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Quadrature formulae and the Poincaré-Bertrand formula for singular integrals. (English. Russian original) Zbl 0473.65006

Sib. Math. J. 21, 787-796 (1981); translation from Sib. Mat. Zh. 21, No. 6, 46-60 (1980).

MSC:

65D32 Numerical quadrature and cubature formulas
41A55 Approximate quadratures
41A63 Multidimensional problems
30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane
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References:

[1] N. I. Muskhelishvili, Singular Integral Equations [in Russian], Nauka, Moscow (1968). · Zbl 0174.16202
[2] V. D. Kupradze, Boundary Problems in the Theory of Vibrations and Integral Equations [in Russian], Gostekhizdat, Moscow (1950).
[3] G. F. Gakhov, Boundary?Value Problems [in Russian], Nauka, Moscow (1977). · Zbl 0449.30030
[4] V. A. Kakichev, ?Boundary properties of an integral of the Cauchy type in several variables,? Uch. Zap. Shakhtinsk. Pedagog. Inst.,2, No. 6, 25-90 (1959).
[5] G. M. Fikhtengol’ts, Lectures on Differential and Integral Calculus [in Russian], Vol. 2, Fizmatgiz, Moscow (1959).
[6] G. H. Hardy, Divergent Series, Clarendon Press, Oxford (1949). · Zbl 0032.05801
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