2017
Том 69
№ 9

All Issues

On cubic formulas related to the mixed Hermite splines

Myrzanov Zh. E.

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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.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 4, pp 629-632.

Citation Example: Myrzanov Zh. E. On cubic formulas related to the mixed Hermite splines // Ukr. Mat. Zh. - 1993. - 45, № 4. - pp. 579–581.

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