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

DOI:

https://doi.org/10.3126/kuset.v7i1.5416

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.

Subject Classification: 40G05, 42B05, 42B08

Keywords and phrases: Degree of approximation; (E,1)(N, pn) summability; Fourier series; Lip (α, p) class; Lp norm.

DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5416

KUSET 2011; 7(1): 1-8

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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), 1–8. https://doi.org/10.3126/kuset.v7i1.5416

Issue

Vol. 7 No. 1 (2011)

Section

Original Research Articles