Optimal quadrature formulas for oscillatory integrals in the Sobolev space

DOI10.1186/s13660-022-02839-4zbMath1509.42028WikidataQ113753448 ScholiaQ113753448MaRDI QIDQ6038889

Bakhromjon Bozarov, Kholmat Mahkambaevich Shadimetov, Abdullo Rakhmonovich Hayotov

Publication date: 3 May 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

Sobolev spaceFourier coefficientserror functionaloptimal coefficientsoptimal quadrature formulasthe weighted function

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Approximate quadratures (41A55)

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