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Literature cited
S. M. Nikol'skii, Quadrature Formulas [in Bussian], Nauka, Moscow (1974).
K. Ritter, “Two-dimensional splines and their extremal properties,” Z. Angew. Math. Mech.,49, No. 10, 597–609 (1969).
Z. Wronicz, “On the approximation and interpolation by multiple splines,” Zestyty Nauk, Univ. Jagiellon 403. Prace Math., No. 17, 147–157 (1975).
V. L. Velikin, “Exact values of approximation by Hermitian splines on classes of differentiable functions,” Izv. Akad. Nauk SSSR, Ser. Mat.,37, No. 1, 165–185 (1973).
V. I. Krylov, Approximate Computation of Integrals [in Russian], Nauka, Moscow (1967).
V. L. Vellkin, “Hermitian splines and quadrature formulas, connected with them, for certain classes of differentiate functions,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 5, 15–28 (1976).
M. Levin and Yu. Girshovich, “Best cubature formulas on sets of periodic functions,” Izv. Akad, Nauk Est. SSR,26, No. 2, 115–122 (1977).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 31, No. 1, pp. 74–82, January–February, 1979.
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Shabozov, M. Estimation of the error of cubature formulas, exact for splines, on certain classes of functions of two variables. Ukr Math J 31, 57–64 (1979). https://doi.org/10.1007/BF01086442
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DOI: https://doi.org/10.1007/BF01086442