)
- Derivation (2)
- Eigenvalue (2)
- Fibonacci numbers (2)
- Fixed circle (2)
- Fourier series (2)
- Grand Lebesgue space (2)
- Green's function (2)
- Horadam sequence (2)
- Inverse problem (2)
- K-frame (2)
- Metric space (2)
- Numerical semigroup (2)
- Poly-Norden structure (2)
- Positive solutions (2)
- Residual error analysis (2)
- Spectrum (2)
Articles 1 - 30 of 169
Full-Text Articles in Physical Sciences and Mathematics
The $2$-Adic And $3$-Adic Valuation Of The Tripell Sequence And An Application, Jhon Jairo Bravo, Maribel Díaz, José Luis Ramírez
The $2$-Adic And $3$-Adic Valuation Of The Tripell Sequence And An Application, Jhon Jairo Bravo, Maribel Díaz, José Luis Ramírez
Turkish Journal of Mathematics
Let $(T_n)_{n\geq 0}$ denote the Tripell sequence, defined by the linear recurrence $T_n=2T_{n-1} + T_{n-2}+T_{n-3}$ for $n\geq 3$ with $T_0=0$, $T_{1}=1$ and $T_2=2$ as initial conditions. In this paper, we study the $2$-adic and $3$-adic valuation of the Tripell sequence and, as an application, we determine all Tripell numbers which are factorials.
On The Product Of Dilation Of Truncated Toeplitz Operators, Zohra Bendaoud, Nafissa Saouli
On The Product Of Dilation Of Truncated Toeplitz Operators, Zohra Bendaoud, Nafissa Saouli
Turkish Journal of Mathematics
In this paper we study when the product of two dilations of truncated Toeplitz operators gives a dilation of a truncated Toeplitz operator. We will use an approach established in a recent paper written by Ko and Lee. This approach allows us to represent the dilation of the truncated Toeplitz operator via a 2 $\times$ 2 block operator.
Nonabelian Cocycles And The Spectrum Of A Symmetric Monoidal Category, Antonio M. Cegarra
Nonabelian Cocycles And The Spectrum Of A Symmetric Monoidal Category, Antonio M. Cegarra
Turkish Journal of Mathematics
We present an Eilenberg-MacLane-type description for the first, second and third spaces of the spectrum defined by a symmetric monoidal category.
Geometric Properties Of Partial Sums Of Generalized Koebe Function, Erhan Deni̇z, Erkan Yalçin
Geometric Properties Of Partial Sums Of Generalized Koebe Function, Erhan Deni̇z, Erkan Yalçin
Turkish Journal of Mathematics
The aim of the present paper is to investigate the starlikeness, convexity, and close-to-convexity of some partial sums of the generalized Koebe function. Furthermore, we give some special results related with special cases of $c$ constant. The results, which are presented in this paper, would generalize those in related works of several earlier authors.
On ${\Bf H}$-Curvature Of $(\Alpha,\Beta)$-Metrics, Akbar Tayebi, Masoome Razgordani
On ${\Bf H}$-Curvature Of $(\Alpha,\Beta)$-Metrics, Akbar Tayebi, Masoome Razgordani
Turkish Journal of Mathematics
The non-Riemannian quantity ${\bf H}$ was introduced by Akbar-Zadeh to characterization of Finsler metrics of constant flag curvature. In this paper, we study two important subclasses of Finsler metrics in the class of so-called $(\alpha,\beta)$-metrics, which are defined by $F=\alpha\phi(s)$, $s=\beta/\alpha$, where $\alpha$ is a Riemannian metric and $\beta$ is a closed 1-form on a manifold. We prove that every polynomial metric of degree $k\geq 3$ and exponential metric has almost vanishing ${\bf H}$-curvature if and only if ${\bf H}=0$. In this case, $F$ reduces to a Berwald metric. Then we prove that every Einstein polynomial metric of degree $k\geq …
Conformally Flat Willmore Spacelike Hypersurfaces In $\Mathbb{R}^{N+1}_1$, Zonggang Deng, Tongzhu Li
Conformally Flat Willmore Spacelike Hypersurfaces In $\Mathbb{R}^{N+1}_1$, Zonggang Deng, Tongzhu Li
Turkish Journal of Mathematics
In this paper, we give the equation satisfied by umbilics-free Willmore spacelike hypersurfaces using the conformal invariants in Lorentzian space forms. At the same time, we give the equation satisfied by hyperelastic spacelike curves in $2$-dimensional Lorentzian space forms and classify the closed hyperelastic spacelike curves. Finally conformally flat Willmore spacelike hypersurfaces are classified in terms of the hyperelastic spacelike curves in $2$-dimensional Lorentzian space forms.
