Generalized Hadamard's inequality and \(r\)-convex functions in Carnot groups

DOI10.1016/j.jmaa.2003.10.050zbMath1069.26021OpenAlexW2063839707MaRDI QIDQ596767

Ming-Bao Sun, Xiao-Ping Yang

Publication date: 10 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.10.050

zbMATH Keywords

Hadamard inequalityextended mean valuesCarnot group\(r\)-convex function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Means (26E60) Distributions, generalized functions, distribution spaces (46F99)

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The homogeneous polynomial solutions for the Grushin operator, Monotonicity, convexity, and inequalities for the generalized elliptic integrals, The Hermite-Hadamard type inequality of GA-convex functions and its application, On the weighted generalization of the Hermite-Hadamard inequality and its applications, A new characterization of convexity in free Carnot groups

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