Results 81 to 90 of about 273 (178)
Journal of Inequalities and Applications, 2019 In this paper, we introduce the Orlicz space corresponding to the Young function and, by virtue of the equivalent theorem between the modified K-functional and modulus of smoothness, establish the direct, inverse, and equivalent theorems for linear ...
Ling-Xiong Han, Bai-Ni Guo, Feng Qi
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Strictly Positive Functionals in Orlicz Spaces
In this short paper, we do prove how to define strictly positive functionals in dual pairs of Orlicz Spaces. These Orlicz Spaces are endowed with the pointwise partial ordering. The Young functions that imply the definition of these dual pairs is significant for the difference between them.
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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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Strongly nonlinear potential theory on metric spaces
Abstract and Applied Analysis, 2002 We define Orlicz-Sobolev spaces on an arbitrary metric space with a Borel regular outer measure, and we develop a capacity theory based on these spaces. We study basic properties of capacity and several convergence results.
Noureddine Aïssaoui
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Abstract and Applied Analysis, 2013 In the present paper we introduced the ideal convergence of generalized difference sequence spaces combining de La Vallée-Poussin mean and Musielak-Orlicz function over n-normed spaces.
Awad A. Bakery +2 more
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Boundary optimal control of time-space SIR model with nonlinear Robin boundary condition. [PDF]
Int J Dyn Control, 2022 Essoufi EH, Zafrar A.
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CONJUGATE FUNCTIONS IN ORLICZ SPACES [PDF]
Pacific Journal of Mathematics, 1962 openaire +4 more sources
Maximal function on Musielak–Orlicz spaces and generalized Lebesgue spaces
Bulletin des Sciences Mathématiques, 2005 It is proved that the uniform boundedness of averaging operators corresponding to families of disjoint cubes is equivalent to the boundedness of the Hardy--Littlewood maximal operator \(M\) on generalized Lebesgue space \(L^{p(\cdot)}(\mathbb R^d)\) with \(1< \operatorname{ess}\inf p\leq \operatorname{ess}\sup p< \infty\).
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Rates of convergence for regression with the graph poly-Laplacian. [PDF]
Sampl Theory Signal Process Data Anal, 2023 Trillos NG, Murray R, Thorpe M.
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