Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space

Author:

Bozarov Bakhromjon,Daliyev Bakhtiyor,Tukxtasinov Dadakhon,Nasriddinov Otadavlat,Ruzimatova Makhfuza,Botirova Nasiba

Abstract

The development of effective methods of approximate calculation of integrals using optimal cubature formulas and optimal quadrature formulas with trigonometric weights for defined functions on a sphere, the creation of new algorithms for approximate calculation of trigonometric weighted integrals in different classes of functions, as well as the assessment of their errors, is the goal of this work.

Publisher

EDP Sciences

Reference24 articles.

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2. Bozarov B.I. Optimal quadrature formulas with the trigonometric weight in the Sobolev space // Bulletin of the Institute of Mathematics, V.I. Romanovskiy Institute of Mathematics. – Tashkent, 2020. no 4. pp. 1-10.

3. Optimal quadrature formulas with the trigonometric weight in the Sobolev space

4. Shadimetov X.M. Vesovыe optimalnie kubaturnыe formuli v periodicheskom prostranstve Soboleva // Sib. jurn. vichisl. matematiki. – Novosibirsk, RAN, Sib. otdelenie, 1999. - T. 2, № 2. - S. 185-196.

5. Shadimetov X.M. Optimalnie reshetchatie kvadraturnie i kubaturnie formuli v prostranstvax Soboleva. – Tashkent: Fan va texnologiya, 2019.

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