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Peter Olamide Olanipekun, Fractional integral estimates of Hermite-Hadamard type in global nonpositive curvature spaces, Eur. J. Math. Appl. 5 (2025), Article ID 9.

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Volume 5 (2025), Article ID 9

https://doi.org/10.28919/ejma.2025.5.9

Published: 10/02/2025

Abstract:

We extend the notion of convexity of functions defined on global nonpositive curvature spaces by introducing (geodesically) h-convex functions. Using Katugampola’s integral operators, we establish Hermite-Hadamard-type estimates. From these results, we derive an important corollary that provides a sharp estimate involving squared distance mappings between points in a global NPC space. This work contributes to analysis on spaces with curved geometry.

How to Cite:

Peter Olamide Olanipekun, Fractional integral estimates of Hermite-Hadamard type in global nonpositive curvature spaces, Eur. J. Math. Appl. 5 (2025), Article ID 9. https://doi.org/10.28919/ejma.2025.5.9