Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019, 12 October 2019, Bandung, West Java, Indonesia

Research Article

Comparison Between Convex and Quasiconvex Functions on R With Development

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  • @INPROCEEDINGS{10.4108/eai.12-10-2019.2296393,
        author={Encum  Sumiaty and Endang  Dedy and Sofihara Al Hazmy and Andryana  Juanda},
        title={Comparison Between Convex and Quasiconvex Functions on R With Development},
        proceedings={Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019, 12 October 2019, Bandung, West Java, Indonesia},
        publisher={EAI},
        proceedings_a={MSCEIS},
        year={2020},
        month={7},
        keywords={convex function quasiconvex function convex function space quasiconvex function space},
        doi={10.4108/eai.12-10-2019.2296393}
    }
    
  • Encum Sumiaty
    Endang Dedy
    Sofihara Al Hazmy
    Andryana Juanda
    Year: 2020
    Comparison Between Convex and Quasiconvex Functions on R With Development
    MSCEIS
    EAI
    DOI: 10.4108/eai.12-10-2019.2296393
Encum Sumiaty1,*, Endang Dedy1, Sofihara Al Hazmy1, Andryana Juanda1
  • 1: Department of Mathematics Education, Indonesia University of Education, Jl. Dr. Setiabudhi no. 229, Bandung 40154, Indonesia
*Contact email: e.sumiaty@gmail.com

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.