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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 310, Pages 7–18
DOI: https://doi.org/10.4213/tm4101 (Mi tm4101) 		 
Approximations of Nonlinear Integral Functionals of Entropy Type

V. I. Bogachevab

a Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Leninskie Gory 1, Moscow, 119991 Russia
b National Research University Higher School of Economics, ul. Myasnitskaya 20, Moscow, 101000 Russia
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DOI: https://doi.org/10.4213/tm4101
Abstract: We obtain generalizations and strengthenings of the results of V. V. Kozlov and D. V. Treschev on approximations of nonlinear integral functionals of entropy type on measure spaces.
Keywords: integral functional, entropy, conditional expectation.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-20008
20-01-00432
Foundation for the Advancement of Theoretical Physics and Mathematics BASIS 18-1-6-83-1
Moscow Center of Fundamental and Applied Mathematics
This work was supported by the Russian Foundation for Basic Research (project nos. 18-31-20008 and 20-01-00432), by the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS” (project no. 18-1-6-83-1), and by the Moscow Center of Fundamental and Applied Mathematics.
Received: February 20, 2020
Revised: February 20, 2020
Accepted: April 6, 2020
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 310, Pages 1–11
DOI: https://doi.org/10.1134/S0081543820050016
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: V. I. Bogachev, “Approximations of Nonlinear Integral Functionals of Entropy Type”, Selected issues of mathematics and mechanics, Collected papers. On the occasion of the 70th birthday of Academician Valery Vasil'evich Kozlov, Trudy Mat. Inst. Steklova, 310, Steklov Math. Inst., Moscow, 2020, 7–18; Proc. Steklov Inst. Math., 310 (2020), 1–11
Citation in format AMSBIB
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\bookinfo Collected papers. On the occasion of the 70th birthday of Academician Valery Vasil'evich Kozlov
\serial Trudy Mat. Inst. Steklova
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\vol 310
\pages 7--18
\publ Steklov Math. Inst.
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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