Affiliation:
1. Department of Mathematics , National Institute of Technology Uttarakhand , Srinagar , Pauri Garhwal , India
Abstract
Abstract
The proposed work aims to study the degree of convergence of a function
h
~
{\widetilde{h}}
, conjugate to a Lebesgue integrable
2
π
{2\pi}
-periodic function h, in the Zygmund class
Z
r
(
ν
)
{Z^{(\nu)}_{r}}
,
r
≥
1
{r\geq 1}
, by almost Nörlund transform. Our results give sharper estimates than the previous existing results.
Subject
Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics