A. A. Shananin, “Young duality and aggregation of balances”, Dokl. RAN. Math. Inf. Proc. Upr., 2020, Volume 493,Pages <nobr>81

This article is cited in 12 papers

INFORMATICS

Young duality and aggregation of balances

A. A. Shananin^abcd

^a Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
^b Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow, Russian Federation
^c Lomonosov Moscow State University, Moscow, Russian Federation
^d Peoples' Friendship University of Russia, Moscow, Russian Federation

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.

UDC: 519.863

Received: 21.04.2020
Revised: 21.04.2020
Accepted: 02.05.2020

DOI: 10.31857/S2686954320040177