DEGREE OF APPROXIMATION IN THE GENERALIZED LIPSCHITZ CLASS VIA (E; q)A- PRODUCT SUMMABILITY MEANS OF FOURIER SERIES

DEGREE OF APPROXIMATION IN THE GENERALIZED LIPSCHITZ CLASS VIA (E; q)A- PRODUCT SUMMABILITY MEANS OF FOURIER SERIES

A. A. Das, S. K. Paikray, P. Parida, U. K. Misra

[PDF]

Abstract

Dealing with degree of approximation of Fourier series of functions of Lipchitz classes, some results have been established by Nigam [15] and Misra et al. [17]. In this paper, we have established a new theorem based on (E; q)A- product summability mean in order to estimate the degree of approximation of a function f 2 Lip((t); r).

Keywords

(E; q)A- product summability mean, Lipchitz classes, degree of approximation, Fourier series.