New mean value theorems and generalization of Hadamard inequality via coordinated \(m\)-convex functions

DOI10.1186/s13660-015-0808-zzbMath1334.26045OpenAlexW1912101999WikidataQ59428997 ScholiaQ59428997MaRDI QIDQ262486

F. Blanchet-Sadri, M. Dambrine

Publication date: 29 March 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-015-0808-z

zbMATH Keywords

convex functionsHadamard inequalitymean value theorems\(m\)-convex functionsconvex functions on coordinates

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25)

Related Items (10)

General fractional integral inequalities for convex and \(m\)-convex functions via an extended generalized Mittag-Leffler function ⋮ A generalized Hermite-Hadamard inequality for coordinated convex function and some associated mappings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Petrović’s inequality on coordinates and related results ⋮ Some integral inequalities for m-convex functions via generalized fractional integral operator containing generalized Mittag-Leffler function ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• More about Hermite-Hadamard inequalities, Cauchy's means, and superquadracity
• On the Hadamard's inequality for log-convex functions on the coordinates
• Hermite and convexity
• Convex functions, partial orderings, and statistical applications
• Two mappings in connection to Hadamard's inequalities
• On the Hadamard's inequality for convex functions on the co-ordinates in a rectangle from the plane
• Non-symmetric Stolarsky means
• Convex functions and their applications. A contemporary approach
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