On modified approximation properties by q- analogue summation – integral type operators

Abstract

The purpose of this paper is to introduce a summation-integral q-Beta-Szàsz operators denoted by ( ( . We use the method of Korovik-type statistical approximation to prove our operators is approximate . then, we establish a Voronovkaja-type asymptotic formula for the q-operators. Finely,we obtain an error estimate in terms of modulus of continuity being approximated.