Abstract
Based on the \((q,\phi )\)-dual Orlicz mixed volume which was introduced by Gardner et al., we pose a new concept called \((q,\phi )\)-dual Orlicz mixed affine surface areas, whose special case is just \(L_p\) dual affine surface areas. Further, some related inequalities involving product inequality, cyclic inequality and Brunn–Minkowski inequality are established, respectively.
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Research is supported in part by the Research Fund for Excellent Dissertation of China Three Gorges University (Grant No. 2018SSPY133), the National Natural Science Foundation of China (Grant No. 11371224), the funds of the Basic and Advanced Research Project of CQ CSTC (cstc2015jcyjA00009) and Scientific and Technological Research Program of Chongqing Municipal Education Commission (KJ1500628).
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Li, H., Lin, Y. & Wang, W. The \(({\varvec{q}},\varvec{\phi })\)-Dual Orlicz Mixed Affine Surface Areas. Results Math 73, 131 (2018). https://doi.org/10.1007/s00025-018-0893-7
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DOI: https://doi.org/10.1007/s00025-018-0893-7