Results 11 to 20 of about 173,284,203 (287)

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, Meiling Zhang, Yujia Zhan   +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
doaj   +6 more sources

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
The estimates of best approximation using classical modulus of smoothness is not uniform. Also we sometimes need to improve the degree of best approximation near the end points. Thus we need to improve this classical modulus of smoothness. Here we define a new modulus of smoothness to achieve uniform estimates of  best approximation and an improvement ...
Bhaya, Eman Samir, Hussein, Bushra Khudhair   +1 more
openaire   +4 more sources

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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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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Some Modulus and Normal Structure in Banach Space [PDF]

Journal of Inequalities and Applications, 2009
We present some sufficient conditions for which a Banach space X has normal structure in terms of the modulus of U-convexity, modulus of W∗-convexity, and the coefficient R(1,X), which generalized some well-known results.
Zhanfei Zuo, Yunan Cui
doaj   +3 more sources

Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights [PDF]

Journal of Applied Mathematics, 2012
Using the modulus of smoothness, directional derivatives of multivariate Bernstein operators with weights are characterized. The obtained results partly generalize the corresponding ones for multivariate Bernstein operators without weights.
Jianjun Wang, Zuoxiang Peng, Shukai Duan, Jia Jing   +3 more
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Global smoothness and approximation by generalized discrete singular operators [PDF]

Journal of Numerical Analysis and Approximation Theory, 2014
In this article we continue with the study of generalized discrete singular operators over the real line regarding their simultaneous global smoothness preservation property with respect to \(L_{p}\) norm for \( 1\leq p\leq \infty ,\) by involving ...
George A. Anastassiou, Merve Kester
doaj   +3 more sources