Approximation by modified ( p , q ) $(p,q)$ -gamma-type operators

Abstract

Abstract The main object of this paper is to construct a new class of modified ( p , q ) $(p,q)$ -Gamma-type operators. For this new class of operators, in section one, the general moments are find; in section two, the Korovkin-type theorem and some direct results are proved by considering the modulus of continuity and modulus of smoothness and their behavior in Lipschitz-type spaces. In section three, some results in the weighted spaces are given, and in the end, some shape-preserving properties are proven.

Keywords

• Modified ( p , q ) $(p,q)$ -Gamma-type operators
• Modulus of continuity
• Shape-preserving approximation