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Russian Mathematical Surveys, 1970, Volume 25, Issue 5, Pages 171–200
DOI: https://doi.org/10.1070/RM1970v025n05ABEH003800 (Mi rm5408) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Duality in mathematical programming and some problems of convex analysis

G. Sh. Rubinshtein
English version PDF (1707 kB) Citations (15)
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DOI: https://doi.org/10.1070/RM1970v025n05ABEH003800
Abstract: In the paper we explain a general construction method for a problem that is dual in a certain sense to a given extremal problem and we illustrate the method by examples of various classes of problems of mathematical programming. In addition, we consider some problems in the theory of convex sets and convex functions, investigations that were stimulated chiefly by the needs of mathematical programming.
Received: 25.05.1970
Russian version:
Uspekhi Matematicheskikh Nauk, 1970, Volume 25, Issue 5(155), Pages 171–201
Bibliographic databases:
Document Type: Article
UDC: 519.35+513.88/011+512.25/26
MSC: 46A20, 46A55, 90C25, 90C05
Language: English
Original paper language: Russian
Citation: G. Sh. Rubinshtein, “Duality in mathematical programming and some problems of convex analysis”, Uspekhi Mat. Nauk, 25:5(155) (1970), 171–201; Russian Math. Surveys, 25:5 (1970), 171–200
Citation in format AMSBIB
\Bibitem{Rub70}
\by G.~Sh.~Rubinshtein
\paper Duality in mathematical programming and some problems of convex analysis
\jour Uspekhi Mat. Nauk
\yr 1970
\vol 25
\issue 5(155)
\pages 171--201
\mathnet{http://mi.mathnet.ru/rm5408}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=293989}
\zmath{https://zbmath.org/?q=an:0225.90039}
\transl
\jour Russian Math. Surveys
\yr 1970
\vol 25
\issue 5
\pages 171--200
\crossref{https://doi.org/10.1070/RM1970v025n05ABEH003800}
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  • https://www.mathnet.ru/eng/rm/v25/i5/p171
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
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    Abstract page:608
    Russian version PDF:331
    English version PDF:24
    References:75
    First page:1
     
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