On a Functional Equation Appearing on the Margins of a Mean Invariance Problem

Abstract

Given a continuous strictly monotonic real-valued function α, defined on an interval I, and a function ω : I → (0, +∞) we denote by Bαω the Bajraktarević mean generated by α and weighted by ω:

Keywords

• functional equation
• mean
• invariance
• bajraktarević mean
• 26e60
• 39b22