S. N. Vasil'ev, “Widths of some functional classes in the space <nobr>$L_2$</nobr> on a period”, Trudy Inst. Mat. i Mekh. UrO RAN, 2013, Volume 19, Number 4,Pages <nobr>42

This article is cited in 2 papers

Widths of some functional classes in the space $L_2$ on a period

S. N. Vasil'ev^ab

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
^b Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg

Abstract: In a space of periodic functions with mean-square norm, we find the values of widths for some functional classes given by means of a modulus of continuity generated by an arbitrary difference operator and a weight function.

Keywords: Jackson inequality; generalized modulus of continuity; widths of functional classes.

UDC: 517.1

Received: 11.07.2013