Improvement of Jensen's Inequality in terms of Gâteaux Derivatives for Convex Functions in Linear Spaces with Applications
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Publication:5407221
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
Jensen's inequalityconvex functionsnorms\(f\)-divergence measuresGâteaux derivativesmean \(f\)-deviations
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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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