Geodesic
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 
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/
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     title = {The rate of decrease of constants in {Jackson} type inequalities in dependence of the order of modulus of continuity},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_383_a1/}
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Voir la notice du chapitre de livre 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.

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