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Convergence of iterated boolean sums of simultaneous approximants

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Abstract

Explicit error estimates are given for the iterated Boolean sum of a sequence of simultaneous approximants; the rate of convergence is shown to be improved for smooth functions. The general results are applied in the case of the Bernstein, Durrmeyer and Stancu operators.

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Sevy, J.C. Convergence of iterated boolean sums of simultaneous approximants. Calcolo 30, 41–68 (1993). https://doi.org/10.1007/BF02576526

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  • DOI: https://doi.org/10.1007/BF02576526

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