The Journal of the Indian Mathematical Society

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A Note on Arc Lengths


Affiliations
1 Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX 78363-8202, United States
2 Department of Applied Mathematics, National Chung-Hsing University, Taichung, 402, Taiwan, Province of China
3 Department of Mathematics, Central University, Chung-Li, 320, Taiwan, Province of China
     

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The purpose of this paper is to give an analytic proof of an integral inequality due to Ozeki and Aoyaki. A simple application to the arc length of the parametric equation of a plane curve is also given.

Keywords

Banach Space, Strictly Convex, Uniformly Convex, Arc Length, Bounded Variation, Rectifiable, Homeomorphism, Convex, Concave.
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Abstract Views: 316

PDF Views: 1




  • A Note on Arc Lengths

Abstract Views: 316  |  PDF Views: 1

Authors

Ravi P. Agarwal
Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX 78363-8202, United States
Yuan-Chuan Li
Department of Applied Mathematics, National Chung-Hsing University, Taichung, 402, Taiwan, Province of China
Cheh-Chih Yeh
Department of Mathematics, Central University, Chung-Li, 320, Taiwan, Province of China

Abstract


The purpose of this paper is to give an analytic proof of an integral inequality due to Ozeki and Aoyaki. A simple application to the arc length of the parametric equation of a plane curve is also given.

Keywords


Banach Space, Strictly Convex, Uniformly Convex, Arc Length, Bounded Variation, Rectifiable, Homeomorphism, Convex, Concave.

References