\(L_p\)-dual mixed geominimal surface areas

Volume 9, Issue 3, pp 1143--1152 http://dx.doi.org/10.22436/jnsa.009.03.41

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Authors

Yan Li - Department of Mathematics, China Three Gorges University, Yichang, 443002, P. R. China. Wang Weidong - Department of Mathematics, China Three Gorges University, Yichang, 443002, P. R. China. Si Lin - Department of Mathematics, Beijing Forestry University, Beijing, 100083, P. R. China.

Abstract

Zhu, Zhou and Xu showed an integral formula of \(L_p\)-mixed geominimal surface area by the p-Petty body. In this paper, we give an integral representation of \(L_p\)-dual mixed geominimal surface area and establish several related inequalities.

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Keywords

• \(L_p\)-mixed geominimal surface area
• \(L_p\)-dual mixed geominimal surface area
• integral representation.

MSC

•  52A20
•  52A40

References

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