Ruled Surfaces Obtained By Bending Of Curves, Uğur Gözütok, Hüsnü Anil Çoban, Yasemi̇n Sağiroğlu
Ruled Surfaces Obtained By Bending Of Curves, Uğur Gözütok, Hüsnü Anil Çoban, Yasemi̇n Sağiroğlu
Turkish Journal of Mathematics
We consider a first-order infinitesimal bending of a curve in $\mathbb{R}^3$ to obtain a ruled surface. This paper investigates this kind of ruled surfaces and their properties. Also, we obtain conditions for ruled surfaces obtained by bending to be developable.
Coefficient Estimates For The Class Of Quasi Q-Convex Functions, Osman Altintaş, Seher Meli̇ke Aydoğan
Coefficient Estimates For The Class Of Quasi Q-Convex Functions, Osman Altintaş, Seher Meli̇ke Aydoğan
Turkish Journal of Mathematics
In this paper we introduce and investigate the class of $ P_{q}(\lambda,\beta, A, B)$, which is called quasi q-starlike and quasi q-convex with respect to the values of the parameter $\lambda$. We give coefficient bounds estimates and the results for the main theorem.
The Formulization Of The Intrinsic Metric On The Added Sierpinski Triangle By Using The Code Representations, Aslihan İkli̇m Şen, Mustafa Saltan
The Formulization Of The Intrinsic Metric On The Added Sierpinski Triangle By Using The Code Representations, Aslihan İkli̇m Şen, Mustafa Saltan
Turkish Journal of Mathematics
To formulate the intrinsic metrics by using the code representations of the points on the classical fractals is an important research area since these formulas help to prove many geometrical and structural properties of these fractals. In various studies, the intrinsic metrics on the code set of the Sierpinski gasket, the Sierpinski tetrahedron, and the Vicsek (box) fractal are explicitly formulated. However, in the literature, there are not many works on the intrinsic metric that is obtained by the code representations of the points on fractals. Moreover, as seen in the studies on this subject, the contraction coefficients of the …
Prolongations Of Isometric Actions To Vector Bundles, Hülya Kadioğlu
Prolongations Of Isometric Actions To Vector Bundles, Hülya Kadioğlu
Turkish Journal of Mathematics
In this paper, we define an isometry on a total space of a vector bundle $\mathbb{E}$ by using a given isometry on the base manifold $\mathbb{M}$. For this definition, we assume that the total space of the bundle is equipped with a special metric which has been introduced in one of our previous papers. We prove that the set of these derived isometries on $\mathbb{E}$ form an imbedded Lie subgroup $\tilde{G}$ of the isometry group $I(E)$. Using this new subgroup, we construct two different principal bundle structures based one on $\mathbb{E}$ and the other on the orbit space $\mathbb{E}/\tilde{G}$.
On Orthomorphism Elements In Ordered Algebra, Bahri̇ Turan, Hüma Gürkök
On Orthomorphism Elements In Ordered Algebra, Bahri̇ Turan, Hüma Gürkök
Turkish Journal of Mathematics
Let C be an ordered algebra with a unit e. The class of orthomorphism elements Orthe(C) of C was introduced and studied by Alekhno in "The order continuity in ordered algebras". If C = L(G), where G is a Dedekind complete Riesz space, this class coincides with the band Orth(G) of all orthomorphism operators on G. In this study, the properties of orthomorphism elements similar to properties of orthomorphism operators are obtained. Firstly, it is shown that if C is an ordered algebra such that $C_r$, the set of all regular elements of C, is a Riesz space with the …
Regular Sequences In The Subrings Of C(X), Fariborz Azarpanah, Delavar Esmaeilvandi
Regular Sequences In The Subrings Of C(X), Fariborz Azarpanah, Delavar Esmaeilvandi
Turkish Journal of Mathematics
We show that the intermediate subalgebras between $C^*(X)$ and C(X) do not contain regular sequences with length $\geq$ 2. This shows that depth(A(X)) $\leq$ 1 for each intermediate subalgebra A(X) between $C^*(X)$ and C(X). Whenever an intermediate subalgebra A(X) is proper, i.e. A(X) $\neq$ C(X), we observe that the depth of A(X) is exactly 1. Using this, it turns out that depth($C^*(X)$) = 0 if and only if $X$ is a pseuodocompact almost $P$ -space. The regular sequences in the subrings of the form $I + \mathbb{R}$ of C(X), where $I$ is a $z$-ideal of C(X), are also investigated and …
Conceptions On Topological Transitivity In Products And Symmetric Products, Anahi Rojas, Franco Barragan, Sergio Macías
Conceptions On Topological Transitivity In Products And Symmetric Products, Anahi Rojas, Franco Barragan, Sergio Macías
Turkish Journal of Mathematics
Having a finite number of topological spaces $X_i$ and functions $f_i : X_i \to X_i$, and considering one of the following classes of functions: exact, transitive, strongly transitive, totally transitive, orbit-transitive, strictly orbittransitive, $\omega$-transitive, mixing, weakly mixing, mild mixing, chaotic, exactly Devaney chaotic, minimal, backward minimal, totally minimal, $TT_{++}$, scattering, Touhey or an $F$ -system, in this paper, we study dynamical behaviors of the systems $(X_i,f_i)$, $(\prod X_i,\prod f_i)$, $(\mathcal{F}_n(\prod X_i),\mathcal{F}_n(\prod f_i))$, and $(\mathcal{F}_n(X_i),\mathcal{F}_n(f_i))$.
