Indian Journal of Industrial and Applied Mathematics
  • Year: 2019
  • Volume: 10
  • Issue: 1SI

On Approximation of Signals in the Generalized Zygmund Class Using (E, 1)(N̅, pn)-summability Means of Fourier Series

  • Author:
  • Tejaswini Pradhan1,, Susanta Kumar Paikray2,, Umakanta Misra3,
  • Total Page Count: 13
  • Published Online: Jun 1, 2019
  • Page Number: 152 to 164

1Department of Mathematics, Veer Surendra Sai University of Technology, Burla, Odisha-768018, India

2Department of Mathematics, Veer Surendra Sai University of Technology, Burla, Odisha-768018, India

3Department of Mathematics, National Institute of Science and Technology, Palur Hills, Golanthara, Odisha-761008, India

(*Corresponding author) Email: *skpaikray_math@vssut.ac.in

**tejaswini.bini@gmail.com

***umakanta_misra@yahoo.com

Abstract

In this paper, we investigate the degree of approximation of a function in the generalized Zygmund class (r ≥ 1) by (E, 1)(N̅, pn)-summability means of trigonometric Fourier series.

Keywords

Degree of approximation, generalized Zygmund class, trigonometric Fourier series, (E, 1)-summability means, (N̅, pn)-summability means, (E, 1)(N̅, pn)-summability means, 41A24, 41A25, 42B05, 42B08