Some results on $\varphi$--convex functions and geodesic $\varphi$-convex functions

zbMath1396.26022arXiv1706.05841MaRDI QIDQ4583534

Akhlad Iqbal, Chandan Kumar Mondal, Absos Ali Shaikh

Publication date: 31 August 2018

Full work available at URL: https://arxiv.org/abs/1706.05841

zbMATH Keywords

Riemannian manifolds\(\varphi\)-convex functions\(\varphi\)-epigraphsgeodesic \(\varphi\)-convex functionsgeodesic \(\varphi\)-convex sets

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Geodesics in global differential geometry (53C22) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30) Local Riemannian geometry (53B20)

Related Items (7)

Integral inequalities for hyperbolic type preinvex functions ⋮ Hermite-Hadamard type inequalities based on the Erdélyi-Kober fractional integrals ⋮ Non-existence of certain type of convex functions on a Riemannian manifold with a pole ⋮ Geodesic sandwich theorem with an application ⋮ Hermite–Hadamard type inequality for (E, F)-convex functions and geodesic (E, F)-convex functions ⋮ Some properties of geodesic $(alpha,E)$-preinvex functions on Riemannian manifolds ⋮ On generalized strongly modified \(h\)-convex functions

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