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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 6, Pages 1368–1380 (Mi smj2611)  
This article is cited in 1 scientific paper (total in 1 paper)

On the representability of a function of two variables as the difference of two convex functions

I. M. Prudnikov

Smolensk Division of the Russian University of Cooperation, Smolensk, Russia
Full-text PDF (319 kB) Citations (1)
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Abstract: We give necessary and sufficient conditions for the representability of an arbitrary function of two variables as the difference of two convex functions. Some geometric interpretation of these conditions is given. We present an algorithm of such a representation which yields a uniformly convergent sequence of convex functions.
Keywords: Lipschitz function, convex function, variation, curvature, rotation.
Received: 17.06.2013
Revised: 10.05.2014
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 6, Pages 1116–1125
DOI: https://doi.org/10.1134/S0037446614060147
Bibliographic databases:
Document Type: Article
UDC: 517.172.4
Language: Russian
Citation: I. M. Prudnikov, “On the representability of a function of two variables as the difference of two convex functions”, Sibirsk. Mat. Zh., 55:6 (2014), 1368–1380; Siberian Math. J., 55:6 (2014), 1116–1125
Citation in format AMSBIB
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\pages 1368--1380
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    Full-text PDF :156
    References:90
    First page:20
     
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