On cubic formulas related to the mixed Hermite splines

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...

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Bibliographic Details
Date:1993
Main Authors: Myrzanov, Zh. E., Мырзанов, Ж. Е.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1993
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5845
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal