Abstract
We obtain some Hermite--Hadamard type inequalities for convex functions in a global non-positive curvature space.
Citation
Cristian Conde. "A version of the Hermite--Hadamard inequality in a nonpositve curvature space." Banach J. Math. Anal. 6 (2) 159 - 167, 2012. https://doi.org/10.15352/bjma/1342210166
Information
Published: 2012
First available in Project Euclid: 13 July 2012
zbMATH: 1247.39026
MathSciNet: MR2945994
Digital Object Identifier: 10.15352/bjma/1342210166
Subjects:
Primary:
39B62
Secondary:
32F17
,
54E50
,
58B20
Keywords:
geodesic convexity
,
Hermite--Hadamard inequality
,
non-positive curvature metric space
,
short geodesic
Rights: Copyright © 2012 Tusi Mathematical Research Group