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

Absos Ali Shaikh; Akhlad Iqbal; Chandan Kumar Mondal

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arXiv · 1706.05841

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

Absos Ali Shaikh·Akhlad Iqbal·Chandan Kumar Mondal

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Abstract

As a generalization of geodesic function, in the present paper, we introduce the notion of geodesic $\varphi$-convex function and deduce some basic properties of $\varphi$-convex function and geodesic $\varphi$-convex function. We also introduce the concept of geodesic $\varphi$-convex set and $\varphi$-epigraph and investigate a characterization of geodesic $\varphi$-convex functions in terms of their $\varphi$-epigraphs.

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BibTeX RIS

Absos Ali Shaikh, Akhlad Iqbal, Chandan Kumar Mondal. 2017-06-19. Some results on $\varphi$--convex functions and geodesic $\varphi$-convex functions. https://arxiv.org/abs/1706.05841

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