The rate of decrease of constants in Jackson type inequalities in dependence of the order of modulus of continuity
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 25, Tome 383 (2010), pp. 33-52
Voir la notice de l'article provenant de la source Math-Net.Ru
Jackson type inequalities for moduli of continuity of arbitrary order are established with the use of linear approximation methods. The constants are smaller than known previously. The results are valid in different spaces of periodic and non periodic functions. Bibl. 19 titles.
@article{ZNSL_2010_383_a1,
author = {O. L. Vinogradov and V. V. Zhuk},
title = {The rate of decrease of constants in {Jackson} type inequalities in dependence of the order of modulus of continuity},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {33--52},
publisher = {mathdoc},
volume = {383},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_383_a1/}
}
TY - JOUR AU - O. L. Vinogradov AU - V. V. Zhuk TI - The rate of decrease of constants in Jackson type inequalities in dependence of the order of modulus of continuity JO - Zapiski Nauchnykh Seminarov POMI PY - 2010 SP - 33 EP - 52 VL - 383 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2010_383_a1/ LA - ru ID - ZNSL_2010_383_a1 ER -
%0 Journal Article %A O. L. Vinogradov %A V. V. Zhuk %T The rate of decrease of constants in Jackson type inequalities in dependence of the order of modulus of continuity %J Zapiski Nauchnykh Seminarov POMI %D 2010 %P 33-52 %V 383 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2010_383_a1/ %G ru %F ZNSL_2010_383_a1
O. L. Vinogradov; V. V. Zhuk. The rate of decrease of constants in Jackson type inequalities in dependence of the order of modulus of continuity. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 25, Tome 383 (2010), pp. 33-52. http://geodesic.mathdoc.fr/item/ZNSL_2010_383_a1/