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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2020 Volume 310, Pages 7–18 (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

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.

UDC: 517.5

Received: February 20, 2020
Revised: February 20, 2020
Accepted: April 6, 2020

DOI: 10.4213/tm4101


 English version: Proceedings of the Steklov Institute of Mathematics, 2020, 310, 1–11

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© Steklov Math. Inst. of RAS, 2025