DEGREE OF APPROXIMATION OF SIGNALS BELONGING TO WEIGHTED LIPSCHITZ CLASS BY ZWEIER-EULER PRODUCT MEANS OF ITS FOURIER SERIES

Authors

  • Radhamadhab Dash Centurian University of Technology and Management, Odisha, INDIA
  • Banitamani Mallik Centurian University of Technology and Management, Odisha, INDIA
  • B. P. Padhy Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Bhubaneswar, Odisha, INDIA
  • U. K. Misra Mathematics Department, NIST (Autonomous), Berhampur - 761008, Odisha, INDIA

DOI:

https://doi.org/10.56827/SEAJMMS.2023.1902.23

Keywords:

Degree of approximation, Weighted Lipschitz class, Fourier series, Lebesgue integral.

Abstract

Many researchers have looked into various linear summation techniques
for approximating periodic functions. In the current paper, an attempt is made
to obtain the degree of approximation of signals belonging to weighted (Lμ, φ(v))
class by Zweier-Euler product of its Fourier series.

Published

2023-08-30