Young Duality and Aggregation of Balances
А. А. Шананин
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.
Topics & Concepts
MathematicsDuality (order theory)Convolution (computer science)HomogeneousNonlinear systemStrong dualityDual (grammatical number)Pure mathematicsApplied mathematicsMathematical analysisMathematical optimizationCombinatoricsComputer scienceOptimization problemArtificial intelligenceQuantum mechanicsLiteratureArtPhysicsArtificial neural networkAdvanced Mathematical TheoriesEconomic theories and modelsEconomic Theory and Policy