Results 61 to 70 of about 188,291 (210)

On generalized orlicz sequence spaces of Fourier coefficients for trigonometric gap series. I. [PDF]

, 1991
We investigate the operator associating with a function fєLp2π ...
Musielak, J.
core  

A New Generalization of Bivariate Sampling Kantorovich Operators and Applications to Image Processing

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15413-15432, 15 November 2025.
ABSTRACT In this paper, we introduce bivariate modified sampling Kantorovich operators, which extend the classical sampling Kantorovich operators by incorporating a transformation function ρ$$ \rho $$. The paper begins by presenting essential definitions, including to introduce new bivariate weighted modulus of continuity, and its fundamental ...
Metin Turgay, Tuncer Acar
wiley   +1 more source

Characterizations of ball-covering of separable Banach space and application

Communications in Analysis and Mechanics, 2023
In this paper, we first prove that the space $ (X, \|\cdot\|) $ is separable if and only if for every $ \varepsilon\in $ $ (0, 1) $, there is a dense subset $ G $ of $ X^{*} $ and a $ w^{*} $-lower semicontinuous norm $ \|\cdot\|_{0} $ of $ X^{*} $ so ...
Shaoqiang Shang
doaj   +1 more source

Characterization of triple χ3 sequence spaces via Orlicz functions [PDF]

Mathematica Moravica, 2016
In this paper we study of the characterization and general properties of triple gai sequence via Orlicz space of χ3 M of χ3 establishing some inclusion relations.
Subramanian N., Esi A.
doaj  

Property ( k) of Orlicz Sequence Spaces

Journal of Harbin University of Science and Technology, 2017
Property ( k) is an important geometric property in Banach spaces，and it is closely associated with fixed point property． By the geometric theory of Banach spaces and Orlicz spaces， we investigated the characterization for property( k) in a special ...
ZUO Ming-xia, PENG Li-na
doaj   +1 more source

Stochastic integration with respect to cylindrical Lévy processes in Hilbert spaces

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract In this work, we present a comprehensive theory of stochastic integration with respect to arbitrary cylindrical Lévy processes in Hilbert spaces. As cylindrical Lévy processes do not enjoy a semimartingale decomposition, our approach relies on an alternative approach to stochastic integration by decoupled tangent sequences.
Gergely Bodó, Markus Riedle
wiley   +1 more source

Continuity and essential norm of operators defined by infinite tridiagonal matrices in weighted Orlicz and l∞ spaces

Open Mathematics
In this article, we provide a comprehensive study on the continuity and essential norm of an operator defined by an infinite tridiagonal matrix, specifically when it operates from a weighted Orlicz sequence space or a weighted l∞{l}^{\infty } space into ...
Ramos-Fernández Julio C., Ramos-Salas Carlos J., Salas-Brown Margot   +2 more
doaj   +1 more source

Perturbation Method in Orlicz Sequence Spaces

Set-Valued and Variational Analysis
We develop a new perturbation method in Orlicz sequence spaces $\ell_M$ with Orlicz function $M$ satisfying $Δ_2$ condition at zero. This result allows one to support from below any bounded below lower semicontinuous function with bounded support, with a perturbation of the defining function $σ_M$.
Hristina Topalova, Nadia Zlateva
openaire   +3 more sources

The De Giorgi method for local and nonlocal systems

Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
Abstract We extend the De Giorgi iteration technique to the vectorial setting. For this we replace the usual scalar truncation operator by a vectorial shortening operator. As an application, we prove local boundedness for local and nonlocal nonlinear systems.
Linus Behn, Lars Diening, Simon Nowak, Toni Scharle   +3 more
wiley   +1 more source