"Optimal quadrature formulas for approximate solution of the rst kind singular integral equation with Cauchy kernel"
"V.I. Romanovskiy Institute of Mathematics Uzbekistan Academy of SciencesD.M. AkhmedovV.I. Romanovskiy Institute of Mathematics Uzbekistan Academy of SciencesKholmat Shadimetov
ABI
Аннотация
"In the present paper in $L_2^{(m)}(-1,1)$ space the optimal quadrature formulas with derivatives are constructed for approximate solution of a singular integral equation of the first kind with Cauchy kernel. Approximate solution of the singular integral equation is obtained applying the optimal quadrature formulas. Explicit forms of coefficients for the of optimal quadrature formulas are obtained. Some numerical results are presented."
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