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Optimization of interval formulas for approximate integration of set-valued functions monotone with respect to inclusion

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Ukrainian Mathematical Journal Aims and scope

The best interval quadrature formula is obtained for the class of convex set-valued functions defined on the segment [0, 1] and monotone with respect to inclusion.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 11, pp. 1565–1569, November, 2011.

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Babenko, V.V. Optimization of interval formulas for approximate integration of set-valued functions monotone with respect to inclusion. Ukr Math J 63, 1781–1786 (2012). https://doi.org/10.1007/s11253-012-0613-5

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  • DOI: https://doi.org/10.1007/s11253-012-0613-5

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