A version of the Hermite-Hadamard inequality in a nonpositve curvature space

DOI10.15352/bjma/1342210166zbMath1247.39026OpenAlexW1979826196MaRDI QIDQ437731

Cristian Conde

Publication date: 18 July 2012

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

Full work available at URL: https://projecteuclid.org/euclid.bjma/1342210166

zbMATH Keywords

convex functionsgeodesic convexityHermite-Hadamard inequalitynonpositive curvature metric space

Mathematics Subject Classification ID

Complete metric spaces (54E50) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Other notions of convexity in relation to several complex variables (32F17)

Related Items (6)

Hermite-Hadamard and Ostrowski type inequalities on hemispheres ⋮ Norm inequalities related to the Heron and Heinz means ⋮ Convex geometric means ⋮ Refinements of the Hermite-Hadamard inequality in NPC global spaces ⋮ Unnamed Item ⋮ Some Hermite-Hadamard type inequalities for the product of two operator preinvex functions

Cites Work

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• Hermite-Hadamard's type inequalities for operator convex functions
• Reductive groups over a local field
• Manifolds of semi-negative curvature
• Simple proof and refinement of Hermite-Hadamard inequality
• Inequalities in Banach spaces with applications
• Matrix Hermite-Hadamard type inequalities
• Hermite-Hadamard's inequality and the p-HH-norm on the Cartesian product of two copies of a normed space
• Hermite-Hadamard's inequalities for multivariate g-convex functions

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