Results 11 to 20 of about 1,628,973 (292)

The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson's inequalities. [PDF]

Calc Var Partial Differ Equ, 2023
We show that the algebra of cylinder functions in the Wasserstein Sobolev space $$H^{1,q}(\mathcal {P}_p(X,\textsf{d}), W_{p, \textsf{d}}, \mathfrak {m})$$ H 1 , q ( P p ( X , d ) , W p , d , m ) generated by a finite and positive Borel measure ...
Sodini GE.
europepmc   +3 more sources

Ordered Uniform Convexity in Ordered Convex Metric Spaces with an Application to Fixed Point Theory

Journal of Function Spaces, 2022
In this paper, we introduce the concept of ordered uniform convexity in ordered convex metric spaces and study some properties of order uniform convexity.
Ismat Beg
doaj   +2 more sources

New Results about Radius of Convexity and Uniform Convexity of Bessel Functions

Axioms, 2022
We determine in this paper new results about the radius of uniform convexity of two kinds of normalization of the Bessel function Jν in the case ν∈(−2,−1), and provide an alternative proof regarding the radius of convexity of order alpha. We then compare
Luminiţa-Ioana Cotîrlă, Pál Aurel Kupán, Róbert Szász   +2 more
doaj   +2 more sources

Quasi uniform convexity - Revisited

Journal of Approximation Theory, 2017
For a Banach space, \(X\) denote by \(\mathcal{BC}(X)\) the family of all nonempty closed bounded subsets of \(X\). For \(A\in \mathcal{BC}(X)\), \(x\in X\) and \(r>0\), put \(r(A,x)=\sup_{a\in A}\|x-a\|\), \(r(A)=\inf_{x\in X}r(A,x)\), \(Z_r(A)=\{x\in X: r(A,x)\leq r\}\), and \(Z(A)=\{x\in X : r(A,x)=r(A)\}\).
L. Veselý
semanticscholar   +4 more sources

Uniform Convexity and Associate Spaces [PDF]

Czechoslovak Mathematical Journal, 2018
We prove that the associate space of a generalized Orlicz space Lϕ(·) is given by the conjugate modular ϕ* even without the assumption that simple functions belong to the space. Second, we show that every weakly doubling Φ-function is equivalent to a doubling Φ-function.
Petteri Harjulehto, P. Hästö
semanticscholar   +4 more sources

Moduli of uniform convexity for convex sets

Archiv der Mathematik
Let C be a proper, closed subset with nonempty interior in a normed space X. We define four variants of modulus of convexity for C and prove that they all coincide.
Carlo Alberto De Bernardi, L. Veselý
semanticscholar   +5 more sources

Uniform convexity, strong convexity and property UC

Journal of Mathematical Analysis and Applications, 2017
Autors' abstract: Property UC, introduced in 2009, plays a crucial role in several existence and convergence results for best proximity points and fixed points. In this paper, we present two approximation theoretic characterizations of uniform convexity and as consequences of these results, we characterize the uniform convexity in terms of property UC.
P. Shunmugaraj, V. Thota
semanticscholar   +3 more sources

On the Convexity Preservation of a Quasi C³ Nonlinear Interpolatory Reconstruction Operator on σ Quasi-Uniform Grids

Mathematics, 2021
This paper is devoted to introducing a nonlinear reconstruction operator, the piecewise polynomial harmonic (PPH), on nonuniform grids. We define this operator and we study its main properties, such as its reproduction of second-degree polynomials ...
Pedro Ortiz, Juan Carlos Trillo
doaj   +2 more sources

Uniform convexity and variational convergence [PDF]

Transactions of the Moscow Mathematical Society, 2014
Summary: Let \( \Omega \) be a domain in \( \mathbb{R}^d\). We establish the uniform convexity of the \( \Gamma \)-limit of a sequence of Carathéodory integrands \( f(x,\xi )\colon \Omega { \times }\mathbb{R}^d\to \mathbb{R}\) subject to a two-sided power-law estimate of coercivity and growth with respect to \( \xi \) with exponents \( \alpha \) and \(
V. Zhikov, S. Pastukhova
semanticscholar   +3 more sources

Uniform convexity in ℓ p (

Journal of Nonlinear Sciences and Applications, 2017
In this work, we investigate the variable exponent sequence space `p(·). In particular, we prove a geometric property similar to uniform convexity without the assumption lim supn→∞ p(n) < ∞.
M. Bachar, M. Bounkhel, M. Khamsi
semanticscholar   +3 more sources