A measure-theoretic version of the Dragomir-Jensen inequality
J. M. Aldaz
TL;DR
This paper generalizes Dragomir's Jensen inequality refinement using measure theory, broadening its applicability and clarifying the conditions for equality in a more general setting.
Contribution
It introduces a measure-theoretic extension of Dragomir's Jensen inequality and characterizes the conditions for equality in this broader context.
Findings
Extended Jensen inequality to measure-theoretic setting
Identified conditions for equality in the generalized inequality
Broadened applicability of Dragomir's refinement
Abstract
We extend Dragomir's refinement of Jensen's inequality from the dicrete to the general case, identifying the equality conditions.
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Mathematics and Applications