Results 1 to 10 of about 6,489 (179)

Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces [PDF]

open access: yesJournal of Inequalities and Applications, 2018
We introduce new classes of generalized Orlicz-Garling sequences and Orlicz-Lorentz sequences by using a sequence of Orlicz functions and difference operator.
Charu Sharma   +3 more
doaj   +5 more sources

Perturbation Method in Orlicz Sequence Spaces [PDF]

open access: greenSet-Valued and Variational Analysis, 2023
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
openalex   +4 more sources

GENERALIZED ORLICZ SEQUENCE SPACES

open access: yesBarekeng, 2023
Orlicz spaces were first introduced by Z. W. Birnbaum and W. Orlicz as an extension of Labesgue space in 1931. There are two types of Orlicz spaces, namely continuous Orlicz spaces and Orlicz sequence spaces.
Cece Kustiawan   +5 more
doaj   +2 more sources

Multiplication Operators on Cesàro-Orlicz Sequence Spaces

open access: bronzeFasciculi Mathematici, 2016
AbstractIn this paper, we characterize the compact, invertible, Fredholm and closed range multiplication operators on Cesàro-Orlicz sequence spaces.
Kuldip Raj, Charu Sharma, Suruchi Pandoh
openalex   +3 more sources

SOME SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS [PDF]

open access: hybridDemonstratio 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 ...
Vinod Kumar Bhardwaj, Niranjan Singh
openalex   +2 more sources

Weakly compact sets in Orlicz sequence spaces [PDF]

open access: greenCzechoslovak Mathematical Journal, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Siyu Shi, Zhongrui Shi, Shujun Wu
openalex   +2 more sources

Seminormed double sequence spaces of four-dimensional matrix and Musielak–Orlicz function [PDF]

open access: yesJournal of Inequalities and Applications, 2018
In this paper we study seminormed double sequence spaces of a four-dimensional matrix and Musielak–Orlicz function over n-normed spaces. We explore some interesting inclusion relations, algebraic and topological properties of these spaces.
Renu Anand, Charu Sharma, Kuldip Raj
doaj   +2 more sources

Spaces of Ideal Convergent Sequences [PDF]

open access: yesThe Scientific World Journal, 2014
In the present paper, we introduce some sequence spaces using ideal convergence and Musielak-Orlicz function ℳ=Mk. We also examine some topological properties of the resulting sequence spaces.
M. Mursaleen, Sunil K. Sharma
doaj   +2 more sources

Complete paranormed Orlicz Lorentz sequence spaces over n -normed spaces

open access: diamondJournal of the Egyptian Mathematical Society, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Renu Anand, Kuldip Raj
openalex   +2 more sources

Some sequence spaces of fuzzy numbers defined by Orlicz function [PDF]

open access: diamondActa Scientiarum: Technology, 2015
In this article we introduce some fuzzy sequence spaces defined by Orlicz function and study different properties of these spaces like completeness, symmetricity etc. We establish some inclusion results among them.
Bipul Sarma
doaj   +2 more sources

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