Results 61 to 70 of about 8,395 (175)

On Approximation by Linear Combinations of Modified Summation Operators of Integral Type in Orlicz Spaces

Mathematics, 2018
In this paper, the authors introduce the Orlicz spaces 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 ...
Ling-Xiong Han, Feng Qi
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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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On Orlicz Difference Sequence Spaces

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2010
: The main aim of this article is to generalize the famous Orlicz sequence space by using difference operators and a sequence of non-zero scalars and investigate some topological structure relevant to this generalized space.
Hemen Dutta
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Monotonicity in Modular Function Spaces Equipped with O-norm

Journal of Harbin University of Science and Technology
Modular function spaces are extensions of Lebesgue spaces and Orlicz spaces. We introduce Orlicz norm in Modular function spaces, and study the monotonicity in modular function spaces equipped with O-norm and L-norm.
HU Xuemei, CUI Yunan
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Characterizations for the Riesz potential and its commutators on generalized Orlicz-Morrey spaces

Journal of Inequalities and Applications, 2016
In the present paper, we shall give a characterization for the Spanne and Adams type boundedness of the Riesz potential and its commutators on the generalized Orlicz-Morrey spaces, respectively.
Fatih Deringoz, Vagif S Guliyev, Sabir G Hasanov   +2 more
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Nonsquareness and Locally Uniform Nonsquareness in Orlicz-Bochner Function Spaces Endowed with Luxemburg Norm

Journal of Inequalities and Applications, 2011
Criteria for nonsquareness and locally uniform nonsquareness of Orlicz-Bochner function spaces equipped with Luxemburg norm are given. We also prove that, in Orlicz-Bochner function spaces generated by locally uniform nonsquare Banach space ...
Cui Yunan, Shang Shaoqiang, Fu Yongqiang
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Anisotropic interpolation theorems of Musielak-Orlicz type

Journal of Inequalities and Applications, 2016
Anisotropy is a common attribute of Nature, which shows different characterizations in different directions of all or part of the physical or chemical properties of an object. The anisotropic property, in mathematics, can be expressed by a fairly general
Jinxia Li, Ruirui Sun, Baode Li
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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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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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On the A-Laplacian

Abstract and Applied Analysis, 2003
We prove, for Orlicz spaces LA(ℝN) such that A satisfies the Δ2 condition, the nonresolvability of the A-Laplacian equation ΔAu+h=0 on ℝN, where ∫h≠0, if ℝN is A-parabolic.
Noureddine Aïssaoui
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