Comparison Between Convex and Quasiconvex Functions on ℝ With Development

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Encum Sumiaty, Endang Dedy, Sofihara Al Hazmy, Andryana Juanda

2020 Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019 Conference paper Cited by 0 Quartile

Abstract

In this paper, we will introduce some basic properties about convex function and quasiconvex fucnction on ℝ. Some comparison between properties of convex function and quasiconvex function will be presented also. Our results are quasiconvex function can be represented as monotone function either or at most as two combination of monotone functions, as consequences it is discontinuous mostly at countable points, and it is not differentiable at zero measure set only. However the results are still fundamental, but we will learn as clear as we can. Copyright © 2020 EAI

Affiliations

Department of Mathematics Education, Indonesia University of Education, Jl. Dr. Setiabudhi no. 229, Bandung, 40154, Indonesia

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