On Some Extensions of Szasz Operators Including Boas-Buck-Type Polynomials

الملخص EN

This paper is concerned with a new sequence of linear positive operators which generalize Szasz operators including Boas-Buck-type polynomials.

We establish a convergence theorem for these operators and give the quantitative estimation of the approximation process by using a classical approach and the second modulus of continuity.

Some explicit examples of our operators involving Laguerre polynomials, Charlier polynomials, and Gould-Hopper polynomials are given.

Moreover, a Voronovskaya-type result is obtained for the operators containing Gould-Hopper polynomials.