A generalized Dunkl type modifications of Phillips operators

J Inequal Appl. 2018;2018(1):323. doi: 10.1186/s13660-018-1909-2. Epub 2018 Nov 22.

Abstract

The main purpose of this present article is to discuss the convergence of Lebesgue measurable functions by providing a Dunkl generalization of Szász type operators known as Phillips operators. To achieve the results of a better way of uniform convergence of the Phillips operators, we study qualitative results in a Korovkin and weighted Korovkin space.

Keywords: Dunkl analogue; Generalization of exponential function; Generating functions; Korovkin type theorem; Modulus of continuity; Order of convergence; Szász operator.