Results 71 to 80 of about 273 (178)

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

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

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

Approximation in S-normed Orlicz Spaces

مجلة بغداد للعلوم
Orlicz spaces generalize conventional Lebesgue spaces, providing a more flexible framework for analyzing functions. They are essential to functional analysis and related fields, particularly in approximation theory.
Zainab Abdulmunim Sharba, Hawraa Abbas Almurieb, Samah Alhashemi   +2 more
doaj   +1 more source

On small Lebesgue spaces

Journal of Function Spaces and Applications, 2005
We consider a generalized version of the small Lebesgue spaces, introduced in [5] as the associate spaces of the grand Lebesgue spaces. We find a simplified expression for the norm, prove relevant properties, compute the fundamental function and discuss ...
Claudia Capone, Alberto Fiorenza
doaj   +1 more source

𝐴-Sequence Spaces in 2-Normed Space Defined by Ideal Convergence and an Orlicz Function

Abstract and Applied Analysis, 2011
We study some new 𝐴-sequence spaces using ideal convergence and an Orlicz function in 2-normed space and we give some relations related to these sequence spaces.
E. Savaş
doaj   +1 more source

DIFFERENCE SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS

Demonstratio Mathematica, 1999
There are five results in this paper. Given a sequence \(x= (x_k)\), \(\Delta x_k\) stands for \(x_k- x_{k+1}\) and \(\Delta x= (\Delta x_k: k= 1,2,\dots)\). Let \(\ell_\infty\), \(c\), \(c_0\) be the spaces of the bounded, the convergent and the null sequences, respectively.
Mursaleen, Khan, Mushir A., Qamaruddin
openaire   +2 more sources

Weyl's Law for the Steklov Problem on Surfaces with Rough Boundary. [PDF]

Arch Ration Mech Anal, 2023
Karpukhin M, Lagacé J, Polterovich I.
europepmc   +1 more source

Moduli and Characteristics of Monotonicity in Some Banach Lattices

Fixed Point Theory and Applications, 2010
First the characteristic of monotonicity of any Banach lattice X is expressed in terms of the left limit of the modulus of monotonicity of X at the point 1.
Miroslav Krbec, Radosław Kaczmarek, Henryk Hudzik, Paweł Foralewski   +3 more
doaj   +1 more source