American Journal of Mathematical Analysis
ISSN (Print): 2333-8490 ISSN (Online): 2333-8431 Website: http://www.sciepub.com/journal/ajma Editor-in-chief: Grigori Rozenblum
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American Journal of Mathematical Analysis. 2020, 8(1), 9-13
DOI: 10.12691/ajma-8-1-2
Open AccessArticle

Analysis on Uniform [N, p, q] Summability of Fourier Series and Its Conjugate Series

Suresh Kumar Sahani1, 2,

1MIT Campus, Janakpurdham, Nepal

2Rajarshi Janak Campus, Janakpurdham, Nepal

Pub. Date: June 15, 2020

Cite this paper:
Suresh Kumar Sahani. Analysis on Uniform [N, p, q] Summability of Fourier Series and Its Conjugate Series. American Journal of Mathematical Analysis. 2020; 8(1):9-13. doi: 10.12691/ajma-8-1-2

Abstract

This paper briefly discusses the uniform (N, p, q) summability of Fourier series and its conjugate series. We prove that if and be positive (i.e. monotric function of t) and and is monotonic sequence of constant with their non-vanishing partial sums and tending to infinity as m, n if = 0 as n 0 as n Where 0 and as t uniformly in a domain E in which f(x) is bounded then the Fourier series (1.4) is summable (N, p, q) uniformly in E to the sum f(x). Also, If (2.4) uniformly in E then (1.5) is summable (N, p,q) uniformly in the domain E to the sum (2.5) whenever the integral exist uniformly in E.

Keywords:
Summability of Fourier Series Conjugate of Fourier Series etc.

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