Improvement of Jensen's Inequality in terms of Gâteaux Derivatives for Convex Functions in Linear Spaces with Applications

DOI10.5666/KMJ.2012.52.4.495zbMath1291.26019OpenAlexW2073940520MaRDI QIDQ5407221

Sadia Khalid, Muhammad Adil Khan, Josip E. Pečarić

Publication date: 4 April 2014

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5666/kmj.2012.52.4.495

zbMATH Keywords

Jensen's inequality convex functions norms \(f\)-divergence measures Gâteaux derivatives mean \(f\)-deviations

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (7)

On Zipf-Mandelbrot entropy ⋮ New converses of Jensen inequality via Green functions with applications ⋮ REFINEMENTS AND REVERSES OF F ́EJER’S INEQUALITIES FOR CONVEX FUNCTIONS ON LINEAR SPACES ⋮ Further refinements of Jensen's type inequalities for the function defined on the rectangle ⋮ Some inequalities for weighted and integral means of convex functions on linear spaces ⋮ A new bound for the Jensen gap pertaining twice differentiable functions with applications ⋮ Generalization and refinements of the Jensen-Mercer inequality with applications

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