Bounds For A New Subclass Of Bi-Univalent Functions Subordinate To The Fibonacci Numbers, Şahsene Altinkaya
Bounds For A New Subclass Of Bi-Univalent Functions Subordinate To The Fibonacci Numbers, Şahsene Altinkaya
Turkish Journal of Mathematics
In this investigation, by using a relation of subordination, we define a new subclass of analytic bi-univalent functions associated with the Fibonacci numbers. Moreover, we survey the bounds of the coefficients for functions in this class.
On Solvability Of Inverse Problem For One Equation Of Fourth Order, Aysel Ramazanova Telman Qizi, Yashar Mehreliyev Topush Oglu
On Solvability Of Inverse Problem For One Equation Of Fourth Order, Aysel Ramazanova Telman Qizi, Yashar Mehreliyev Topush Oglu
Turkish Journal of Mathematics
The work is devoted to study the existence and uniqueness of the classical solution of the inverse boundary value problem of determining the lowest coefficient in one fourth order equation. The original problem is reduced to an equivalent problem. The existence and uniqueness of the integral equation are proved by means of the contraction mappings principle, and we obtained that this solution is unique for a boundary value problem. Further, using these facts, we prove the existence and uniqueness of the classical solution for this problem.
Some Uncertainty Inequalities Related To The Multivariate Laguerre Function, Lotfi Kamoun, Rim Selmi
Some Uncertainty Inequalities Related To The Multivariate Laguerre Function, Lotfi Kamoun, Rim Selmi
Turkish Journal of Mathematics
In this paper, an analogous of the Heisenberg's inequality is established and three inequalities that constitute local uncertainty principle for the generalized Fourier-Laguerre transform in several variables are developed.
A Class Of Warped Product Submanifolds Of Kenmotsu Manifolds, Shyamal Kumar Hui, Mica S. Stankovic, Joydeb Roy, Tanumoy Pal
A Class Of Warped Product Submanifolds Of Kenmotsu Manifolds, Shyamal Kumar Hui, Mica S. Stankovic, Joydeb Roy, Tanumoy Pal
Turkish Journal of Mathematics
In 2018 Naghi et al.studied warped product skew CR-submanifold of the form $M=M_1\times_f M_\perp$ of a Kenmotsu manifold $\bar{M}$ (throughout the paper), where $M_1=M_T\times M_\theta$ and $M_T, M_\perp, M_\theta$ represents invariant, antiinvariant, proper slant submanifold of $\bar{M}$. Next, in 2019 Hui et al. studied another class of warped product skew CR-submanifold of the form $M=M_2\times_fM_T$ of $\bar{M}$, where $M_2=M_\perp\times M_\theta$. The present paper deals with the study of a class of warped product submanifold of the form $M=M_3\times_fM_\theta$ of $\bar{M}$, where $M_3=M_T\times M_\perp$ and $M_T, M_\perp, M_\theta$ represents invariant, antiinvariant and proper pointwise slant submanifold of $\bar{M}$ . A characterization …
Inverse Problem For Sturm-Liouville Differential Operators With Finite Number Of Constant Delays, Mohammad Shahriari
Inverse Problem For Sturm-Liouville Differential Operators With Finite Number Of Constant Delays, Mohammad Shahriari
Turkish Journal of Mathematics
In this manuscript,we study nonself-adjoint second-order differential operators with finite number of constant delays. We investigate the properties of the spectral characteristics and the inverse problem of recovering operators from their spectra. An inverse spectral problem is studied for recovering differential operator from the potential from spectra of two boundary value problems with one common boundary condition.The uniqueness theorem is proved for this inverse problem.
