İsmet Yüksel

Voronovskaja type approximation theorem for q-Szász-beta operators

Abstract In this paper, we study on q -analoque of a certain family Szasz-beta type operators. We give a Voronovskaja type theorem.

Dunkl generalization of Szász beta-type operators

The goal in the paper is to advertise Dunkl extension of Szász beta type operators. We initiate approximation features via acknowledged Korovkin and weighted Korovkin theorem and obtain the convergence rate from the point of modulus of continuity, second order modulus of continuity, the Lipschitz class functions, Peetre’s K-functional and modulus of weighted continuity by Dunkl generalization of Szász beta type operators.

Approximation by q -Baskakov–Durrmeyer Type Operators of Two Variables

In this study, we investigate approximation properties of q-Baskakov–Durrmeyer type operators with two variables. We give a Voronovskaja type theorem for these operators. In addition, we obtain the rate of convergence for these operators.

Schurer Generalization of q -Hybrid Summation Integral Type Operators

In this study, using the q-generalization of the well-known hybrid summation integral type operators, we generalize these operators to Schurer type operators. We give weighted approximation and obtain rate of convergence of these operators.