New refinements of the Jensen inequalities based on samples with repetitions

DOI10.1006/jmaa.1997.5839zbMath0912.26008OpenAlexW2038038072MaRDI QIDQ1270884

Dragutin Svrtan, Josip E. Pečarić

Publication date: 29 November 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5839

zbMATH Keywords

Jensen inequalitymid-convex real function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (13)

Some inequalities involving means and their converses ⋮ 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 ⋮ Inequalities involving Dresher variance mean ⋮ On weighted Hermite-Hadamard inequalities ⋮ On \(\log\)-convexity for differences of mixed symmetric means ⋮ The optimization for the inequalities of power means ⋮ A generalization of Hadamard's inequality for convex functions ⋮ Theories and inequalities on the satellite system ⋮ Mixed mean inequalities for several positive definite matrices ⋮ Jensen type inequalities involving homogeneous polynomials ⋮ Further refinements of the Jensen inequalities based upon samples with repetitions ⋮ An optimal version of an inequality involving the third symmetric means

Cites Work

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