"Approximation with rates by generalized discrete singular operators" by George A. Anastassiou and Merve Kester
 

Approximation with rates by generalized discrete singular operators

Abstract

Here we give 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 the operators above. We derive quantitatively L p convergence of these operators to the unit operator by involving the L p higher modulus of smoothness of an L p(R) function.

Publication Title

Communications in Applied Analysis

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