On the Approximation of Szász-Jakimovski-Leviatan Beta Type Integral Operators Enhanced by Appell Polynomials

The purpose of this present article is to illustrate the approximation and related properties of Szász-Jakimovski-Leviatan type operators constructed using Beta functions. In this context, approximations are obtained by constructing a new class of Szász-Jakimovski-Leviatan Beta type operators, which are introduced through the Appell polynomials in Dunkl formulations. In the investigations, the approximation is studied in Korovkin’s and weighted Korovkin’s spaces involving local and global approximations. The rate of convergence is also obtained in terms of the weighted modulus of continuity, Lipschitz functions, Peetre’s K-functional, and some direct theorems. Consequently, in the final paragraph, approximations are studied through A-statistical convergence.