Geodesic γ-Pre-E-Convex Functions on Riemannian Manifolds  

作　　者：Seema MEENA D.B.OJHA 

机构地区：[1]Department of Mathematics,Faculty of Science,University of Rajasthan,Jaipur 302004,India

出　　处：《Journal of Mathematical Research with Applications》2023年第3期324-334,共11页数学研究及应用（英文版）

摘　　要：In this paper, we generalize geodesic E-convex function and define geodesic γ-pre-E-convex and geodesic γ-E-convex functions on Riemannian manifolds. The sufficient condition of equivalence class of geodesic γ-pre-E-convexity and geodesic γ-E-convexity for differentiable function on Riemannian manifolds is studied. We discuss the sufficient condition for E-epigraph to be geodesic E-convex set. At the end, we establish some optimality results with the aid of geodesic γ-pre-E-convex and geodesic γ-E-convex functions and discuss the mean value inequality for geodesic γ-pre-E-convex function.

关 键 词：geodesic E-convex set geodesicγ-pre-E-convex function geodesicγ-E-convex function optimality conditions 

分 类 号：O186.12[理学—数学]