Durrmeyer Type Lototsky-Chlodowsky Operators

Abstract

In this paper, we present a introduction to Durrmeyer type Lototsky-Chlodowsky operators. We explore their approximation properties within a weighted function space. Subsequently, we derive the rates of convergence utilizing the second modulus of continuity. Moreover, we investigate the convergence rates in the L1 space. In addition, we establish Voronovskaja-type theorem for the considered Durrmeyer type Lototsky-Chlodowsky operators, thereby contributing significant insights into their asymptotic behaviour.