Geodesic
Quadrature interpolation type formulas for hypersingular integrals in the interval of integration
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 19 (2016) no. 4, pp. 419-428.

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A hypersingular integral on the interval of integration with the weight function is considered. We prove the spectral ratios for hypersingular integrals on $[-1,1]$. The quadrature formulas for certain integrals with the weight function are constructed. The estimation error is presented. 
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L. Yu. Plieva. Quadrature interpolation type formulas for hypersingular integrals in the interval of integration. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 19 (2016) no. 4, pp. 419-428. http://geodesic.mathdoc.fr/item/SJVM_2016_19_4_a5/

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