On the degree of approximation of functions belonging to a Lipschitz class by Hausdorff means of its fourier series

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摘要

In a recent paper Lal and Yadov [4] obtained a theorem on the degree of approximation for a function belonging to the Lipschitz class Lipα using the product of the Cesàro and Euler means of order one of its Fourier series. In this paper we extend this result to any regular Hausdorff matrix for the same class of functions.

论文关键词:Degree of approximation,Fourier series,Hausdorff matrices

论文评审过程:Available online 1 February 2011.

论文官网地址:https://doi.org/10.1016/j.amc.2011.01.034