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Matematicheskie Zametki, 2017, Volume 102, Issue 6, Pages 866–873
DOI: https://doi.org/10.4213/mzm11568 (Mi mzm11568) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Continuous Sums of Ridge Functions on a Convex Body and the Class VMO

A. A. Kuleshov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (466 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm11568
Abstract: Sums of ridge functions on convex bodies in the space $\mathbb R^n$ are studied. It is established that, under sufficiently general constraints on the functions of one variable generating the sums, each of these sums must belong to the class VMO on each finite closed interval of its domain.
Keywords: ridge function, the class VMO.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation under grant 14-50-00005.
Received: 27.03.2016
Revised: 16.05.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 6, Pages 799–805
DOI: https://doi.org/10.1134/S0001434617110207
Bibliographic databases:
Document Type: Article
UDC: 517.518.2
Language: Russian
Citation: A. A. Kuleshov, “Continuous Sums of Ridge Functions on a Convex Body and the Class VMO”, Mat. Zametki, 102:6 (2017), 866–873; Math. Notes, 102:6 (2017), 799–805
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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