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An optimal quadrature formula in K2(P3) space

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2021Publisher:AIP PublishingJournal:AIP Conference Proceedings, volume 2,365, page 20,024 (issn: 0094-243X, Copyright policy )
Authors: Siroj Azamov;

doi: 10.1063/5.0057078

An optimal quadrature formula in K2(P3) space

Abstract

In this paper in K2(P3) Hilbert space the problem of construction of optimal quadrature formula in the sense of Sard is considered and using S.L. Sobolev’s method a new optimal quadrature formula is obtained. For the optimal coefficients explicit formulas are given. The constructed optimal quadrature formula is exact for the functions e−12xsin32x, e−12xcos32x and 1.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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