Szász-Beta operators linking general-Appell Polynomials

This manuscript associates with a study of general-Appell Polynomials. In this research work, we construct a new sequence of Szász-Beta type operators via general-Appell Polynomials to discuss approximation properties for the Lebesgue integrable functions i.e. L_1 [10, ∞). Further, estimates in view of test functions and central moments are studied. Next, rate of convergence is discussed with the aid of Korovkin theorem and Voronovskaja type theorem. Moreover, direct approximation results in terms of modulus of continuity of first and second order, Peetre’s K-functional, Lipschitz type space, and the rᵗʰ order Lipschitz type maximal functions are investigated. In subsequent section, we present weighted approximation results and statistical approximation theorems are discussed.