Affiliation:
1. Department of Industrial Engineering, Yuan Ze University, Taoyuan 320, Taiwan
Abstract
In this paper, we give two weak conditions for a lower semi-continuous function on then-dimensional Euclidean spaceRnto be a convex function. We also present some results for convex functions, strictly convex functions, and quasi-convex functions.
Subject
Mathematics (miscellaneous)
Cited by
2 articles.
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1. Gradient and Optimization;A Matrix Algebra Approach to Artificial Intelligence;2020
2. Convexity and semicontinuity of fuzzy sets;Fuzzy Sets and Systems;2004-05