In the present research article, we construct a new family of summation-integral type hybrid operators in terms shape parameter ? [0, 1]. Further, basic estimates, rate convergence and order approximation with aid Korovkin theorem modulus smoothness are investigated. Moreover, numerical simulation graphical approximations studied. For these sequences positive linear operators, study local resul...

In this paper, we are dealing with Cheney-Sharma Chlodovsky Durrmeyer operators and studying their approximation properties. The Bohman-Korovkin theorem is verified estimated the convergence properties using of modulus continuity, Lipschitz- type space, Ditzian-Totik continuity. After that, weighted result also given. Finally, some results related to A-statistical o...

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.

In this paper, we study the approximation of unbounded functions in a weighted space by modulus smoothness using various linear operators. We establish direct theorems for such approximations and analyze properties within same space. Specifically, investigate behavior under different types operators, including Bernstein-Durrmeyer operator, Fejer Jackson operator. also provide detailed analysis ...

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...