On cubic formulas related to the mixed Hermite splines

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...