A study of convergence problem in functional norm

Abstract

In this paper, we delve into the convergence challenges concerning with the
functions ˜g and ˜ g′ representing as conjugate Fourier series and conjugate derived Fourier series respectively within generalized H¨older norm. Our approach involves utilizing the generalized N¨orlund-Matrix (Np,qA) means of the function ˜g of conjugate Fourier series and the function ˜ g′ of conjugate derived Fourier series in order to examine the convergence phenomenon of these functions. Furthermore, we conduct a comparative analysis of the
convergence outcomes through applications.