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Lower Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
AxiomsLower strict monotonicity points and lower local uniform monotonicity points are considered in the case of Musielak–Orlicz function spaces LΦ endowed with the Mazur–Orlicz F-norm.
Yanli Liu, Yangyang Xue, Yunan Cui
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The exact values of nonsquare constants for a class of Orlicz spaces [PDF]
Opuscula Mathematica, 2005 We extend the \(M_{\triangle}\)-condition from [Han J.,Li X.: On Exact Value of Packing for a Class of Orlicz Spaces. (Chinese), Journal of Tongji Univ. 30 (2002) 7, 895–899] and introduce the \(\Phi_{\triangle}\)-condition at zero.
Jincai Wang
doaj
REFLEKSIVITAS PADA RUANG ORLICZ DENGAN KEKONVERGENAN RATA-RATA [PDF]
, 2014 Ruang Orlicz (L_θ ) merupakan perluasan dari ruang terintegral Lebesgue L_p,p≥1 yang diperkenalkan oleh Z.W. Rirnbaun dan W. Orlicz pada sekitar tahun 1931.
Utari, Mila Apriliani
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Orlicz Algebras Associated to a Banach Function Space
Hacettepe Journal of Mathematics and Statistics, 2023 In this paper, we study the spaces ${\mathcal X}^\Phi$ as Banach algebras, where $\mathcal X$ is a quasi-Banach space and $\Phi$ is a Young function, and extend some well-known facts regarding Lebesgue and Orlicz spaces on this new structure. Also, for each $p\geq 1$, we give some necessary condition for the space $\mathcal{X}^p$ to be a Banach algebra
Chung-chuan CHEN +2 more
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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
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Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya Norm
Abstract and Applied Analysis, 2014 The complex convexity of Musielak-Orlicz function spaces equipped with the p-Amemiya norm is mainly discussed.
Lili Chen, Yunan Cui, Yanfeng Zhao
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Local approach to order continuity in Ces\`aro function spaces
, 2017 The goal of this paper is to present a complete characterisation of points of order continuity in abstract Ces\`aro function spaces $CX$ for $X$ being a symmetric function space. Under some additional assumptions mentioned result takes the form $(CX)_a =
Kiwerski, Tomasz, Tomaszewski, Jakub
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Embeddings between sequence variable Lebesgue spaces, strict and finitely strict singularity
Mathematische Nachrichten, Volume 298, Issue 9, Page 2926-2941, September 2025.Abstract For two variable Lebesgue spaces ℓpn$\ell _{p_n}$ and ℓqn$\ell _{q_n}$, with 0
Jan Lang, Aleš Nekvinda
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ON \(\lambda\)-WEAK CONVERGENCE OF SEQUENCES DEFINED BY AN ORLICZ FUNCTION
Ural Mathematical JournalIn this article, we introduce and rigorously analyze the concept of difference \(\lambda\)-weak convergence for sequences defined by an Orlicz function.
Ömer Kişi, Mehmet Gürdal
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Weak amenability of weighted Orlicz algebras
, 2017 Let G be a locally compact abelian group, $\omega:G\to (0,\infty)$ be a weight, and ($\Phi$,$\Psi$) be a complementary pair of strictly increasing continuous Young functions.
Samei, Ebrahim +2 more
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