V. T. Shevaldin, O. Ya. Shevaldina, “Upper bounds for uniform Lebesgue constants of interpolational periodic sourcewise representable splines”, Trudy Inst. Mat. i Mekh. UrO RAN, 2015, Volume 21, Number 4,Pages <nobr>309

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Upper bounds for uniform Lebesgue constants of interpolational periodic sourcewise representable splines

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

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
^b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg

Abstract: Upper bounds for Lebesgue constants (norms of linear operators from $C$ to $C$) of interpolational periodic sourcewise representable splines with uniform knots are obtained for a wide class of periodic integrable kernels $K$.

Keywords: Lebesgue constants, sourcewise representable splines, uniform knots.

UDC: 517.5

Received: 09.02.2015