The Möbius Transformation Of Continued Fractions With Bounded Upper And Lower Partial Quotients, Wencai Liu
The Möbius Transformation Of Continued Fractions With Bounded Upper And Lower Partial Quotients, Wencai Liu
Turkish Journal of Mathematics
Let $h$: $x\mapsto \frac{ax+b}{cx+d} $ be the nondegenerate Möbius transformation with integer entries. We get a bound of the continued fraction of $h(x)$ by upper and lower bounds of the continued fraction of $x$.
$Q$-Analogues Of Five Difficult Hypergeometric Evaluations, Xiaojing Chen, Wenchang Chu
$Q$-Analogues Of Five Difficult Hypergeometric Evaluations, Xiaojing Chen, Wenchang Chu
Turkish Journal of Mathematics
A nonterminating balanced $q$-series is examined by means of the modified Abel lemma on summation by parts that leads to $q$-analogues of five difficult identities for classical hypergeometric series, including three formulae conjectured by Gosper in 1977.
Bertrand And Mannheim Curves Of Framed Curves In The 3-Dimensional Euclidean Space, Shun'ichi Honda, Masatomo Takahashi
Bertrand And Mannheim Curves Of Framed Curves In The 3-Dimensional Euclidean Space, Shun'ichi Honda, Masatomo Takahashi
Turkish Journal of Mathematics
A Bertrand curve is a space curve whose principal normal line is the same as the principal normal line of another curve. On the other hand, a Mannheim curve is a space curve whose principal normal line is the same as the binormal line of another curve. By definitions, another curve is a parallel curve with respect to the direction of the principal normal vector. Even if that is the regular case, the existence conditions of the Bertrand and Mannheim curves seem to be wrong in some previous research. Moreover, parallel curves may have singular points. As smooth curves with …
The Statistically Unbounded $\Tau$-Convergence On Locally Solid Riesz Spaces, Abdullah Aydin
The Statistically Unbounded $\Tau$-Convergence On Locally Solid Riesz Spaces, Abdullah Aydin
Turkish Journal of Mathematics
A sequence $(x_n)$ in a locally solid Riesz space $(E,\tau)$ is said to be statistically unbounded $\tau$-convergent to $x\in E$ if, for every zero neighborhood $U$, $\frac{1}{n}\big\lvert\{k\leq n:\lvert x_k-x\rvert\wedge u\notin U\}\big\rvert\to 0$ as $n\to\infty$. In this paper, we introduce the concept of the $st$-$u_\tau$-convergence and give the notions of $st$-$u_\tau$-closed subset, $st$-$u_\tau$-Cauchy sequence, $st$-$u_\tau$-continuous and $st$-$u_\tau$-complete locally solid vector lattice. Also, we give some relations between the order convergence and the $st$-$u_\tau$-convergence.
Korovkin-Type Theorems And Their Statistical Versions In Grand Lebesgue Spaces, Yusuf Zeren, Miqdad Ismailov, Cemi̇l Karaçam
Korovkin-Type Theorems And Their Statistical Versions In Grand Lebesgue Spaces, Yusuf Zeren, Miqdad Ismailov, Cemi̇l Karaçam
Turkish Journal of Mathematics
The analogs of Korovkin theorems in grand-Lebesgue spaces are proved. The subspace $G^{p)} (-\pi ;\pi )$ of grand Lebesgue space is defined using shift operator. It is shown that the space of infinitely differentiable finite functions is dense in $G^{p)}(-\pi ;\pi )$. The analogs of Korovkin theorems are proved in $G^{p)} (-\pi ;\pi )$. These results are established in $G^{p)} (-\pi ;\pi )$ in the sense of statistical convergence. The obtained results are applied to a sequence of operators generated by the Kantorovich polynomials, to Fejer and Abel-Poisson convolution operators.
A New Solution To The Discontinuity Problem On Metric Spaces, Ufuk Çeli̇k, Ni̇hal Özgür
A New Solution To The Discontinuity Problem On Metric Spaces, Ufuk Çeli̇k, Ni̇hal Özgür
Turkish Journal of Mathematics
We study on the Rhoades' question concerning the discontinuity problem at fixed point for a self-mapping T of a metric space. We obtain a new solution to this question. Our result generalizes some recent theorems existing in the literature and implies the uniqueness of the fixed point. However, there are also cases where the fixed point set of a self-mapping contains more than 1 element. Therefore, by a geometric point of view, we extend the Rhoades' question to the case where the fixed point set is a circle. We also give a solution to this extended version.
