Approximation of functions belonging to LIP (&alpha;, p) class by (E, 1)(N,p<sub>n</sub>) means of its fourier series

Authors

  • Binod Prasad Dhakal Butwal Multiple Campus, Tribhuvan University

Keywords:

Degree of approximation, (E, 1)(N, pn) summability, Fourier series, Lip (?, p) class, Lp norm.

Abstract

The present paper deals with approximation of a function belonging to the Lip (α, p) class by product summability method. Here product of Euler (E,1) summability method and Nörlund (N, pn) method has been taken. A new estimate on degree of approximation of a function f belonging to Lip (α, p) class has been determined by (E,1) (N, pn) summability of a Fourier series.

Published

2011-01-28

How to Cite

Dhakal, B. P. (2011). Approximation of functions belonging to LIP (&alpha;, p) class by (E, 1)(N,p<sub>n</sub>) means of its fourier series. Kathmandu University Journal of Science Engineering and Technology, 7(1). Retrieved from https://journals.ku.edu.np/kuset/article/view/297

Issue

Vol. 7 No. 1 (2011): Kathmandu University for Science, Engineering and Technology (KUSET)

Section

Original Research Articles
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