Construction Of Self-Reciprocal Normal Polynomials Over Finite Fields Of Even Characteristic,
2015
TÜBİTAK
Construction Of Self-Reciprocal Normal Polynomials Over Finite Fields Of Even Characteristic, Mahmood Alizadeh, Saeid Mehrabi
Turkish Journal of Mathematics
In this paper, a computationally simple and explicit construction of some sequences of normal polynomials and self-reciprocal normal polynomials over finite fields of even characteristic are presented.
The Geometry Of Hemi-Slant Submanifolds Of A Locally Product Riemannian Manifold,
2015
TÜBİTAK
The Geometry Of Hemi-Slant Submanifolds Of A Locally Product Riemannian Manifold, Hakan Mete Taştan, Fatma Özdemi̇r
Turkish Journal of Mathematics
In the present paper, we study hemi-slant submanifolds of a locally product Riemannian manifold. We prove that the anti-invariant distribution involved in the definition of hemi-slant submanifold is integrable and give some applications of this result. We get a necessary and sufficient condition for a proper hemi-slant submanifold to be a hemi-slant product. We also study these types of submanifolds with parallel canonical structures. Moreover, we give two characterization theorems for the totally umbilical proper hemi-slant submanifolds. Finally, we obtain a basic inequality involving Ricci curvature and the squared mean curvature of a hemi-slant submanifold of a certain type of …
Od-Characterization Of Some Alternating Groups,
2015
TÜBİTAK
Od-Characterization Of Some Alternating Groups, Shitian Liu
Turkish Journal of Mathematics
Let $G$ be a finite group. Moghaddamfar et al. defined prime graph $\Gamma(G)$ of group $G$ as follows. The vertices of $\Gamma(G)$ are the primes dividing the order of $G$ and two distinct vertices $p,q$ are joined by an edge, denoted by $p\sim q$, if there is an element in $G$ of order $pq$. Assume $ G =p_{1}^{\alpha_{1}}\cdots p_{k}^{\alpha_{k}}$ with $P_{1}$ <$\cdots$&\lt;$p_{k}$ and nature numbers $\alpha_{i}$ with $i=1,2,\cdots,k$. For $p\in\pi(G)$, let the degree of $p$ be $\deg(p)= \{q\in\pi(G)\mid q\sim p\} $, and $D(G)=(\deg(p_{1}), \deg(p_{2}), \cdots, \deg(p_{k}))$. Denote by $\pi(G)$ the set of prime divisor of $ G $. Let $GK(G)$ be the graph with vertex set $\pi(G)$ such that two primes $p$ and $q$ in $\pi(G)$ are joined by an edge if $G$ has an element of order $p\cdot q$. We set $s(G)$ to denote the number of connected components of the prime graph $GK(G)$. Some authors proved some groups are $OD$-characterizable with $s(G)\geq2$. Then for $s(G)=1$, what is the influence of $OD$ on the structure of groups? We knew that the alternating groups $A_{p+3}$, where $7\neq p\in\pi(100!)$, $A_{130}$ and $A_{140}$ are $OD$-characterizable. Therefore, we naturally ask the following question: if $s(G)=1$, then is there a group $OD$-characterizable? In this note, we give a characterization of $A_{p+3}$ except $A_{10}$ with $s(A_{p+3})=1$, by $OD$, which gives a positive answer to Moghaddamfar and Rahbariyan's conjecture.
Rational Schubert Polynomials,
2015
TÜBİTAK
Rational Schubert Polynomials, Kürşat Aker, Nesri̇n Tutaş
Turkish Journal of Mathematics
We define and study the rational Schubert, rational Grothendieck, rational key polynomials in an effort to understand Molev's dual Schur functions from the viewpoint of Lascoux.
Warped Product Skew Semi-Invariantsubmanifolds Of Order $1$ Of A Locallyproduct Riemannian Manifold,
2015
TÜBİTAK
Warped Product Skew Semi-Invariantsubmanifolds Of Order $1$ Of A Locallyproduct Riemannian Manifold, Hakan Mete Taştan
Turkish Journal of Mathematics
We introduce warped product skew semi-invariant submanifolds of order $1$ of a locally product Riemannian manifold. We give a necessary and sufficient condition for a skew semi-invariant submanifold of order 1 to be a locally warped product. We also establish an inequality between the warping function and the squared norm of the second fundamental form for such submanifolds. The equality case is also discussed.
