Degree of Uniform Approximation by Generalized Discrete Singular Operators

Abstract

Here we study the approximation properties with rates of generalized discrete versions of Picard, Gauss-Weierstrass, and Poisson-Cauchy singular operators. We treat both the unitary and non-unitary cases of these operators. We establish quantitatively the pointwise and uniform convergences of these operators to the unit operator by involving the uniform higher modulus of smoothness of a uniformly continuous function. It follows [3].

Publication Title

Series on Concrete and Applicable Mathematics

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