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An Exact Inequality of Jackson-Chernykh Type for Spline Approximations of Periodic Functions. / Vinogradov, O. L.

In: Siberian Mathematical Journal, Vol. 60, No. 3, 01.05.2019, p. 412-428.

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Vinogradov, O. L. / An Exact Inequality of Jackson-Chernykh Type for Spline Approximations of Periodic Functions. In: Siberian Mathematical Journal. 2019 ; Vol. 60, No. 3. pp. 412-428.

BibTeX

@article{ba646ffb574f463fbdb2aed9d738ece1,
title = "An Exact Inequality of Jackson-Chernykh Type for Spline Approximations of Periodic Functions",
abstract = "We establish the inequality with exact constant for spline approximations of periodic functions which is similar to the Jackson-Chernykh inequality for approximations by trigonometric polynomials. We study the question of the least step in the obtained inequality.",
keywords = "exact constant, Jackson inequality, splines",
author = "Vinogradov, {O. L.}",
year = "2019",
month = may,
day = "1",
doi = "10.1134/S0037446619030066",
language = "English",
volume = "60",
pages = "412--428",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - An Exact Inequality of Jackson-Chernykh Type for Spline Approximations of Periodic Functions

AU - Vinogradov, O. L.

PY - 2019/5/1

Y1 - 2019/5/1

N2 - We establish the inequality with exact constant for spline approximations of periodic functions which is similar to the Jackson-Chernykh inequality for approximations by trigonometric polynomials. We study the question of the least step in the obtained inequality.

AB - We establish the inequality with exact constant for spline approximations of periodic functions which is similar to the Jackson-Chernykh inequality for approximations by trigonometric polynomials. We study the question of the least step in the obtained inequality.

KW - exact constant

KW - Jackson inequality

KW - splines

UR - http://www.scopus.com/inward/record.url?scp=85067303717&partnerID=8YFLogxK

U2 - 10.1134/S0037446619030066

DO - 10.1134/S0037446619030066

M3 - Article

AN - SCOPUS:85067303717

VL - 60

SP - 412

EP - 428

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 3

ER -

ID: 53406265