MATHEMATICS

On assignment of additional conditions in the method of construction of a spline preserving the integral of a function over its domain

O. P. Fedorova, O. V. Kulish

Tomsk State University, Faculty of Mechanics and Mathematics

Abstract: In the present work are being studied ways of assignment of additional conditions, which are necessary for finding the coefficients of the spline, approximating the function of one variable in such a way that integrals over the region of definition of the spline and the function are equal.

Keywords: spline approximation, approximation of a function of one variable, approximation error estimation.

UDC: 519.6


Accepted: February 8, 2010