Further refinements of the Jensen inequalities based upon samples with repetitions
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Publication:984210
DOI10.1016/j.mcm.2009.11.004zbMath1190.26031OpenAlexW2090901571MaRDI QIDQ984210
Zhi-Hua Zhang, Zhen-Gang Xiao, Hari M. Srivastava
Publication date: 16 July 2010
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2009.11.004
Jensen's inequalityrefinements and extensionsarithmetic meansmid-convex functionsamples with repetitionsweighted arithmetic means
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Some Steffensen-type inequalities over time scale measure spaces ⋮ Refinements of Jensen's inequality via majorization results with applications in the information theory ⋮ A refinement of the integral form of Jensen's inequality ⋮ A method to refine the discrete Jensen's inequality for convex and mid-convex functions ⋮ Some further refinements and extensions of the Hermite-Hadamard and Jensen inequalities in several variables ⋮ Some estimations of the Jensen difference and applications ⋮ Refined converses of Jensen's inequality for operators ⋮ On weighted Hermite-Hadamard inequalities ⋮ Some complementary inequalities to Jensen's operator inequality ⋮ A new refinement of discrete Jensen's inequality depending on parameters ⋮ Jensen type inequalities involving homogeneous polynomials ⋮ Some improvements of Jensen's inequality via 4-convexity and applications ⋮ Fejér-type inequalities for Lipschitzian functions and their applications
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