Approximation of functions belonging to LIP (α, p) class by (E, 1)(N,pn) 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.

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 (α, p) class by (E, 1)(N,pn) 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

License

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How to Cite

Dhakal, B. P. (2011). Approximation of functions belonging to LIP (α, p) class by (E, 1)(N,pn) 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