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Matematicheskie Zametki, 2013, Volume 93, Issue 3, Pages 466–476
DOI: https://doi.org/10.4213/mzm8458 (Mi mzm8458) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On Best Approximations by Analogs of “Proper” and “Improper” Hyperbolic Crosses

N. N. Pustovoitov

Moscow State Technical University "MAMI"
Full-text PDF (469 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm8458
Abstract: The exact approximation orders for the classes $H_q^\Omega$ are calculated for the case in which $\Omega(t)$ contains both power and logarithmic multipliers. For these classes, the exact orders of best approximation by analogs of “improper” hyperbolic crosses are also obtained.
Keywords: best approximation orders for the classes $H_q^\Omega$, hyperbolic cross, orthowidth, trigonometric polynomial, Nikolskii function class.
Received: 07.05.2009
Revised: 17.02.2011
English version:
Mathematical Notes, 2013, Volume 93, Issue 3, Pages 487–496
DOI: https://doi.org/10.1134/S0001434613030164
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: N. N. Pustovoitov, “On Best Approximations by Analogs of “Proper” and “Improper” Hyperbolic Crosses”, Mat. Zametki, 93:3 (2013), 466–476; Math. Notes, 93:3 (2013), 487–496
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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