BOUNDS FOR THE DEVIATION OF A FUNCTION FROM THE CHORD GENERATED BY ITS EXTREMITIES

DOI10.1017/S0004972708000671zbMath1154.26024MaRDI QIDQ3540986

Sever Silvestru Dragomir

Publication date: 25 November 2008

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

monotonicityconvexitybounded variationweighted meansanalytic inequalitiesabsolute continuity\(f\)-divergence measures

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17)

Related Items (11)

Reverse Jensen's type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces ⋮ Inequalities for Functions of Selfadjoint Operators on Hilbert Spaces ⋮ Unnamed Item ⋮ Reverse Jensen integral inequalities for operator convex functions in terms of Fréchet derivative ⋮ Reverses of the Jensen inequality in terms of first derivative and applications ⋮ General Lebesgue integral inequalities of Jensen and Ostrowski type for differentiable functions whose derivatives in absolute value are h-convex and applications ⋮ SOME REVERSES OF THE JENSEN INEQUALITY WITH APPLICATIONS ⋮ A Survey of Reverse Inequalities for f-Divergence Measure in Information Theory ⋮ SOME TRACE INEQUALITIES FOR CONVEX FUNCTIONS OF SELFADJOINT OPERATORS IN HILBERT SPACES ⋮ Unnamed Item ⋮ Converses of Jessen's inequality on time scales II

Cites Work

• Unnamed Item
• Inequalities for Stieltjes integrals with convex integrators and applications
• On Jessen's inequality for convex functions
• Minimum Hellinger distance estimates for parametric models
• On Information and Sufficiency

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