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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 11, Pages 3–9
DOI: https://doi.org/10.26907/0021-3446-2019-11-3-9 (Mi ivm9510) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The construction of a production function from the restriction to the simplex

E. M. Bronshtein

Ufa State Aviation Technical University, 12 K. Marks str., Ufa, 450000 Russia
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DOI: https://doi.org/10.26907/0021-3446-2019-11-3-9
Abstract: We obtain conditions for a function defined on a standard simplex in $\mathbb R^n$, for which its $\alpha$-homogeneous extension to a nonnegative orthant has the properties of a production function (nondecreasing for all variables, concavity). We study some standard functions on a simplex for the first property.
Keywords: production function, simplex, nondecreasing, concavity.
Funding agency Grant number
Russian Foundation for Basic Research 19-07-00895
Received: 09.07.2018
Revised: 09.07.2018
Accepted: 19.12.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 11, Pages 1–6
DOI: https://doi.org/10.3103/S1066369X1911001X
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: E. M. Bronshtein, “The construction of a production function from the restriction to the simplex”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 11, 3–9; Russian Math. (Iz. VUZ), 63:11 (2019), 1–6
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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