International Journal of Engineering, Science and Mathematics
  • Year: 2017
  • Volume: 6
  • Issue: 3

Error estimation formula for modified beta operators

  • Author:
  • Manoj Kumar
  • Total Page Count: 9
  • Page Number: 97 to 105

Department of Mathematics and Statistics, Gurukula Kangri Vishwavidyalaya, Haridwar, Uttrakhand-249404, India

Mathematical Subject Classification: 41A25, 41A36

Abstract

In the recent years several researchers proposed and studied beta operators in approximation theory. In the present paper, we establish an error estimation formula for modified beta operators in linear simultaneous approximation. To prove our result, we have used the technique of linear approximating method, namely, Steklov mean.

Keywords

Simultaneous approximation, Linear combinations, Linear positive operators, Steklov mean, Integral modulus of smoothness