Pell-Lucas Collocation Method To Solve High-Order Linear Fredholm-Volterra Integro-Differential Equations And Residual Correction, Şuayi̇p Yüzbaşi, Gamze Yildirim
Pell-Lucas Collocation Method To Solve High-Order Linear Fredholm-Volterra Integro-Differential Equations And Residual Correction, Şuayi̇p Yüzbaşi, Gamze Yildirim
Turkish Journal of Mathematics
In this article, a collocation method based on Pell-Lucas polynomials is studied to numerically solve higher order linear Fredholm-Volterra integro differential equations (FVIDE). The approximate solutions are assumed in form of the truncated Pell-Lucas polynomial series. By using Pell-Lucas polynomials and relations of their derivatives, the solution form and its derivatives are brought to matrix forms. By applying the collocation method based on equally spaced collocation points, the method reduces the problem to a system of linear algebraic equations. Solution of this system determines the coefficients of assumed solution. Error estimation is made and also a method with the help …
A Special Cone Construction And Its Connections To Structured Tensors And Their Spectra, Vehbi Paksoy
A Special Cone Construction And Its Connections To Structured Tensors And Their Spectra, Vehbi Paksoy
Turkish Journal of Mathematics
In this work we construct a cone comprised of a group of tensors (hypermatrices) satisfying a special condition, and we study its relations to structured tensors such as M-tensors and H-tensors. We also investigate its applications to spectra of certain Z-tensors. We obtain an inequality for the spectral radius of certain tensors when the order m is odd.
Abstract Korovkin-Type Theorems In The Filter Setting With Respect To Relative Uniform Convergence, Antonio Boccuto, Kami̇l Demi̇rci̇, Sevda Yildiz
Abstract Korovkin-Type Theorems In The Filter Setting With Respect To Relative Uniform Convergence, Antonio Boccuto, Kami̇l Demi̇rci̇, Sevda Yildiz
Turkish Journal of Mathematics
We prove a Korovkin-type approximation theorem using abstract relative uniform filter convergence of a net of functions with respect to another fixed filter, a particular case of which is that of all neighborhoods of a point, belonging to the domain of the involved functions. We give some examples, in which we show that our results are strict generalizations of the classical ones.
On Geometric Applications Of Quaternions, Burcu Bektaş Demi̇rci̇, Nazim Aghayev
On Geometric Applications Of Quaternions, Burcu Bektaş Demi̇rci̇, Nazim Aghayev
Turkish Journal of Mathematics
Quaternions have become a popular and powerful tool in various engineering fields, such as robotics, image and signal processing, and computer graphics. However, classical quaternions are mostly used as a representation of rotation of a vector in $3$-dimensions, and connection between its geometric interpretation and algebraic structures is still not well-developed and needs more improvements. In this study, we develop an approach to understand quaternions multiplication defining subspaces of quaternion $\mathbb{H}$, called as $\mbox{Plane}(N)$ and $\mbox{Line}(N)$, and then, we observe the effects of sandwiching maps on the elements of these subspaces. Finally, we give representations of some transformations in geometry …
Remarks On The One-Dimensional Sloshing Problem Involving The $P$-Laplacian Operator, Wei-Chuan Chen, Yanhsiou Cheng
Remarks On The One-Dimensional Sloshing Problem Involving The $P$-Laplacian Operator, Wei-Chuan Chen, Yanhsiou Cheng
Turkish Journal of Mathematics
In this paper, we study the inverse nodal problem and the eigenvalue gap for the one-dimensional sloshing problem with the $p$-Laplacian operator. By applying the Prüfer substitution, we first derive the reconstruction formula of the depth function by using the information of the nodal data. Furthermore, we employ the Tikhonov regularization method to consider how to reconstruct the depth function using only zeros of one eigenfunction. Finally, we investigate the eigenvalue gap under the restriction of symmetric single-well depth functions. We show the gap attains its minimum when the depth function is constant.
Oscillatory And Asymptotic Behavior Of Third-Order Nonlinear Differential Equations With A Superlinear Neutral Term, Said R. Grace, Iren Jadlovska, Ercan Tunç
Oscillatory And Asymptotic Behavior Of Third-Order Nonlinear Differential Equations With A Superlinear Neutral Term, Said R. Grace, Iren Jadlovska, Ercan Tunç
Turkish Journal of Mathematics
Sufficient conditions are derived for all solutions of a class of third-order nonlinear differential equations with a superlinear neutral term to be either oscillatory or convergent to zero asymptotically. Examples illustrating the results are included and some suggestions for further research are indicated.