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Strengthening of Kolmogorov Type Inequalities for Derivatives and Differences. / Vinogradov, O. L.

в: Journal of Mathematical Sciences (United States), Том 242, № 1, 07.10.2019, стр. 119-132.

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

Harvard

Vinogradov, OL 2019, 'Strengthening of Kolmogorov Type Inequalities for Derivatives and Differences', Journal of Mathematical Sciences (United States), Том. 242, № 1, стр. 119-132. https://doi.org/10.1007/s10958-019-04469-6

APA

Vinogradov, O. L. (2019). Strengthening of Kolmogorov Type Inequalities for Derivatives and Differences. Journal of Mathematical Sciences (United States), 242(1), 119-132. https://doi.org/10.1007/s10958-019-04469-6

Vancouver

Vinogradov OL. Strengthening of Kolmogorov Type Inequalities for Derivatives and Differences. Journal of Mathematical Sciences (United States). 2019 Окт. 7;242(1):119-132. https://doi.org/10.1007/s10958-019-04469-6

Author

Vinogradov, O. L. / Strengthening of Kolmogorov Type Inequalities for Derivatives and Differences. в: Journal of Mathematical Sciences (United States). 2019 ; Том 242, № 1. стр. 119-132.

BibTeX

@article{c4f994dd719d43c494661e795636a52f,
title = "Strengthening of Kolmogorov Type Inequalities for Derivatives and Differences",
abstract = "We propose a new method for constructing extremal operators in the problem for obtaining the best approximation of the differentiation operator by bounded operators. Using the new form of extremal operators and their deviations, we strengthen the Kolmogorov inequality by expanding the right-hand side with respect to differences of a function and its higher order derivative with preservation of sharpness.",
author = "Vinogradov, {O. L.}",
year = "2019",
month = oct,
day = "7",
doi = "10.1007/s10958-019-04469-6",
language = "English",
volume = "242",
pages = "119--132",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Strengthening of Kolmogorov Type Inequalities for Derivatives and Differences

AU - Vinogradov, O. L.

PY - 2019/10/7

Y1 - 2019/10/7

N2 - We propose a new method for constructing extremal operators in the problem for obtaining the best approximation of the differentiation operator by bounded operators. Using the new form of extremal operators and their deviations, we strengthen the Kolmogorov inequality by expanding the right-hand side with respect to differences of a function and its higher order derivative with preservation of sharpness.

AB - We propose a new method for constructing extremal operators in the problem for obtaining the best approximation of the differentiation operator by bounded operators. Using the new form of extremal operators and their deviations, we strengthen the Kolmogorov inequality by expanding the right-hand side with respect to differences of a function and its higher order derivative with preservation of sharpness.

UR - http://www.scopus.com/inward/record.url?scp=85070965941&partnerID=8YFLogxK

U2 - 10.1007/s10958-019-04469-6

DO - 10.1007/s10958-019-04469-6

M3 - Article

AN - SCOPUS:85070965941

VL - 242

SP - 119

EP - 132

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 53406170