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On the existence of optimal quadrature formulae for smooth functions

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Abstract

A general method showing the existence of optimal quadrature formulae with preassigned multiplicities of the nodes for classes of smooth functions is demonstrated. The main result is applied to the Hardy spaceH ∞ of analytic functions.

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  1. Department of Mathematics, University of Sofia, «A. Ivanov» 5, Sofia, Bulgaria

    B. D. Bojanov

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  1. B. D. Bojanov
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Bojanov, B.D. On the existence of optimal quadrature formulae for smooth functions. Calcolo 16, 61–70 (1979). https://doi.org/10.1007/BF02575761

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