Optimal quadrature formulas with derivative for Hadamard type singular integrals

Optimal quadrature formulas with derivative for Hadamard type singular integrals

In the present paper in L2(m) (0,1) space the optimal quadrature formulas with derivatives are constructed for approximate calculation of the Hyper-singular integral. Explicit formulas for the optimal coefficients are obtained. Some numerical results are presented to show the validity and accuracy o...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Akhmedov, Dilshod, Shadimetov, Kholmat
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Integrals
Quadratures
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Beschreibung
Zusammenfassung:In the present paper in L2(m) (0,1) space the optimal quadrature formulas with derivatives are constructed for approximate calculation of the Hyper-singular integral. Explicit formulas for the optimal coefficients are obtained. Some numerical results are presented to show the validity and accuracy of the proposed method.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0057124