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Journal of Automation and Information Sciences

Publication de 12  numéros par an

ISSN Imprimer: 1064-2315

ISSN En ligne: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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On the Choice of Optimal Coefficients and Optimal Nodes of the Quadrature Formulae for Functional Classes Given by Quasimetrics

Volume 34, Numéro 6, 2002, 11 pages
DOI: 10.1615/JAutomatInfScien.v34.i6.80
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RÉSUMÉ

The numerical method of searching the optimal nodes and the optimal coefficients of quadrature formulae is proposed for solving the construction problem of optimal quadrature formulae for different functional classes given by quasimetrics. The method is based on the following idea. The construction problem of the optimal quadratures is reduced to optimal partitioning a set into subsets to find the coordinates of these subsets centers, these coordinates coinciding with coordinates of optimal nodes of quadrature formulae. The optimal coefficient values are calculated as a Lebesgue-measures of subsets that the original set is partitioned into.

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