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Articles 421 - 440 of 440
Full-Text Articles in Mathematics
On L¹ Convergence Of Certain Cosine Sums, John W. Garrett, Caslav V. Stanojevic
On L¹ Convergence Of Certain Cosine Sums, John W. Garrett, Caslav V. Stanojevic
Mathematics and Statistics Faculty Research & Creative Works
It is shown that to a certain cosine series f, a Rees-Stanojević cosine sumn can be associated such that gn converges to f pointwise, and a necessary and sufficient condition for L1 convergence of gn to f is given. As a corollary to that result we have a generalization of the classical result of this kind. Other corollaries are given concerning the well-known integrability conditions. © 1975, American Mathematical Society.
On L¹ Convergence Of Certain Cosine Sums, John W. Garrett, Caslav V. Stanojevic
On L¹ Convergence Of Certain Cosine Sums, John W. Garrett, Caslav V. Stanojevic
Mathematics and Statistics Faculty Research & Creative Works
Rees and Stanojevic introduced a new class of modified cosine sums (equation omitted) and found a necessary and sufficient condition for integrability of these modified cosine sums. Here we show that to every classical cosine series f with coefficients of bounded variation, a Rees-Stanqjevic cosine sum gn can be associated such that gn converges to f pointwise, and a necessary and sufficient condition for Lx convergence of gn to f is given. As a corollary to that result we have a generalization of the classical result of this kind. Examples are given using the well-known integrability conditions. © 1976 American …
Univalence Of Derivatives Of Functions Defined By Gap Power Series. Ii, S. M. Shah, S. Y. Trimble
Univalence Of Derivatives Of Functions Defined By Gap Power Series. Ii, S. M. Shah, S. Y. Trimble
Mathematics and Statistics Faculty Research & Creative Works
No abstract provided.
The Extremal Structure Of Locally Compact Convex Sets, J. C. Hankins, Roy M. Rakestraw
The Extremal Structure Of Locally Compact Convex Sets, J. C. Hankins, Roy M. Rakestraw
Mathematics and Statistics Faculty Research & Creative Works
Let X be a locally compact closed convex subset of a locally convex Hausdorff topological linear space E. Then every exposed point of X is strongly exposed. The definitions of denting (strongly extreme) ray and strongly exposed ray are given for convex subsets of E. If X does not contain a line, then every extreme ray is strongly extreme and every exposed ray is strongly exposed. An example is given to show that the hypothesis that X be locally compact is necessary in both cases. © 1976 Pacific Journal of Mathematics. All rights reserved.
Univalence Of Derivatives Of Functions Defined By Gap Power Series, S. M. Shah, S. Y. Trimble
Univalence Of Derivatives Of Functions Defined By Gap Power Series, S. M. Shah, S. Y. Trimble
Mathematics and Statistics Faculty Research & Creative Works
No abstract provided.
A Coefficient Inequality For Convex Univalent Functions, S. Y. Trimble
A Coefficient Inequality For Convex Univalent Functions, S. Y. Trimble
Mathematics and Statistics Faculty Research & Creative Works
A short proof of formula presented is given for normalized convex univalent functions. © 1975, American Mathematical Society.
On Functional Equations Related To Mielnik's Probability Spaces, C. F. Blakemore, Caslav V. Stanojevic
On Functional Equations Related To Mielnik's Probability Spaces, C. F. Blakemore, Caslav V. Stanojevic
Mathematics and Statistics Faculty Research & Creative Works
It is shown that the method used by C. V. Stanojevic to obtain a characterization of inner product spaces in terms of a Mielnik probability space of dimension 2 does not admit a generalization to dimension n > 2. © 1975 American Mathematical Society.
Stiefel-Whitney Homology Classes And Bordism, Ethan Akin
Stiefel-Whitney Homology Classes And Bordism, Ethan Akin
Mathematics and Statistics Faculty Research & Creative Works
We develop the theory of mod 2 Stiefel-Whitney homology classes for Euler polyhedral. We then describe a simple method of obtaining pJ. bordism theories. Finally, we define the ungraded bordism theory of Euler spaces and show that it is isomorphic to ordinary total homology. © 1975 American Mathematical Society.
The Order Of An Entire Function With Some Derivatives Univalent, S. M. Shah, S. Y. Trimble
The Order Of An Entire Function With Some Derivatives Univalent, S. M. Shah, S. Y. Trimble
Mathematics and Statistics Faculty Research & Creative Works
No abstract provided.
