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Estimates of Moments of Deviations of the Riesz Averages and Applications to Jackson Type Inequalities. / Vinogradov, O.L.

в: Journal of Mathematical Sciences, № 2, 2014, стр. 170-183.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Vinogradov, OL 2014, 'Estimates of Moments of Deviations of the Riesz Averages and Applications to Jackson Type Inequalities', Journal of Mathematical Sciences, № 2, стр. 170-183. https://doi.org/10.1007/s10958-014-2040-7

APA

Vinogradov, O. L. (2014). Estimates of Moments of Deviations of the Riesz Averages and Applications to Jackson Type Inequalities. Journal of Mathematical Sciences, (2), 170-183. https://doi.org/10.1007/s10958-014-2040-7

Vancouver

Vinogradov OL. Estimates of Moments of Deviations of the Riesz Averages and Applications to Jackson Type Inequalities. Journal of Mathematical Sciences. 2014;(2):170-183. https://doi.org/10.1007/s10958-014-2040-7

Author

Vinogradov, O.L. / Estimates of Moments of Deviations of the Riesz Averages and Applications to Jackson Type Inequalities. в: Journal of Mathematical Sciences. 2014 ; № 2. стр. 170-183.

BibTeX

@article{11316898cd194f37b6b56965028df02b,
title = "Estimates of Moments of Deviations of the Riesz Averages and Applications to Jackson Type Inequalities",
abstract = "{\textcopyright} 2014, Springer Science+Business Media New York. We obtain explicit estimates for moments of deviations of the Riesz averages. The estimates are asymptotically sharp with respect to the order of the Riesz averages and the derivative order. Based on these estimates and a general result obtained earlier by Vinogradov and Zhuk, we estimate deviations of the Riesz averages by high order moduli of continuity with the smallest constants among known ones. Bibliography: 7 titles.",
author = "O.L. Vinogradov",
year = "2014",
doi = "10.1007/s10958-014-2040-7",
language = "English",
pages = "170--183",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Estimates of Moments of Deviations of the Riesz Averages and Applications to Jackson Type Inequalities

AU - Vinogradov, O.L.

PY - 2014

Y1 - 2014

N2 - © 2014, Springer Science+Business Media New York. We obtain explicit estimates for moments of deviations of the Riesz averages. The estimates are asymptotically sharp with respect to the order of the Riesz averages and the derivative order. Based on these estimates and a general result obtained earlier by Vinogradov and Zhuk, we estimate deviations of the Riesz averages by high order moduli of continuity with the smallest constants among known ones. Bibliography: 7 titles.

AB - © 2014, Springer Science+Business Media New York. We obtain explicit estimates for moments of deviations of the Riesz averages. The estimates are asymptotically sharp with respect to the order of the Riesz averages and the derivative order. Based on these estimates and a general result obtained earlier by Vinogradov and Zhuk, we estimate deviations of the Riesz averages by high order moduli of continuity with the smallest constants among known ones. Bibliography: 7 titles.

U2 - 10.1007/s10958-014-2040-7

DO - 10.1007/s10958-014-2040-7

M3 - Article

SP - 170

EP - 183

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 7062831