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On cubic formulas related to the mixed Hermite splines

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Abstract

A cubic formula containing partial integrals is considered on a class of functions of two variables. It is shown that the integral of a mixed Hermite spline gives the best cubic formula for the given class. The coincidence of cubic formulas, which are exact for odd and even mixed Hermite splines, is established.

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Authors and Affiliations

  1. University of Nukus, Nukus

    Zh. E. Myrzanov

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  1. Zh. E. Myrzanov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol.45, No. 4, pp. 579–581, April, 1993.

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Myrzanov, Z.E. On cubic formulas related to the mixed Hermite splines. Ukr Math J 45, 629–632 (1993). https://doi.org/10.1007/BF01062957

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  • DOI: https://doi.org/10.1007/BF01062957

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