A Note On T, Topologies, Wilson R. Crisler, Troy L. Hicks
A Note On T, Topologies, Wilson R. Crisler, Troy L. Hicks
Mathematics and Statistics Faculty Research & Creative Works
Let t be a T. topology for a set X. The problem of representing t as the lattice product (intersection) of stronger topologies is considered. © 1974 American Mathematical Society.
Quasi-Unmixed Local Rings And Quasi-Subspaces, Peter G. Sawtelle
Quasi-Unmixed Local Rings And Quasi-Subspaces, Peter G. Sawtelle
Mathematics and Statistics Faculty Research & Creative Works
The concept of a quasi-subspace is defined so that it plays a role relative to quasi-unmixedness analogous to that of subspace to unmixedness. This definition is used to characterize quasi-unmixed local rings. © 1973 American Mathematical Society.
A First Order Method For Differential Equations Of Neutral Type, R. N. Castleton, L. J. Grimm
A First Order Method For Differential Equations Of Neutral Type, R. N. Castleton, L. J. Grimm
Mathematics and Statistics Faculty Research & Creative Works
A first order method is presented for solution of the initial-value problem for a differential equation of neutral type with implicit delay in the critical case where the time-lag is zero and the method of stepwise integration does not apply. A convergence theorem is proved, and numerical examples are given. © 1973, American Mathematical Society.
Some Quasi-Uniform Space Examples, Troy L. Hicks, J. W. Carlson
Some Quasi-Uniform Space Examples, Troy L. Hicks, J. W. Carlson
Mathematics and Statistics Faculty Research & Creative Works
No abstract provided.
Existence And Uniqueness For Nonlinear Neutral-Differential Equations, L. J. Grimm
Existence And Uniqueness For Nonlinear Neutral-Differential Equations, L. J. Grimm
Mathematics and Statistics Faculty Research & Creative Works
Fixed point theorems are used to prove existence and uniqueness of the C1 solution of the initial-value problem for a functional-differential equation of neutral type. © 1971, American Mathematical Society. All Rights Reserved.
On Completeness In Quasi-Uniform Spaces, John W. Carlson, Troy L. Hicks
On Completeness In Quasi-Uniform Spaces, John W. Carlson, Troy L. Hicks
Mathematics and Statistics Faculty Research & Creative Works
No abstract provided.
Existence And Continuous Dependence For A Class Of Nonlinear Neutraldifferential Equations, L. J. Grimm
Existence And Continuous Dependence For A Class Of Nonlinear Neutraldifferential Equations, L. J. Grimm
Mathematics and Statistics Faculty Research & Creative Works
This paper presents existence, uniqueness, and continuous dependence theorems for solutions of initial-value problems for neutral-differential equations of the form (equation omited), where f, g, and h are continuous functions with g(0, x0)=h(0, x0) = 0. The existence of a continuous solution of the functional equation z(t) =f(t, z(h(t))) is proved as a corollary. © 1971 American Mathematical Society.
On Semigroups Of Functions On Topological Spaces, Troy L. Hicks, A. G. (Glen) Haddock
On Semigroups Of Functions On Topological Spaces, Troy L. Hicks, A. G. (Glen) Haddock
Mathematics and Statistics Faculty Research & Creative Works
No abstract provided.
Manifold Phenomena In The Theory Of Polyhedra, Ethan Akin
Manifold Phenomena In The Theory Of Polyhedra, Ethan Akin
Mathematics and Statistics Faculty Research & Creative Works
No abstract provided.
Rings Of Continuous Functions On Open Convex Subsets Of R, Lyle E. Pursell
Rings Of Continuous Functions On Open Convex Subsets Of R, Lyle E. Pursell
Mathematics and Statistics Faculty Research & Creative Works
No abstract provided.
Tolerance Regions For A Joint Exponential Distribution, Lee J. Bain
Tolerance Regions For A Joint Exponential Distribution, Lee J. Bain
Mathematics and Statistics Faculty Research & Creative Works
The evaluation of the reliability of a system of components, when the components are assumed to follow a joint exponential distribution, is considered. The approach used is to develop tolerance regions for the joint exponential distribution or to estimate the probability content of the appropriate specification region. Copyright © 1968 by The Institute of Electrical and Electronics Engineers, Inc.