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 [PDF]
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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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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MODIFIED MODULUS OF SMOOTHNESS AND APPROXIMATION IN WEIGHTED LORENTZ SPACES BY BOREL AND EULER MEANS [PDF]
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 New Modulus of Smoothness for Uniform Approximation [PDF]
JOURNAL OF UNIVERSITY OF BABYLON for Pure and Applied Sciences, 2018 نظريات التقريب الافضل باستخدام مقياس النعومه الاعتيادي لا تعطي تقريبا منتظمة. كذلك نحتاج في بعض الاحيان لتطوير درجة التقريب الافضل قريبا من نهايات الفترة. لذا نحتاج لتطوير مقياس النعومة الاعتيادي. في هذا البحث عرفنا مقياسا جديدا للنعومة للحصول على تقريبا
Hussein, Bushra Khudhair +1 more
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Modulus of smoothness and theorems concerning approximation on compact groups [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 We consider the generalized shift operator defined by (Shuf)(g)=∫Gf(tut−1g)dt on a compact group G, and by using this operator, we define spherical modulus of smoothness. So, we prove Stechkin and Jackson-type theorems.
H. Vaezi, S. F. Rzaev
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Characterization of Best Algebraic Approximation by an Algebraic Modulus of Smoothness [PDF]
Journal of Approximation Theory, 1997 The author introduced in an earlier paper a modulus of smoothness for nonperiodic functions based on an algebraic addition ⊕ defined on [−1, 1]. In this paper the Steklov functions and an equivalentK-functional are given.
Felten, Michael
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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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A characterization of a modulus of smoothness in multidimensional setting
, 2011 A classical result of approximation theory states that the modulus of smoothness of a function f (omega(f,delta)), defined by means of the variation functional, converges to 0 as delta tends to 0 from the right if and only if f is absolutely continuous ...
ANGELONI, Laura
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A note on $K$-functional, Modulus of smoothness, Jackson theorem and Nikolskii-Stechkin inequality on Damek-Ricci spaces [PDF]
, 2021 In this paper we study approximation theorems for $L^2$-space on Damek-Ricci spaces. We prove direct Jackson theorem of approximations for the modulus of smoothness defined using spherical mean operator on Damek-Ricci spaces.
Kumar, V, Ruzhansky, M
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