V. T. Shevaldin, O. Ya. Shevaldina, “The Lebesgue constant of local cubic splines with equally-spaced knots”, Sib. Zh. Vychisl. Mat., 2017, Volume 20, Number 4,Pages <nobr>445

This article is cited in 3 papers

The Lebesgue constant of local cubic splines with equally-spaced knots

V. T. Shevaldin^ab, O. Ya. Shevaldina^b

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16 S. Kovalevskaja str., Ekaterinburg, 620990, Russia
^b Ural Federal University, 19 Mira str., Ekaterinburg, 620002, Russia

Abstract: It is proved that the uniform Lebesgue constant (the norm of a linear operator from $C$ to $C$) of local cubic splines with equally-spaced knots, which preserve cubic polynomials, is equal to $11/9$.

Key words: Lebesgue constants, local cubic splines, equally-spaced knots.

UDC: 519.65

Received: 20.03.2017
Revised: 25.05.2017

DOI: 10.15372/SJNM20170408