Groups With The Given Set Of The Lengths Of Conjugacy Classes,
2015
TÜBİTAK
Groups With The Given Set Of The Lengths Of Conjugacy Classes, Neda Ahanjideh
Turkish Journal of Mathematics
We study the structures of some finite groups such that the conjugacy class size of every noncentral element of them is divisible by a prime $p$.
Approximate Duals And Nearly Parseval Frames,
2015
TÜBİTAK
Approximate Duals And Nearly Parseval Frames, Morteza Mirzaee Azandaryani
Turkish Journal of Mathematics
In this paper we introduce approximate duality of g-frames in Hilbert $C^\ast$-modules and we show that approximate duals of g-frames in Hilbert $C^\ast$-modules share many useful properties with those in Hilbert spaces. Moreover, we obtain some new results for approximate duality of frames and g-frames in Hilbert spaces; in particular, we consider approximate duals of $\varepsilon$-nearly Parseval and $\varepsilon$-close frames.
The Strong ``Zero-Two" Law For Positive Contractions Of Banach--Kantorovich $L_P$-Lattices,
2015
TÜBİTAK
The Strong ``Zero-Two" Law For Positive Contractions Of Banach--Kantorovich $L_P$-Lattices, Inomjon Ganiev, Farrukh Mukhamedov, Dilmurod Bekbaev
Turkish Journal of Mathematics
In the present paper we study dominated operators acting on Banach--Kantorovich $L_p$-lattices, constructed by a measure $m$ with values in the ring of all measurable functions. Using methods of measurable bundles of Banach--Kantorovich lattices, we prove the strong ``zero-two" law for positive contractions of Banach--Kantorovich $L_p$-lattices. \vspace{1mm}
Moduli Spaces Of Arrangements Of 11 Projective Lines With A Quintuple Point,
2015
TÜBİTAK
Moduli Spaces Of Arrangements Of 11 Projective Lines With A Quintuple Point, Meirav Amram, Cheng Gong, Mina Teicher, Wan-Yuan Xu
Turkish Journal of Mathematics
In this paper, we try to classify moduli spaces of arrangements of 11 lines with quintuple points. We show that moduli spaces of arrangements of 11 lines with quintuple points can consist of more than 2 connected components. We also present defining equations of the arrangements whose moduli spaces are not irreducible after taking quotients by the complex conjugation by Maple and supply some "potential Zariski pairs".
Hilbert Series Of The Finite Dimensional Generalized Hecke Algebras,
2015
TÜBİTAK
Hilbert Series Of The Finite Dimensional Generalized Hecke Algebras, Zaffar Iqbal
Turkish Journal of Mathematics
It is known from the early results of Coxeter that the generalized Hecke algebras $H(Q_{m},3)$, $m\in\{2,3,4,5\}$, are finite dimensional. In this paper we compute the Hilbert series of these finite-type group algebras.
On Pseudohyperbolic Space Motions,
2015
TÜBİTAK
On Pseudohyperbolic Space Motions, Tunahan Turhan, Nural Yüksel, Ni̇hat Ayyildiz
Turkish Journal of Mathematics
In the present paper, the geometrical instantaneous invariants of the motion $H_{_{m}}/H_{_{f}}\ $in dual Lorentzian $3$-space are determined. Depending on this, the dual Lorentzian instantaneous screw axis of the motion of $K_{_{m}}$ with respect to the dual pseudohyperbolic space $K_{_{m}}$ is constructed. On the other hand, we show that, in each position of $H_{_{m}}$, the fixed and moving axodes have the instantaneous screw axis of this position in common. We also give relations between the geodetic curvature and the curvature of the polodes.
Classification Of Metallic Shaped Hypersurfaces In Real Space Forms,
2015
TÜBİTAK
Classification Of Metallic Shaped Hypersurfaces In Real Space Forms, Ci̇han Özgür, Ni̇hal Yilmaz Özgür
Turkish Journal of Mathematics
We define the notion of a metallic shaped hypersurface and give the full classification of metallic shaped hypersurfaces in real space forms. We deduce that every metallic shaped hypersurface in real space forms is a semisymmetric hypersurface.
