Abstract

In this work, the problem of the approximation by certain poly- nomials is addressed. A new type operators sequence including generalized Appell polynomials are defi ned, qualitative and quantitative approximation theorems are proved. Some explicit examples of our operators involving Hermite polynomials of v variance, Gould-Hopper polynomials and Miller-Lee polynomials are given. Also, we present some numerical examples to con firm our theoretical results.

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