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The Petty Projection Inequality for L p -Mixed Projection Bodies

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Abstract

Recently, Lutwak, Yang and Zhang posed the notion of L p -projection body and established the L p -analog of the Petty projection inequality. In this paper, the notion of L p -mixed projection body is introduced—the L p -projection body being a special case. The Petty projection inequality, as well as Lutwak's quermassintegrals (L p -mixed quermassintegrals) extension of the Petty projection inequality, is established for L p -mixed projection body.

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Authors and Affiliations

  1. Department of Mathematics, Hubei Institute for Nationalities, Enshi, 445000, P. R. China

    Wei Dong Wang

  2. Department of Mathematics, Shanghai University, Shanghai, 200436, P. R. China

    Wei Dong Wang

  3. Department of Mathematics, Shanghai University, Shanghai, 200436, P. R. China

    Gang Song Leng

Authors
  1. Wei Dong Wang
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  2. Gang Song Leng
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Correspondence to Wei Dong Wang.

Additional information

Research supported in part by the Natural Science Foundation of China (Grant No. 10671117) and Academic Mainstay Foundation of Hubei Province of China (Grant No. 2003A005)

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Wang, W.D., Leng, G.S. The Petty Projection Inequality for L p -Mixed Projection Bodies. Acta Math Sinica 23, 1485–1494 (2007). https://doi.org/10.1007/s10114-005-0894-9

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  • DOI: https://doi.org/10.1007/s10114-005-0894-9

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