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arXiv · 2404.09400

Fractional Integral Estimates of Hermite-Hadamard type in Global Nonpositive Curvature Spaces

Peter Olamide Olanipekun
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Abstract

We extend the notion of convexity of functions defined on global nonpositive curvature spaces by introducing (geodesically) $h$-convex functions. We prove estimates of Hermite-Hadamard type via Katugampola's fractional integrals. We obtain an important corollary which gives an essentially sharp estimate involving squared distance mappings between points in a global NPC space. This is a contribution to analysis on spaces with curved geometry.

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Peter Olamide Olanipekun. 2024-04-15. Fractional Integral Estimates of Hermite-Hadamard type in Global Nonpositive Curvature Spaces. https://arxiv.org/abs/2404.09400

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