Results 31 to 40 of about 1,556 (219)

K-uniform convexity in Orlicz-Lorentz function space equipped with the Orlicz norm

Indian Journal of Pure and Applied Mathematics, 2022
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Di Wang, Yunan Cui
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The Banach-Saks Properties in Orlicz-Lorentz Spaces

Abstract and Applied Analysis, 2014
The Banach-Saks index of an Orlicz-Lorentz space Λφ,w(I) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of φ. It is also shown that an Orlicz-Lorentz function space has weak Banach-Saks (resp., Banach-Saks)
Anna Kamińska, Han Ju Lee
doaj   +1 more source

Strongly Extreme Points and Middle Point Locally Uniformly Convex in Orlicz Spaces Equipped with s-Norm

Journal of Function Spaces, 2019
As is well known, the extreme points and strongly extreme points play important roles in Banach spaces. In this paper, the criterion for strongly extreme points in Orlicz spaces equipped with s-norm is given.
Yunan Cui, Yujia Zhan
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M-constants in Orlicz Spaces Equipped with the Luxemburg Norm

Journal of Harbin University of Science and Technology, 2022
Riesz angle μ2(x)is an important geometric constant in Banach lattice spaces, which is closely related to the fixed point properties of spaces. In this paper, the M-constants of Orlicz function spaces and Orlicz sequence spaces equipped with Luxemburg ...
WANG Zi-xuan, CUI Yun-an, WANG Jing
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Proximunalty in Orlicz-bochner Function Spaces

Tamkang Journal of Mathematics, 2003
A (closed) subspace $ Y$ of a Banach space $ X$ is called proximinal if for every $ x\in X$ there exists some $ y\in Y$ such that $ \|x-y\|\le\|x-z\|$ for $ z\in Y$. It is the object of this paper is to study the proximinality of $ L^\Phi(I,Y)$ in $ L^\Phi(I,X)$ for some class of Young's functions $ \Phi$, where $ I$ is the unit interval.
Khandaqji, M., Khalil, R., Hussein, D.
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Uniformly Normal Structure of Orlicz Function Spaces Equipped with the p-Amemiya Norm

Journal of Harbin University of Science and Technology
In this paper, we mainly investigate the uniformly normal structure of Orlicz function spaces equipped with the p-Amemiya norm. A necessary and sufficient condition for Orlicz function spaces equipped with the p-Amemiya norm to have a uniformly normal
ZUO Mingxia, XU Zeyu
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Contractive projections in Orlicz sequence spaces

Abstract and Applied Analysis, 2004
We characterize norm-one complemented subspaces of Orlicz sequence spaces ℓM equipped with either Luxemburg or Orlicz norm, provided that the Orlicz function M is sufficiently smooth and sufficiently different from the square function.
Beata Randrianantoanina
doaj   +1 more source

Kadec-Klee Property in Orlicz Function Spaces Equipped with S-Norms

Journal of Function Spaces, 2022
Using some new techniques, the necessary and sufficient conditions for Kadec-Klee property of Orlicz function spaces equipped with s-norms are presented.
Jiaqi Dong, Yunan Cui, Marek Wisła
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On the uniform convexity of the Besicovitch–Orlicz space of almost periodic functions with Orlicz norm [PDF]

Colloquium Mathematicum, 2005
Let \(\phi\) be an Orlicz function (convex function \(\phi : {\mathbb R}_+ \to {\mathbb R}_+\) such that \(\phi (0)= 0\), \(\phi (u) >0\) for \(u > 0\), \(\phi(u)/u \mathop{\longrightarrow} 0\) for \(u \to 0\) and \(\phi(u)/u \mathop{\longrightarrow} \infty\) for \(u \to \infty\)).
Morsli, Mohamed, Bedouhene, Fazia
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Empirical‐Process Limit Theory and Filter Approximation Bounds for Score‐Driven Time Series Models

Journal of Time Series Analysis, EarlyView.
ABSTRACT This article examines the filtering and approximation‐theoretic properties of score‐driven time series models. Under specific Lipschitz‐type and tail conditions, new results are derived, leading to maximal and deviation inequalities for the filtering approximation error using empirical process theory.
Enzo D'Innocenzo
wiley   +1 more source