D. V. Gorbachev, V. I. Ivanov, R. A. Veprintsev, “Optimal argument in the sharp Jackson inequality in the space <nobr>$L_2$</nobr> with hyperbolic weight”, Mat. Zametki, 2014, Volume 96, Issue 5,Pages <nobr>904

This article is cited in 9 papers

Papers published in the English version of the journal

Optimal argument in the sharp Jackson inequality in the space $L_2$ with hyperbolic weight

D. V. Gorbachev, V. I. Ivanov, R. A. Veprintsev

Tula State University, Tula, Russia

Abstract: In the space $L_2$ on the real axis with hyperbolic weight, the sharp Jackson inequality with optimal argument is proved.

Keywords: $L_2$-space, hyperbolic weight, best approximation, modulus of continuity, Jackson's inequality, entire function of exponential type, Gaussian quadrature formula.

Language: English