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Matematicheskie Zametki, 2010, Volume 87, Issue 1, Pages 26–34
DOI: https://doi.org/10.4213/mzm5180 (Mi mzm5180) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Sharp Estimates of the Norms of Fractional Derivatives of Functions of Several Variables Satisfying Hölder Conditions

V. F. Babenkoa, S. A. Pichugovb

a Dnepropetrovsk National University
b Dnepropetrovsk National University of Railway Transport
Full-text PDF (464 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm5180
Abstract: We prove a new sharp Kolmogorov-type inequality that estimates the uniform norm of a mixed derivative of fractional order (in the sense of Marchaud) of a function of several variables via the uniform norm of the function and its norm on Hölder spaces.
Keywords: Marchaud fractional derivative, essentially bounded function, Kolmogorov-type inequality, Hölder condition, Hölder space.
Received: 05.06.2008
Revised: 26.05.2009
English version:
Mathematical Notes, 2010, Volume 87, Issue 1, Pages 23–30
DOI: https://doi.org/10.1134/S0001434610010049
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. F. Babenko, S. A. Pichugov, “Sharp Estimates of the Norms of Fractional Derivatives of Functions of Several Variables Satisfying Hölder Conditions”, Mat. Zametki, 87:1 (2010), 26–34; Math. Notes, 87:1 (2010), 23–30
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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