On the existence of optimal quadrature formulae for smooth functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1979 English Publisher:Springer Science and Business Media LLCJournal:Calcolo, volume 16, pages 61-70 (issn: 0008-0624, eissn: 1126-5434,

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Authors: Bojanov, B. D.;

doi: 10.1007/bf02575761

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.

Related Organizations

Sofia University
Bulgaria

Keywords

preassigned multiplicities of the nodes, Numerical integration, optimal quadrature, Hardy space, smooth function, Numerical quadrature and cubature formulas, Approximate quadratures

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