A sequence of mappings associated with the Hermite-Hadamard inequalities and applications.

DOI10.1023/B:APOM.0000027220.51557.6dzbMath1099.26016OpenAlexW2030494310MaRDI QIDQ851615

Sever Silvestru Dragomir

Publication date: 21 November 2006

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33179

zbMATH Keywords

convex functionsmultiple integrals

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Cites Work

• Hermite and convexity
• Inequalities involving generalized symmetric means
• Inequalities involving multivariate convex functions
• Convex functions, partial orderings, and statistical applications
• Two mappings in connection to Hadamard's inequalities
• Stolarsky means and Hadamard's inequality
• Hadamard's inequality for \(r\)-convex functions
• Inequalities of Hadamard's type for Lipschitzian mappings and their applications
• Two new mappings associated with Hadamard's inequalities for convex functions
• On certain integral inequalities related to Hermite-Hadamard inequalities
• \(P\)-functions, quasi-convex functions, and Hadamard-type inequalities
• Inequalities Involving Multivariate Convex Functions II
• Quasi-convex functions and Hadamard's inequality
• INTEGRAL INEQUALITIES OF HADAMARD TYPE FOR LOG-CONVEX FUNCTIONS
• A best possible Hadamard inequality
• Convexity according to the geometric mean
• On Hadamard's inequality for the convex mappings defined on a ball in the space and applications
• THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE
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