Some direct and inverse theorems in approximation of functions-Reference-Cited by-同舟云学术

Some direct and inverse theorems in approximation of functions

Published:1983-04 Issue:2 Volume:34 Page:143-154
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Mohapatra R. N.,Russell D. C.

Abstract

AbstractThe paper is concerned with the determination of the degree of convergence of a sequence of linear operators connected with the Fourier series of a function of class Lp (p > 1) to that function and some inverse results in relating the convergence to the classes of functions. In certain cases one can obtain the saturation results too. In all cases Lp norm is used.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference18 articles.

1. On the class of saturation in the theory of approximation, II

2. On the degree of approximation of a class of functions by Fourier Series;Holland;Acta. Sci. Math. (Szeged),1976

3. A Logarithmic Method of Summability

4. A convergence criterion for Fourier series

5. Über die Annäherung einer stetigen Funktion durch die Cesàroschen Mittel ihrer Fourierreihe

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