The Modulus of Nearly Uniform Smoothness in Orlicz Sequence Spaces [PDF]
Journal of Function Spaces, 2019 It is well known that the modulus of nearly uniform smoothness related with the fixed point property is important in Banach spaces. In this paper, we prove that the modulus of nearly uniform smoothness in Köthe sequence spaces without absolutely ...
Shaoyong Zhang +2 more
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Characterization of mixed modulus of smoothness in weighted \(L^p\) spaces
Journal of Numerical Analysis and Approximation Theory, 2016 Characterization class for mixed modulus of smoothness in Lebesgue spaces with Muckenhoupt weights are investigated.
Ramazan Akgün
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On a modified modulus of smoothness of a Banach space
Journal of Numerical Analysis and Approximation Theory, 1993 Not available.
Ioan Şerb
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MODIFIED MODULUS OF SMOOTHNESS AND APPROXIMATION IN WEIGHTED LORENTZ SPACES BY BOREL AND EULER MEANS
Проблемы анализа, 2020 Using one-sided Steklov means, we introduce a new modulus of smoothness in weighted Lorentz spaces. The direct and inverse approximation theorem for this modulus of smoothness are proved.
S. S. Volosivets
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A modulus of smoothness for some Banach function spaces
Ukrains’kyi Matematychnyi Zhurnal, 2023 UDC 517.5 Based on the Steklov operator, we consider a modulus of smoothness of functions in some Banach function spaces, which can be not translation invariant and establish its main properties. A constructive characterization of the Lipschitz class is obtained by using the Jackson-type direct theorem and inverse theorem of trigonometric ...
Ramazan Akgün
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Approximating classes of functions defined by a generalised modulus of\n smoothness [PDF]
, 2014 6 pages, Communicated in the 1st International Eurasian Conference on Mathematics Sciences and Applications (IECMSA), Prishtin\"e, Kosovo ...
Faton M. Berısha, Nimete Sh. Berisha
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Generalized Jacobian Weighted Modulus of Smoothness
Iraqi Journal of Science, 2023 The topic of modulus of smoothness still gets the interest of many researchers due to its applicable usage in different fields, especially for function approximation. In this paper, we define a new modulus of smoothness of weighted type. The properties of our modulus are studied.
Ahmad AbdulKarim Al-Dhahabi +1 more
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Best Approximation of Unbounded Functions by Modulus of Smoothness
European Journal of Pure and Applied Mathematics, 2023 In this paper, we study the approximation of unbounded functions in a weighted space by modulus of smoothness using various linear operators. We establish direct theorems for such approximations and analyze the properties of the modulus of smoothness within the same space.
Alaa Adnan Auad +2 more
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Trigonometric Approximation by Modulus of Smoothness in Lp,α (X)
Al-Mustansiriyah Journal of Science, 2021 In this paper, we study the approximate properties of functions by means of trigonometric polynomials in weighted spaces. Relationships between modulus of smoothness of function derivatives and those of the jobs themselves are introduced. In the weighted
Mohammed Hamad Fayyadh, Alaa Adnan Auad
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Equivalence of K-functionals and modulus of smoothness generated by a Dunkl type operator on the interval $(-1, 1)$ [PDF]
Comptes Rendus. Mathématique, 2023 Our aim in this paper is to show that the modulus of smoothness and the $K$-functionals constructed from the Sobolev-type space corresponding to the Dunkl operator are equivalent on the interval $(-1,1)$.
Saadi, Faouaz, Daher, Radouan
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