Approximation by Szász‐Chlodowsky type operators associating 2D‐Appell polynomials

Abstract

AbstractIn this article, a Chlodowsky type generalization of Szász operators is considered in terms of the 2D Appell polynomials. Convergence properties of these operators are verified with the help of the universal Korovkin‐type property and the order of approximation is calculated by using classical modulus of continuity. Furthermore, weighted ‐statistical convergence and statistical weighted ‐ summability properties of the operators are obtained. Voronovskaja type results are established. The convergence of these operators are also discussed in weighted spaces of functions on the positive semi‐axis and estimate the approximation with the help of weighted modulus of continuity. Moreover, some numerical and graphical examples are also given to justify the results. Lastly, error bounds are calculated associated with the different choice of sequence .