A variant of Jensen-type inequality and related results for harmonic convex functions
Imran Abbas Baloch, Aqeel Ahmad Mughal, Yu‐Ming Chu, Absar Ul Haq, Manuel De la Sen
Abstract
In this article, we present a variant of discrete Jensen-type inequality for harmonic convex functions and establish a Jensen-type inequality for harmonic <i>h</i>-convex functions. Furthermore, we found a variant of Jensen-type inequality for harmonic <i>h</i>-convex functions.
Topics & Concepts
Jensen's inequalityMathematicsConvex functionHarmonicLog sum inequalityType (biology)Regular polygonInequalityHarmonic functionConvex combinationPure mathematicsConvex analysisMathematical analysisConvex optimizationPhysicsGeometryEcologyQuantum mechanicsBiologyMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsNonlinear Differential Equations Analysis