Results 161 to 170 of about 964 (198)
Some geometric constants related with the modulus of convexity of a Banach space (Nonlinear Analysis and Convex Analysis)openaire
Some of the next articles are maybe not open access.
Related searches:
Related searches:
On Modulus of Noncompact Convexity and Its Properties
Canadian Mathematical Bulletin, 1987AbstractIn this paper we prove some properties of the so-called modulus of noncompact convexity. This notion was recently introduced by K. Goebel and T. Sȩkowski [6] and it appears to be an interesting and useful generalization of the classical Clarkson modulus of convexity.
openaire +2 more sources
Various expressions for modulus of random convexity
Acta Mathematica Sinica, English Series, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
SIP: critical value functions have finite modulus of non-convexity
Mathematical Programming, 2012The authors consider semi-infinite programming problems \(SIP(z)\) depending on a finite dimensional parameter \(z \in \mathbb{R}^p\). In this work, the authors generalize the results obtained by \textit{H. Günzel} et al. [SIAM J. Optim. 16, No. 4, 1044--1053 (2006; Zbl 1131.90044)] to the case of critical value functions of parametric semi-infinite ...
Dorsch, D. +4 more
openaire +2 more sources
On a generalized modulus of convexity and uniform normal structure
Acta Mathematica Scientia, 2007Abstract In this article, the authors study a generalized modulus of convexity, δα)(ɛ). Certain related geometrical properties of this modulus are analyzed. Their main result is that Banach space X has uniform normal structure if there exists ɛ, 0 ≤ ɛ ≤ 1, such that δ(α) (1 + ɛ) > (1-α) ɛ.
Yang Changsen, Wang Fenghui
openaire +1 more source
The modulus of noncompact convexity
1986Given an infinite-dimensional Banach space X, the authors define a ''modulus of noncompact convexity'' by \(\Delta_ x(\epsilon)=\inf \{1- \inf_{x\in A}\| x\| \}\), where the outer inf is taken over all convex subsets A of the unit ball in X such that \(\alpha\) (A)\(\geq \epsilon\), with \(\alpha\) (A) denoting the Kuratowski measure of noncompactness ...
Goebel, Kazimierz (1940- ) +1 more
openaire +1 more source
Blind equalization of constant modulus signals via restricted convex optimization
2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221), 2002We formulate the blind equalization of constant modulus (CM) signals as a convex optimization problem. This is done by performing an algebraic transformation on the direct formulation of the equalization problem and then restricting the set of design variables to a subset of the original feasible set.
B. Maricic +2 more
openaire +1 more source
RATIONAL APPROXIMATIONS TO CONVEX FUNCTIONS WITH GIVEN MODULUS OF CONTINUITY
Mathematics of the USSR-Sbornik, 1971It is shown that for any convex continuous functions (, ) with modulus of continuity the order of approximation by rational functions does not exceed where is an absolute constant and .Bibliography: 6 items.
openaire +2 more sources
On the modulus of noncompact convexity of a Banach space
Archiv der Mathematik, 1994Let \(A\) be a bounded subset of an infinite-dimensional Banach space \(X\). The Hausdorff measure of noncompactness \(\chi_ A\) of the set \(A\) is the infimum of all numbers \(r> 0\) such that \(A\) can be covered by finitely many balls of radius \(r\).
openaire +1 more source
APPROXIMATION, BY RATIONAL FUNCTIONS, OF CONVEX FUNCTIONS WITH GIVEN MODULUS OF CONTINUITY
Mathematics of the USSR-Sbornik, 1978We denote by the least deviation of the continuous function , , from the rational functions of order at most .We establish the following theorems.Theorem 1. Let be convex on () with modulus of continuity . Then where is an absolute constant.Theorem 2. There exist a convex function and a sequence such that 1) , , and 2) , where is an absolute constant ...
openaire +2 more sources