International Journal of Engineering, Science and Mathematics
  • Year: 2017
  • Volume: 6
  • Issue: 6

Approximation of conjugate Fourier series of a function belonging to Lip(α) class using(N, Pn, qn)(E, s)-summability method

  • Author:
  • L. Jena1, S. K. Paikray2, M. Dash3
  • Total Page Count: 8
  • Page Number: 18 to 25

1Research Scholar, Department of Mathematics, Ravenshaw University, Cuttack-753003, India

2Department of Mathematics, VSS University of Technology, Burla-768018, India

3Department of Mathematics, Ravenshaw University, Cuttack-753003, India

AMS Subject classification (2010): Primary 42A24; Secondary 41A25, 42B025, 42B08, 40C05

Abstract

Degree of approximation of functions of different classes has been studied by several researchers by using different summability methods. In the proposed paper a new theorem has been established for the approximation of a function belonging to the Lip(α) class by(N, Pn, qn)(E, s)-product summability means of a conjugate series of Fourier series. The result obtained here is a generalization of several known theorems.

Keywords

Degree of approximation, conjugate Fourier series, Lip(α) class, (NPnqn)(Es)-mean, Lebesgue integral