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

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.