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.
Volume 130, 2020
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