Absolute Summability Factor |N, pn|k of Improper Integrals

Abstract

Abstract-In this paper, we defined the summability for integrals and established a theorem on absolute Nörlund summability |N, p n | k factors of improper integral under sufficient conditions. Some auxiliary results (well-known) have also been deduced from the main results under suitable conditions.

Approximation of a Function Belonging to Lip (ɑ, θ, w) by (C, 1) (E, q)

“…Recently, Sonker and Munjal [18][19][20][21][22][23][24][25] gave a number of theorems exploring summability of the Orthogonal, Fourier series and infinite series. In the present result, summability method has been used for sharper estimations.…”