Approximation of Jakimovski-Leviatan-Beta type integral operators via q-calculus

Abstract

We construct Jakimovski-Leviatan-Beta type q-integral operators and show that these positive linear operators are uniformly convergent to a continuous functions. We obtain the Korovkin type results, the rate of convergence as well as some direct theorems.

Keywords

• appell polynomials
• q-appell polynomials
• jakimovski-levitian operators
• jakimovski-leviatan-beta operators
• korovkin’s theorem
• modulus of continuity