Geodesic
Approximate evaluation of Cauchy type repeated integrals and their principal values
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 232-238

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Approximate formulas are constructed for the integrals (0.1), (0.2). uniform estimates are given for the error of the approximate formulas. 
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     author = {I. N. Meleshko},
     title = {Approximate evaluation of {Cauchy} type repeated integrals and their principal values},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a22/}
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I. N. Meleshko. Approximate evaluation of Cauchy type repeated integrals and their principal values. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 232-238. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a22/