General 𝐿𝑝-harmonic Blaschke bodies; 𝐿𝑝-harmonic Blaschke bodies; extreme values.
Lutwak introduced the harmonic Blaschke combination and the harmonic Blaschke body of a star body. Further, Feng and Wang introduced the concept of the 𝐿𝑝-harmonic Blaschke body of a star body. In this paper, we define the notion of general 𝐿𝑝-harmonic Blaschke bodies and establish some of its properties. In particular, we obtain the extreme values concerning the volume and the 𝐿𝑝-dual geominimal surface area of this new notion.