Planar Embedding Of Trees On Point Sets Without The General Position Assumption,
2015
TÜBİTAK
Planar Embedding Of Trees On Point Sets Without The General Position Assumption, Asghar Asgharian Sardroud, Alireza Bagheri
Turkish Journal of Mathematics
The problem of point-set embedding of a planar graph $G$ on a point set $P$ in the plane is defined as finding a straight-line planar drawing of $G$ such that the nodes of $G$ are mapped one to one on the points of $P$. Previous works in this area mostly assume that the points of $P$ are in general position, i.e. $P$ does not contain any three collinear points. However, in most of the real applications we cannot assume the general position assumption. In this paper, we show that deciding the point-set embeddability of trees without the general position assumption …
On The Block Sequence Space $L_P(E)$ And Related Matrix Transformations,
2015
TÜBİTAK
On The Block Sequence Space $L_P(E)$ And Related Matrix Transformations, Davoud Foroutannia
Turkish Journal of Mathematics
The purpose of the present study is to introduce the sequence space $$l_p(E)=\left\{ x=(x_n)_{n=1}^{\infty}\;:\; \sum_{n=1}^{\infty} \left \sum_{j\in E_n}x_j\right ^p
The Iteration Digraphs Of Finite Commutative Rings,
2015
TÜBİTAK
The Iteration Digraphs Of Finite Commutative Rings, Yangjiang Wei, Gaohua Tang
Turkish Journal of Mathematics
For a finite commutative ring $S$ (resp., a finite abelian group $S$) and a positive integer $k\geqslant2$, we construct an iteration digraph $G(S, k)$ whose vertex set is $S$ and for which there is a directed edge from $a\in S$ to $b\in S$ if $b=a^k$. We generalize some previous results of the iteration digraphs from the ring $\mathbb{Z}_n$ of integers modulo $n$ to finite commutative rings, and establish a necessary and sufficient condition for $G(S, k_1)$ and $G(S, k_2)$ to be isomorphic for any finite abelian group $S$.
Approximation Properties Of Szász Type Operators Based On Charlier Polynomials,
2015
TÜBİTAK
Approximation Properties Of Szász Type Operators Based On Charlier Polynomials, Arun Kajla, Purshottam Narain Agrawal
Turkish Journal of Mathematics
In the present paper, we study some approximation properties of the Sz\'{a}sz type operators involving Charlier polynomials introduced by Varma and Ta\c{s}delen in 2012. First, we establish approximation in a Lipschitz type space and weighted approximation theorems for these operators. Then we obtain the error in the approximation of functions having derivatives of bounded variation.
Dynamic Behavior Of A Second-Order Nonlinearrational Difference Equation,
2015
TÜBİTAK
Dynamic Behavior Of A Second-Order Nonlinearrational Difference Equation, Yacine Halim, Nouressadat Touafek, Yasi̇n Yazlik
Turkish Journal of Mathematics
This paper deals with the global attractivity of positive solutions of the second-order nonlinear difference equation \begin{equation*} x_{n+1}=\frac{ax_{n}^{k}+b\displaystyle\sum_{j=1}^{k-1}x_{n}^{j}x_{n-1}^{k-j}+cx_{n-1} ^{k}}{Ax_{n}^{k}+B\displaystyle\sum_{j=1}^{k-1}x_{n}^{j}x_{n-1}^{k-j}+Cx_{n-1}^{k}},\ k=3,4,...,\,n=0,1,...,\label{eq1} \end{equation*} where the parameters $a$, $b$, $c$, $A$, $B$, $C$ and the initial values $x_{0}$, $x_{-1}$ are arbitrary positive real numbers.
Rings With Finite Ding Homological Dimensions,
2015
TÜBİTAK
Rings With Finite Ding Homological Dimensions, Chunxia Zhang, Zhongkui Liu
Turkish Journal of Mathematics
In this paper, we study Ding homological dimensions of complexes. Special attention is paid to the dimensions of homologically bounded complexes that have nice functorial descriptions. These results are applied to give new characterizations of rings R such that l.Ggldim(R) < \infty and quasi-Frobenius rings.
Good Modulating Sequences For The Ergodic Hilbert Transform,
2015
TÜBİTAK
Good Modulating Sequences For The Ergodic Hilbert Transform, Azer Akhmedov, Doğan Çömez
Turkish Journal of Mathematics
This article investigates classes of bounded sequences of complex numbers that are universally good for the ergodic Hilbert transform in L_p-spaces, 2 \leq p \leq \infty. The class of bounded Besicovitch sequences satisfying a rate condition is among such sequence classes.
Companion Inequalities To Ostrowski--Grüss Type Inequality And Applications,
2015
TÜBİTAK
Companion Inequalities To Ostrowski--Grüss Type Inequality And Applications, Khalid Mahmood Awan, Josip Pecaric, Mihaela Ribicic Penava
Turkish Journal of Mathematics
The aim of this paper is to give some companion inequalities to the Ostrowski-Grüss type inequality for n-time differentiable absolutely continuous functions by using recently obtained bounds for the Chebyshev functional.
