Abstract
Lutwak introduced the harmonic Blaschke combination and the harmonic Blaschke body of a star body. Further, Feng and Wang introduced the concept of the L p -harmonic Blaschke body of a star body. In this paper, we define the notion of general L p -harmonic Blaschke bodies and establish some of its properties. In particular, we obtain the extreme values concerning the volume and the L p -dual geominimal surface area of this new notion.
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Acknowledgements
The authors would like to thank the anonymous referee for very valuable and helpful comments and suggestions which made the paper more accurate and readable.
This research is supported in part by the Natural Science Foundation of China (Grant No. 11371224) and Innovation Foundation of Graduate Student of China, Three Gorges University (Grant No. 2012CX075).
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FENG, Y., WANG, W. General L p -harmonic Blaschke bodies. Proc Math Sci 124, 109–119 (2014). https://doi.org/10.1007/s12044-013-0158-z
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DOI: https://doi.org/10.1007/s12044-013-0158-z