Degree of convergence of the functions of trigonometric series in Sobolev spaces and its applications

Abstract In this paper, we study the degree of convergence of the functions of Fourier series and conjugate Fourier series in Sobolev spaces using Riesz means. We also study some applications of our main results and observe that our results are much better than earlier results.

Bibliographic Details
Main Authors: H. K. Nigam, Saroj Yadav
Format: Article
Language:English
Published: SpringerOpen 2022-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-022-02794-0
Description
Summary:Abstract In this paper, we study the degree of convergence of the functions of Fourier series and conjugate Fourier series in Sobolev spaces using Riesz means. We also study some applications of our main results and observe that our results are much better than earlier results.
ISSN:1029-242X