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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 3, Pages 537–555
DOI: https://doi.org/10.33048/smzh.2019.60.306 (Mi smj3094) 		 
This article is cited in 1 scientific paper (total in 1 paper)

An exact inequality of Jackson–Chernykh type for spline approximations of periodic functions

O. L. Vinogradov

St. Petersburg State University, St. Petersburg, Russia
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DOI: https://doi.org/10.33048/smzh.2019.60.306
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: Jackson inequality, exact constant, splines.
Funding agency Grant number
Russian Science Foundation 18-11-00055
This work is supported by the Russian Science Foundation under Grant No. 18-11-00055.
Received: 25.06.2018
Revised: 10.03.2019
Accepted: 12.03.2019
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 3, Pages 412–428
DOI: https://doi.org/10.1134/S0037446619030066
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: O. L. Vinogradov, “An exact inequality of Jackson–Chernykh type for spline approximations of periodic functions”, Sibirsk. Mat. Zh., 60:3 (2019), 537–555; Siberian Math. J., 60:3 (2019), 412–428
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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