Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent-Reference-Cited by-同舟云学术

Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent

Published:2017-10-26 Issue:1 Volume:50 Page:245-251
ISSN:2391-4661
Container-title:Demonstratio Mathematica
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Author:

Jafarov Sadulla Z.

Abstract

Abstract The relation between derivatives of a polynomial of best approximation and the best approximation of the function is investigated in generalized Lebesgue spaces with variable exponent. In addition, the relationship between the fractional modulus of smoothness of the function and its de la Vallée-Poussin sums is studied.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2017-0023/pdf

Reference37 articles.

1. Approximation by polynomials in the weighted Smirnov class the polynomials;Israfilov;Approx,2001

2. Diferentiation and integration of variable order an the spaces Lp Operator theory for complex and hypercomplex analysis City Providence;Samko;Math Math Soc,1994

3. Theory of approximation of functions of a real variable Pergamon Russian orginal published by Fizmatgiz;Timan,1963

4. Simultaneous and converse approximation theorems in weighted Lebesgue spaces;Yildirir;Math Inequal Appl,2011

5. The inverse theorem of approximation of the function in Smirnov classes;Jafarov;Math Inequal Appl,2012

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