Results 81 to 90 of about 10,565 (190)

Approximation results in Orlicz spaces by modified sampling Kantorovich operators

Demonstratio Mathematica
This paper deals with the modified sampling Kantorovich operators. We start by presenting the primary notations of Orlicz spaces and fundamental auxiliary results.
Turgay Metin
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Monotonicities of Quasi-Normed Orlicz Spaces

Axioms
In this paper, we introduce a new Orlicz function, namely a b-Orlicz function, which is not necessarily convex. The Orlicz spaces LΦ generated by the b-Orlicz function Φ equipped with a Luxemburg quasi-norm contain both classical spaces Lp(p≥1) and Lp ...
Dong Ji, Yunan Cui
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Weyl's Law for the Steklov Problem on Surfaces with Rough Boundary. [PDF]

Arch Ration Mech Anal, 2023
Karpukhin M, Lagacé J, Polterovich I.
europepmc   +1 more source

Potential estimates in Orlicz spaces [PDF]

Pacific Journal of Mathematics, 1988
Using the capacity method, the author establishes inequalities useful in solving quasilinear Dirichlet problems of the form \[ (1-\Delta)^ mu=f(x,u)\quad in\quad \Omega \subset {\mathbb{R}}^ n,\quad u(x)=0\quad on\quad \partial \Omega, \] by means of topological methods. More precisely, he considers continuous even functions \(M_ 0\), M: \({\mathbb{R}}\
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ON \(\lambda\)-WEAK CONVERGENCE OF SEQUENCES DEFINED BY AN ORLICZ FUNCTION

Ural Mathematical Journal
In 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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Multiple solutions for Kirchhoff elliptic equations in Orlicz-Sobolev spaces

Boundary Value Problems, 2017
We investigate the existence of solutions of the Kirchhoff elliptic equations with nonlinearity in R N $R^{N}$ . Using the ideas developed in Orlicz spaces and the technique of variation principle, we prove that there are at least three solutions in ...
Shujun Wu
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Inclusions of Hardy Orlicz spaces [PDF]

International Journal of Mathematics and Mathematical Sciences, 1986
Let ϕ be a continuous positive increasing function defined on [0, ∞) such that ϕ(x + y) ≤ ϕ(x) + ϕ(y) and ϕ(0) = 0. The Hardy‐Orlicz space generated by ϕ is denoted by H(ϕ). In this paper, we prove that for ϕ ≠ ψ, if H(ϕ) = H(ψ) as sets, then H(ϕ) = H(ψ) as topological vector spaces. Some other results are given.
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𝑝-Carleson Measures for a Class of Hardy-Orlicz Spaces

International Journal of Mathematics and Mathematical Sciences, 2011
An alternative interpretation of a family of weighted Carleson measures is used to characterize 𝑝-Carleson measures for a class of Hardy-Orlicz spaces admitting a nice weak factorization.
Benoît Florent Sehba
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Fractional integration in Orlicz spaces [PDF]

Proceedings of the American Mathematical Society, 1976
Fractional integration and convolution results are given for Orlicz spaces using an inequality earlier developed for Λ α ( X ) {\Lambda _\alpha }(X) spaces which generalize Lorentz L ( p , q ) L(p,q ...
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Quantitative estimates for perturbed sampling Kantorovich operators in Orlicz spaces

Demonstratio Mathematica
In the present work, we establish a quantitative estimate for the perturbed sampling Kantorovich operators in Orlicz spaces, in terms of the modulus of smoothness, defined by means of its modular functional.
Costarelli Danilo, De Angelis Eleonora, Vinti Gianluca   +2 more
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