Young Duality and Aggregation of Balances

Corresponding Member of the RAS A. A. Shananina,b,c,d,*

a Moscow Institute Physics and Technology (National Research University), Moscow, 141700 Russia

b Federal Research Center “Computer Science and Control,” Russian Academy of Sciences, Moscow, 119333 Russia

c Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, 119991 Russia

d RUDN University, Moscow, 117198 Russia

Correspondence to: *e-mail: alexshan@yandex.ru

Received 21 April, 2020

Abstract—An operation generalizing convolution is introduced using the Young transform and Fenchel’s duality theorem. Based on this operation, an aggregation procedure for a nonlinear input–output model with concave positively homogeneous production functions is proposed.

Keywords: nonlinear input–output model, Young transform, problem of weak separability, Cobb–Douglas production function

DOI: 10.1134/S1064562420040171