A companion inequality to Jensen's inequality

DOI10.1016/0021-9045(81)90112-XzbMath0521.41011OpenAlexW2039878365MaRDI QIDQ1055636

Morton L. Slater

Publication date: 1981

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(81)90112-x

zbMATH Keywords

convex functionJensen's inequalityJensen's integral inequalitymeasurable mapping

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (20)

A multidimensional generalization of Slater's inequality ⋮ A companion to Jensen-Steffensen's inequality ⋮ Unnamed Item ⋮ A survey of Jensen type inequalities for functions of selfadjoint operators in Hilbert spaces ⋮ Improvement and reversion of Slater's inequality and related results ⋮ Some Slater's type inequalities for convex functions defined on linear spaces and applications ⋮ Continuous symmetrization and continuous increasing refinements of inequalities and monotonicity of eigenvalues ⋮ Some estimations of the Jensen difference and applications ⋮ Convexity Revisited: Methods, Results, and Applications ⋮ On η-convexity ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the concavity of Dirichlet's eta function and related functional inequalities ⋮ Order generalised gradient and operator inequalities ⋮ Generalizations of the Jensen-Steffensen and related inequalities ⋮ Some properties of the generalized Jacobian elliptic functions II ⋮ Integral inequalities involving strongly convex functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A note on the Jacobian elliptic sine function

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