Durrmeyer Form of the Operators Including $\Delta _{\phi}$- Appell polynomials

Abstract

The present paper aims at demonstrating the Durrmeyer type modification of the operators including degenerate Appell polynomials and obtain the rate of approximation through the usual modulus of continuity and Lipschitz class functions. Moreover, we consider the convergence degree for a Peetre's $\mathcal{K}$-functional and give the Voronovskaja-type theorem.