S. N. Vasil'ev, “Jackson inequality in <nobr>$L_2(\mathbb R^N)$</nobr> with generalized modulus of continuity”, Trudy Inst. Mat. i Mekh. UrO RAN, 2010, Volume 16, Number 4,Pages <nobr>93

This article is cited in 9 papers

Jackson inequality in $L_2(\mathbb R^N)$ with generalized modulus of continuity

S. N. Vasil'ev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: The sharp Jackson inequality is proved for the space of entire functions of many variables with mean-square norm for an arbitrary modulus of continuity generated by a difference operator with constant coefficients.

Keywords: Jackson inequality, generalized modulus of continuity, multidimensional approximation.

UDC: 517.1

Received: 15.09.2010