Abstract
The mixed brightness-integrals were defined by Li and Zhu. In this paper, we first establish two Brunn-Minkowski inequalities of the mixed brightness-integrals based on the Blaschke sum and Minkowski sum of convex bodies. Further, we also obtain the Beckenbach-Dresher type inequalities of the mixed brightness-integrals combining the harmonic Blaschke sum and the harmonic radial sum of star bodies.
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Foundation item: Supported by the National Natural Science Foundation of China (11371224) and Foundation of Degree Dissertation of Master of China Three Gorges University (2013PY068)
Biography: ZHOU Yanping, female, Master candidate, research direction: convex geometric analysis.
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Zhou, Y., Wang, W. & Feng, Y. The Brunn-Minkowski type inequalities for mixed brightness-integrals. Wuhan Univ. J. Nat. Sci. 19, 277–282 (2014). https://doi.org/10.1007/s11859-014-1013-5
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DOI: https://doi.org/10.1007/s11859-014-1013-5