Results 71 to 80 of about 182,902 (194)
Some generalized difference double sequence spaces defined by a sequence of Orlicz-functions
Cubo, 2012 In the present paper we introduce some generalized difference double sequence spaces defined by a sequence of Orlicz-functions. We study some topological properties and some inclusion relations between these spaces.
Kuldip Raj, Sunil K Sharma
doaj
Some Classes of Difference Sequence Spaces of Fuzzy Real Numbers Defined by Orlicz Function
Advances in Fuzzy Systems, 2011 We introduce the classes of generalized difference bounded, convergent, and null sequences of fuzzy real numbers defined by an Orlicz function. Some properties of these sequence spaces like solidness, symmetricity, and convergence-free are studied.
Binod Chandra Tripathy, Stuti Borgohain
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On noncommutative distributional Khintchine type inequalities
Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2278-2295, July 2024.Abstract The purpose of this paper is to provide distributional estimates for the series of the form ∑k=1∞xk⊗rk$\sum _{k=1}^\infty x_k\otimes r_k$ with {xk}k⩾1$\lbrace x_k\rbrace _{k\geqslant 1}$ being elements from noncommutative Lorentz spaces Λlog1/2(M)$\Lambda _{\log ^{1/2}}(\mathcal {M})$ and {rk}k⩾1$\lbrace r_k\rbrace _{k\geqslant 1}$ being ...
Yong Jiao +3 more
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Some sequence spaces of fuzzy numbers defined by Orlicz function
Acta 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
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Journal of the London Mathematical Society, Volume 109, Issue 3, March 2024.Abstract In a smoothly bounded two‐dimensional domain Ω$\Omega$ and for a given nondecreasing positive unbounded ℓ∈C0([0,∞))$\ell \in C^0([0,\infty))$, for each K>0$K>0$ and η>0$\eta >0$ the inequality ∫Ωφlnφ⩽η∫Ω|∇φ|2φ2+C(K,η)$$\begin{eqnarray*} \hspace*{140pt} \int _\Omega \varphi \ln \varphi \leqslant \eta \int _\Omega \frac{|\nabla \varphi|^2 ...
Yulan Wang, Michael Winkler
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Journal of Function Spaces, 2018 We first define the notion of lacunary statistical convergence of order (α,β), and taking this notion into consideration, we introduce some seminormed difference sequence spaces over n-normed spaces with the help of Musielak-Orlicz function M=(Mk) of ...
S. A. Mohiuddine +2 more
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Jung constants of Orlicz sequence spaces [PDF]
Annales Polonici Mathematici, 2003 Summary: An estimation of the Jung constants of Orlicz sequence spaces equipped with either the Luxemburg norm or the Orlicz norm is given. The exact values of the Jung constants of a class of reflexive Orlicz sequence spaces are found by using new quantitative indices for \({\mathcal N}\)-functions.
openaire +2 more sources
A Class of Sequences Defined by Weak Ideal Convergence and Musielak-Orlicz Function
Abstract and Applied Analysis, 2014 We introduced the weak ideal convergence of new sequence spaces combining an infinite matrix of complex numbers and Musielak-Orlicz function over normed spaces. We also study some topological properties and inclusion relation between these spaces.
Awad A. Bakery
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On Integrated and Differentiated C_2-Sequence Spaces
International Journal of Analysis and Applications, 2018 The integrated and differentiated C_2-sequence spaces are defined and studied by using the norm on the bicomplex space C_2, infinite matrices of the bicomplex number and the Orlicz functions.
Lakshmi Narayan Mishra +2 more
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The spectrum generated by s-numbers and pre-quasi normed Orlicz-Cesáro mean sequence spaces
Open Mathematics, 2020 In this article, we study some topological properties of the multiplication operator on Orlicz-Cesáro mean sequence spaces equipped with the pre-quasi norm and the pre-quasi operator ideal constructed by this sequence space and s-numbers.
Bakery Awad A.
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