In this paper, we establish a link between the Szász-Durrmeyer type operators and multiple Appell polynomials. We study a quantitative-Voronovskaya type theorem in terms of weighted modulus of smoothness using sixth order central moment and Grüss-Voronovskaya type theorem. We also establish a local approximation theorem by means of the Steklov means in terms of the first and the second order mo...

Recently, a mixed hybrid operator, generalizing the well-known Phillips operators and Baskakov-Szász type operators, was introduced. In this paper, we study Bézier variant of these new operators. We investigate the degree of approximation of these operators by means of the Lipschitz class function, the modulus of continuity, and a weighted space. We study a direct approximation theorem by means...

Abstract In this article, we establish the approximation by Durrmeyer type Jakimovski–Leviatan operators involving Brenke polynomials. The positive linear are constructed for polynomials, and thus properties these polynomials obtained. order of convergence weighted also considered. Finally, Voronovskaya theorem is demonstrated some particular case

In the present article, we construct a new sequence of bivariate Sz?sz-Durrmeyer operators based on Dunkl analogue. We investigate order approximation with aid modulus continuity in terms well known Peetre?s K-functional, weighted results, Voronovskaja type theorems and Lipschitz maximal functions. Further, also discuss here properties B?gel-spaces by use mixed-modulus continuity.