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

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 B α ω the Bajraktarević mean generated by α and weighted by ω : <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:msubsup> <m:mi>B</m:mi> <m:mi>ω</m:mi> <m:mi>α</m:mi> </m:msubsup> <m:mrow> …