Results 81 to 90 of about 4,655,315 (283)
Contractive and optimal sets in Musielak-Orlicz spaces with a smoothness condition [PDF]
Opuscula Mathematica, 2013 In this paper we use our recent generalization of a theorem of Jamison-Kamińska-Lewicki (characterizing one-complemented subspaces in Musielak-Orlicz sequence spaces defined by Musielak-Orlicz functions satisfying a general smoothness condition) in order
Anna Denkowska
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Constructive Mathematical Analysis, 2019 In the present paper we establish a quantitative estimate for the sampling Kantorovich operators with respect to the modulus of continuity in Orlicz spaces defined in terms of the modular functional.
D. Costarelli, G. Vinti
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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
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Fatou property, representations, and extensions of law-invariant risk measures on general Orlicz spaces [PDF]
Finance and Stochastics, 2017 We provide a variety of results for quasiconvex, law-invariant functionals defined on a general Orlicz space, which extend well-known results from the setting of bounded random variables. First, we show that Delbaen’s representation of convex functionals
N. Gao +3 more
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Optimality of embeddings in Orlicz spaces
Mathematische Nachrichten, Volume 298, Issue 7, Page 2380-2400, July 2025.Abstract Working with function spaces in various branches of mathematical analysis introduces optimality problems, where the question of choosing a function space both accessible and expressive becomes a nontrivial exercise. A good middle ground is provided by Orlicz spaces, parameterized by a single Young function and thus accessible, yet expansive ...
Tomáš Beránek
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Extreme Points in Orlicz Spaces Equipped with Snorm
Journal of Harbin University of Science and Technology, 2020 The extreme points and strongly extreme points are important contents of Banach space. In order to study the extreme points of Orlicz space equipped with snorm, some basic properties of the snorm are discussed firstly.
CUI Yunan, AN Lili, ZHAN Yujia
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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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Best approximation in Orlicz spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1989 Let X be a real Banach space and (Ω, μ) be a finite measure space and ϕ be a strictly icreasing convex continuous function on [0, ∞) with ϕ(0) = 0. The space Lϕ(μ, X) is the set of all measurable functions f with values in X such that for some c > 0.
S. Ayesh, H. Al-Minawi
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The De Giorgi method for local and nonlocal systems
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We extend the De Giorgi iteration technique to the vectorial setting. For this we replace the usual scalar truncation operator by a vectorial shortening operator. As an application, we prove local boundedness for local and nonlocal nonlinear systems.
Linus Behn +3 more
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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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