Hermite–Hadamard type inequality for (E, F)-convex functions and geodesic (E, F)-convex functions

DOI10.1051/RO/2022185OpenAlexW4306642662MaRDI QIDQ6186573

Wedad Saleh

Publication date: 2 February 2024

Published in: RAIRO - Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/ro/2022185

zbMATH Keywords

Riemannian manifoldsgeodesic \(E\)-convex functionsgeodesic convex setsgeodesic convex functions\((E, F)\)-convex functions

Mathematics Subject Classification ID

Convex programming (90C25) Convex functions and convex programs in convex geometry (52A41) Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

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• Some results on $\varphi$--convex functions and geodesic $\varphi$-convex functions
• Hermite‐Hadamard inequalities in fractional calculus defined using Mittag‐Leffler kernels
• AN IMPROVEMENT OF THE POWER-MEAN INTEGRAL INEQUALITY IN THE FRAME OF FRACTAL SPACE AND CERTAIN RELATED MIDPOINT-TYPE INTEGRAL INEQUALITIES
• Strong Geodesic Convex Functions of Order m

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