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

Authors

  • B. E. Rhoades

DOI:

https://doi.org/10.5556/j.tkjm.34.2003.316

Abstract

In a recent paper Lal and Yadav [1] obtained a theorem on the degree of approximation for a function belonging to a Lipschitz class using a triangular matrix transform of the Fourier series representation of the function. The matrix involved was the product of $ (C, 1) $, the Cesaro matrix of order one, with $ (E, 1) $, the Euler matrix of order one. In this paper we extend this result to a much wider class of Hausdorff matrices.

Author Biography

B. E. Rhoades

Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, U.S.A.

Published

2003-09-30

How to Cite

Rhoades, B. E. (2003). On the degree of approximation of functions belonging to a Lipschitz class by Hausdorff means of its Fourier series. Tamkang Journal of Mathematics, 34(3), 245-247. https://doi.org/10.5556/j.tkjm.34.2003.316

Issue

Section

Papers