UNIFORM APPROXIMATION IN STATISTICAL SENSE BY DOUBLE GAUSS-WEIERSTRASS SINGULAR INTEGRAL OPERATORS

George A. Anastassiou, Oktay Duman

Abstract


In this paper, we study the statistical approximation properties of a sequence of double smooth Gauss-Weierstrass singular integral operators which are not positive in general. We also show that our statistical approximation results are stronger than the classical uniform approximations.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)