Rate of convergence of Szász-beta operators based on q-integers

Abstract

The purpose of this paper is to establish the rate of convergence in terms of the weighted modulus of continuity and Lipschitz type maximal function for the q-Szász-beta operators. We also study the rate of A-statistical convergence. Lastly, we modify these operators using King type approach to obtain better approximation.

Keywords

• Weighted modulus of continuity
• Lipschitz type maximal function
• A-statistical convergence
• 41A25
• 26A15
• 41A36