Indian Journal of Industrial and Applied Mathematics
  • Year: 2012
  • Volume: 3
  • Issue: 2

Approximation Properties of the q-Szász- Mirakyan-Beta Operators

  • Author:
  • Vijay Gupta1,, Nazim Mahmudov2,
  • Total Page Count: 13
  • Published Online: Dec 1, 2012
  • Page Number: 41 to 53

1School of Applied Sciences, Netaji Subhas Institute of Technology, Sector 3, Dwarka, New Delhi–110078India

2Department of Mathematics, Eastern Mediterranean University, Gazimagusa, TRNC, via Mersin 10, Turkey

* E-mail: vijaygupta2001@hotmail.com

**E-mail: nazim.mahmudov@emu.edu.tr

Abstract

In the present paper we propose the q variant of certain Szász-Mirakyan-Beta operators [8]. We apply q-derivatives, and q-Beta functions to obtain the moments of the q-Szász-Mirakyan-Beta operators. We also estimate the approximation properties of these operators and establish some convergence results.

Keywords

q-Szász-Mirakyan operators, q-binomial coefficients, q-derivatives, q-integers, q-Beta functions, Rate of convergence, q-integral, 41A25, 41A36