A new bound for the Jensen gap pertaining twice differentiable functions with applications
Shahid Khan, Muhammad Adil Khan, Saad Ihsan Butt, Yu‐Ming Chu
Abstract
Abstract In this paper, we present a new bound for the Jensen gap with the help of a Green function. Using the bound, we deduce a converse of the Hölder inequality as well. Finally, we present some applications of the main result in information theory.
Topics & Concepts
ConverseMathematicsDifferentiable functionUpper and lower boundsOrdinary differential equationFunction (biology)InequalityPartial differential equationMathematical economicsPure mathematicsApplied mathematicsMathematical analysisDifferential equationGeometryEvolutionary biologyBiologyMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsNonlinear Differential Equations Analysis