Article

Optimal quadrature formulas with derivative for Hadamard type singular integrals

D.M. Akhmedov)National University of Uzbekistan named after M. Ulugbek, University str. 4, Tashkent 100174, UzbekistanKholmat Shadimetov)Tashkent State Transport University, Odilkhodjaev str. 1, Tashkent 100167, Uzbekistan

AIP conference proceedingsjournal2021en

ABI

Abstract

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.

Topics

Electromagnetic Scattering and Analysis Mathematical functions and polynomials Iterative Methods for Nonlinear Equations

Identifiers

DOI: 10.1063/5.0057124

Citations and references

Cited by 15 21 references

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