The Relation between W-Convex and W-Concave Functions on Convex Metric Space
Rahmanda Amrullah, Encum Sumiaty

Mathematics Study Program, Universitas Pendidikan Indonesia

Abstract

Studies on convexity such as convex sets, convex functions, concave functions, convex metric spaces, and their variations have been carried out by researchers. One of the topics about the variation of convexity that has not been widely studied is W-convex and W-concave functions on convex metric space. Therefore, this study examines the relation between W-convex and W-concave based on the properties possessed. The method used is adapting and modifying the relation of convex and concave functions with the properties of W-convex and W-concave functions. It is obtained that the negative of W-convex function is W-concave and conversely. This invention also reveals that the properties of W-convex and W-concave functions have relations.

Keywords: W-convex function, W-concave function, convex metric space, relation, properties

Topic: Mathematics and Mathematics Education