Approximation of functions in the generalized Zygmund class using Hausdorff meansReportar como inadecuado




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Journal of Inequalities and Applications

, 2017:101

First Online: 05 May 2017Received: 20 December 2016Accepted: 11 April 2017DOI: 10.1186-s13660-017-1361-8

Cite this article as: Singh, M.V., Mittal, M. & Rhoades, B. J Inequal Appl 2017 2017: 101. doi:10.1186-s13660-017-1361-8

Abstract

In this paper we investigate the degree of approximation of a function belonging to the generalized Zygmund class \Z {p}^{\omega}\ \p \ge1\ by Hausdorff means of its Fourier series. We also deduce a corollary and mention a few applications of our main results.

KeywordsZygmund class degree of approximation trigonometric Fourier series Hausdorff means MSC42A10 42A25 40C05 



Autor: Mradul Veer Singh - ML Mittal - BE Rhoades

Fuente: https://link.springer.com/







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