Formulate a Relationship Between Saddle Points on Surfaces and Inflection Points on Curves

被引：0

作者：

Mohd, I ^{[1
]}

Dasril, Y. ^{[2
]}

机构：

[1] Univ Putra Malaysia, Inst Math Res, Seri Kembangan, Malaysia

[2] Univ Tekn Malaysia Melaka, Ctr Telecommun Res & Innovat, Ayer Keroh, Malaysia

来源：

MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES | 2019年 / 13卷 / 03期

关键词：

Saddle; inflection; differentiation; quadratic; linear;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that there is a much closed relationship between saddle and inflection points. It was shown in one of the research papers that a connection between the saddle points of functions of two variables with the inflection points of functions of one variable and the researcher claimed that he has not found any references to this result in the literature. However, the author himself worried by asking whether there always exists such a one variable function that is differentiable at the saddle point or not. In this paper, it will be proposed two results for relationship between the saddle and inflection points through the quadratic functions of two variables and two linear and non-linear functions of one variable. These results will be supported with several numerical examples.

引用

页码：439 / 446

页数：8