This article is cited in 3 papers

Semilocal smoothihg splines of seventh degree

D. A. Silaev^a, J. G. Ingtem<sup>b

a</sup> M. V. Lomonosov Moscow State University
^b M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: Semilocal smoothing splines or $S$-splines were initiated by D. A. Silaev. Earlier there were considers and applied the splines of third and fifth degree. This work is devoted to seventh degree splines construction. Uniqueness and existence theorems are proved. Stability and convergence conditions for these splines are established.

Keywords: an approximation, a spline, numerical methods.

UDC: 519.6, 517.9

Received: 24.05.2010