Improved Jensen-type inequalities via linear interpolation and applications
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Publication:5280093
DOI10.7153/jmi-11-27zbMath1368.26021arXiv1610.01567OpenAlexW2529612101MaRDI QIDQ5280093
Mario Krnić, Josip E. Pečarić, Daeshik Choi
Publication date: 20 July 2017
Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.01567
convex functionarithmetic meangeometric meanJensen inequalityYoung inequalityKantorovich constantHeinz meanSpecht ratio
Miscellaneous inequalities involving matrices (15A45) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)
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Inequalities of the Jensen and Edmundson-Lah-Ribarič type for 3-convex functions with applications ⋮ Improved Jensen-type inequalities via quadratic interpolation and applications ⋮ Some refinements of real power form inequalities for convex functions via weak sub-majorization ⋮ Further new refinements and reverses of real power form for Young-type inequalities via famous constants and applications ⋮ Further refinements of real power form inequalities for convex functions via weak sub-majorization ⋮ A generalization of Young-type inequalities ⋮ New improvement of the converse Jensen inequality ⋮ Reverses of Young type inequalities for matrices using the classical Kantorovich constant ⋮ Inequalities of the Edmundson-Lah-Ribarič type for \(n\)-convex functions with applications ⋮ More accurate classes of Jensen-type inequalities for convex and operator convex functions ⋮ More accurate Hilbert-type inequalities in a difference form ⋮ Some generalizations of real power form for Young-type inequalities and their applications ⋮ Two new extensions of the weighted arithmetic-geometric mean inequality via weak sub-majorization
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