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Advances in Pure and Applied Mathematics

Editor-in-Chief: Trimeche, Khalifa

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On some results on approximation of functions in weighted Lp spaces

Xhevat Z. Krasniqi
  • Department of Mathematics and Informatics, Faculty of Education, University of Prishtina, Avenue “Mother Theresa 5”, 10000 Prishtina, Kosova
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Published Online: 2013-10-17 | DOI: https://doi.org/10.1515/apam-2013-0021

Abstract.

The degree of approximation of functions, that belong to generalized Lipschitz classes, by Nörlund and Riesz transforms of partial sums of a trigonometric Fourier series in the weighted Lebesgue spaces is obtained.

Keywords: Generalized Lipschitz class; Fourier series; Muckenhoupt class

About the article

Received: 2013-07-28

Accepted: 2013-10-06

Published Online: 2013-10-17

Published in Print: 2013-12-01


Citation Information: Advances in Pure and Applied Mathematics, Volume 4, Issue 4, Pages 389–397, ISSN (Online) 1869-6090, ISSN (Print) 1867-1152, DOI: https://doi.org/10.1515/apam-2013-0021.

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