Approximation with rates by generalized discrete singular operators


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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