Some further refinements and extensions of the Hermite-Hadamard and Jensen inequalities in several variables

DOI10.1016/j.mcm.2011.06.057zbMath1235.26016OpenAlexW2018707259MaRDI QIDQ409981

Yu-Dong Wu, Zhi-Hua Zhang, Hari M. Srivastava

Publication date: 15 April 2012

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.06.057

zbMATH Keywords

Jensen's inequalityconvex functionsHermite-Hadamard inequalitiesrefinements and extensionsXiao-Srivastava-Zhang-Pečarić-Svrtan-Jensen type inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (14)

Inequalities involving new fractional integrals technique via exponentially convex functions ⋮ Quantum Hermite-Hadamard type inequalities for generalized strongly preinvex functions ⋮ Some Steffensen-type inequalities over time scale measure spaces ⋮ New fuzzy-interval inequalities in fuzzy-interval fractional calculus by means of fuzzy order relation ⋮ Minkowski type inequality for fuzzy and pseudo-integrals ⋮ Some new integral inequalities for higher-order strongly exponentially convex functions ⋮ Refined converses of Jensen's inequality for operators ⋮ Advanced analysis of local fractional calculus applied to the Rice theory in fractal fracture mechanics ⋮ Some complementary inequalities to Jensen's operator inequality ⋮ Some new inequalities of the Hermite–Hadamard type for extended ((s₁, m₁)-(s₂, m₂))-convex functions on co-ordinates ⋮ Some Hermite-Hadamard and Opial dynamic inequalities on time scales ⋮ Hermite-Hadamard-type inequalities for interval-valued preinvex functions via Riemann-Liouville fractional integrals ⋮ Applying GG-convex function to Hermite-Hadamard inequalities involving Hadamard fractional integrals ⋮ Fejér-type inequalities for Lipschitzian functions and their applications

Cites Work

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• Fejér-type inequalities. I.
• Further refinements of the Jensen inequalities based upon samples with repetitions
• Convex functions, partial orderings, and statistical applications
• Two mappings in connection to Hadamard's inequalities
• New refinements of the Jensen inequalities based on samples with repetitions
• Some Hadamard's inequalities for co-ordinated convex functions in a rectangle from the plane
• On some weighted integral inequalities for convex functions related to Fejér's result
• ON SOME NEW INEQUALITIES OF HERMITE-HADAMARD-FEJÉR TYPE INVOLVING CONVEX FUNCTIONS

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