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Ukrainian Mathematical Journal

, Volume 45, Issue 4, pp 629–632 | Cite as

On cubic formulas related to the mixed Hermite splines

  • Zh. E. Myrzanov
Brief Communications

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.

Keywords

Hermite Spline 
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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • Zh. E. Myrzanov
    • 1
  1. 1.University of NukusNukus

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