Results 51 to 60 of about 8,406 (194)

On some new paranormed sequence spaces of fuzzy numbers defined by Orlicz functions and statistical convergence

Mathematical Modelling and Analysis, 2006
In this paper we introduce the concept of strongly λ(p) convergence of fuzzy numbers with respect to an Orlicz function and examine some properties of the resulting sequence spaces and λ(p) – statistical convergence.
A. Esi
doaj   +1 more source

Multiplicativity Factors for Orlicz Space Function Norms

Journal of Mathematical Analysis and Applications, 1993
Let \(\varphi\) be a Young function on \([0, \infty)\), \((T, \Omega, m)\) be a measure space, and \(L^ \varphi = L^ \varphi (T, \Omega, m)\) be an Orlicz space equipped with the Luxemburg norm \(\rho_ \varphi\) (so that \(L^ \infty \equiv L^ \varphi\) for \(\varphi (s) = \{{0, \atop \infty,} {s \in [0,1]; \atop s > 1.})\). Put \(m_{\inf} = \inf \{m(A)
Arens, Richard, Goldberg, Moshe, Luxemburg, W. A. J.   +2 more
openaire   +3 more sources

The domination theorem for operator classes generated by Orlicz spaces

Mathematische Nachrichten, Volume 298, Issue 11, Page 3576-3598, November 2025.
Abstract We study lattice summing operators between Banach spaces focusing on two classes, ℓφ$\ell _\varphi$‐summing and strongly φ$\varphi$‐summing operators, which are generated by Orlicz sequence lattices ℓφ$\ell _\varphi$. For the class of strongly φ$\varphi$‐summing operators, we prove the domination theorem, which complements Pietsch's ...
D. L. Fernandez, M. Mastyło, J. Santos, E. B. Silva   +3 more
wiley   +1 more source

SOME SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS

Demonstratio Mathematica, 2000
A lacunary sequence \(\theta= (k_r)\), \(r= 0,1,2,\dots\) with \(k_0= 0\), \(k_r-k_{r-1}\to \infty\) is given. The intervals determined by \(\theta\) are \(I_r= (k_{r-1}, k_r]\). Let \(h_r= k_r-k_{r-1}\). Define \[ [N_\theta, M,p]= \Biggl\{(x_k): \lim_{r\to\infty} h^{-1}_r \sum_k\Biggl[M\Biggl({|x_k- \ell|\over\rho}\Biggr)\Biggr]^{p_k}= 0\text{ for ...
Bhardwaj, Vinod K., Singh, Niranjan
openaire   +1 more source

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

Noncreasy and uniformly noncreasy Orlicz function spaces

Journal of Mathematical Analysis and Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Bor-Luh, Shi, Zhongrui
openaire   +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

Weak Orlicz-Hardy Martingale Spaces [PDF]

, 2013
In this paper, several weak Orlicz-Hardy martingale spaces associated with concave functions are introduced, and some weak atomic decomposition theorems for them are established.
Jiao, Yong, Wu, Lian
core  

The robust Orlicz risk with an application to the green photovoltaic power generation

Asian Journal of Control, Volume 27, Issue 4, Page 1655-1667, July 2025.
Abstract We propose a novel recursive utility for controlling stochastic processes under risk and uncertainty. Our formulation uses a robustified Orlicz risk that can evaluate risk and uncertainty simultaneously. We focus on the control problem of a photovoltaic power generation system that supplies excess electricity for the secondary purpose of ...
Hidekazu Yoshioka, Motoh Tsujimura
wiley   +1 more source