Fractional Integral Estimates of Hermite-Hadamard type in Global Nonpositive Curvature Spaces
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916205480116224 |
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| author | Olanipekun, Peter Olamide |
| author_facet | Olanipekun, Peter Olamide |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09400 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fractional Integral Estimates of Hermite-Hadamard type in Global Nonpositive Curvature Spaces Olanipekun, Peter Olamide Functional Analysis Differential Geometry 32F17 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. |
| title | Fractional Integral Estimates of Hermite-Hadamard type in Global Nonpositive Curvature Spaces |
| topic | Functional Analysis Differential Geometry 32F17 |
| url | https://arxiv.org/abs/2404.09400 |