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Lp-DUAL MIXED GEOMINIMAL SURFACE AREA

Published online by Cambridge University Press:  02 September 2013

YIBIN FENG  and
WEIDONG WANG
YIBIN FENG
Affiliation:
Department of Mathematics, China Three Gorges University, Yichang 443002, China e-mails: fengyibin001@163.com; wdwxh722@163.com
WEIDONG WANG
Affiliation:
Department of Mathematics, China Three Gorges University, Yichang 443002, China e-mails: fengyibin001@163.com; wdwxh722@163.com
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Abstract

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Lutwak (Adv. Math., vol. 118(2), 1996, pp. 244–294) defined the notion of Lp-geominimal surface area based on Lp-mixed volumes. Recently, Wang and Qi (J. Inequal. Appl., vol. 2011, 2011, pp. 1–10) introduced the concept of Lp-dual geominimal surface area based on Lp-dual mixed volumes. In this paper, based on Lp-dual mixed quermassintegrals, we define the concept of Lp-dual mixed geominimal surface area and establish several inequalities for this new notion.

Keywords

52A2052A40
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 56 , Issue 1 , January 2014 , pp. 229 - 239
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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