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

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-Pou...

Full description

Bibliographic Details
Main Author:	Jafarov Sadulla Z.
Format:	Article
Language:	English
Published:	De Gruyter 2017-10-01
Series:	Demonstratio Mathematica
Subjects:	Lebesgue spaces with variable exponent fractional derivative fractional moduli of smoothness de la Vallée-Poussin sums best approximation by trigonometric polynomials
Online Access:	http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0023/dema-2017-0023.xml?format=INT

id	doaj-68d8f908a6a94d6aa35ce12b67a9038b
record_format	Article
spelling	doaj-68d8f908a6a94d6aa35ce12b67a9038b2020-11-24T21:23:12ZengDe GruyterDemonstratio Mathematica2391-46612017-10-0150124525110.1515/dema-2017-0023dema-2017-0023Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponentJafarov Sadulla Z.0Department of Mathematics and Science Education, Faculty of Education, Mus Alparslan University, 49250, Mus, Turkey and Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 9 B. Vahabzadeh str., AZ 1141, Baku, AzerbaijanThe 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.http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0023/dema-2017-0023.xml?format=INTLebesgue spaces with variable exponentfractional derivativefractional moduli of smoothnessde la Vallée-Poussin sumsbest approximation by trigonometric polynomials
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Jafarov Sadulla Z.
spellingShingle	Jafarov Sadulla Z. Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent Demonstratio Mathematica Lebesgue spaces with variable exponent fractional derivative fractional moduli of smoothness de la Vallée-Poussin sums best approximation by trigonometric polynomials
author_facet	Jafarov Sadulla Z.
author_sort	Jafarov Sadulla Z.
title	Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent
title_short	Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent
title_full	Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent
title_fullStr	Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent
title_full_unstemmed	Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent
title_sort	derivatives of a polynomial of best approximation and modulus of smoothness in generalized lebesgue spaces with variable exponent
publisher	De Gruyter
series	Demonstratio Mathematica
issn	2391-4661
publishDate	2017-10-01
description	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.
topic	Lebesgue spaces with variable exponent fractional derivative fractional moduli of smoothness de la Vallée-Poussin sums best approximation by trigonometric polynomials
url	http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0023/dema-2017-0023.xml?format=INT
work_keys_str_mv	AT jafarovsadullaz derivativesofapolynomialofbestapproximationandmodulusofsmoothnessingeneralizedlebesguespaceswithvariableexponent
_version_	1725993084636889088

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

Similar Items