Abstract | ||
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In the present paper in L2(m)(0,1) space the optimal quadrature formulas with derivatives are constructed for approximate calculation of the Cauchy type singular integral. Explicit formulas for the optimal coefficients are obtained. Some numerical results are presented.
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Year | DOI | Venue |
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2018 | 10.1016/j.amc.2017.09.009 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Cauchy type singular integral, MSC65D32, Optimal coefficients, Optimal quadrature formulas, Sobolev space, The extremal function | Mathematical optimization,Singular integral,Mathematical analysis,Numerical integration,Cauchy distribution,Quadrature (mathematics),Mathematics | Journal |
Volume | ISSN | Citations |
317 | 0096-3003 | 0 |
PageRank | References | Authors |
0.34 | 2 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
D. M. Akhmedov | 1 | 1 | 0.82 |
Abdullo Rakhmonovich Hayotov | 2 | 9 | 4.58 |
Kholmat Mahkambaevich Shadimetov | 3 | 4 | 2.88 |