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

Abstract

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.

Keywords

• Degree of convergence
• Modulus of smoothness
• Sobolev spaces
• Riesz means
• Fourier series
• Derived Fourier series