Title

On discrete gauss-weierstrass and picard operators

Abstract

Here we study basic approximation properties with rates of our discrete versions of Gauss-Weierstrass and Picard singular operators. We prove quantitatively pointwise and uniform convergence of these operators to the unit operator. Also these operators fulfill the global smoothness preservation property. The discussed operators act on continuous functions over the real line.

Publication Title

Panamerican Mathematical Journal

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