Szasz-Baskakov-Stancu Operators Based on Boas-Buck-Type Polynomials

Abstract

In this article, Stancu type generalization of the Szasz-Baskakov operators including Boas-Buck type polynomials is given. The convergence properties are investigated in weighted space and the rate of convergence is found with the help of the weighted modulus of continuity. Theoretical results are shown with the help of Appell polynomials, Hermite polynomials and Gould-Hopper polynomials,
respectively. Finally, we present some numerical examples to validate our theoretical results and compare the approximation errors of the newly constructed operators with the approximation errors of the Szasz-Baskakov operators based on Boas-Buck-type polynomials.