APPROXIMATION BY OPERATORS INCLUDING GENERALIZED APPELL POLYNOMIALS

Sezgin Sucu

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 defined, 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 confirm our theoretical results.

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