Isoperimetric and Brunn-Minkowski inequalities for the (<i>p</i>, <i>q</i>)-mixed geominimal surface areas
Isoperimetric and Brunn-Minkowski inequalities for the (<i>p</i>, <i>q</i>)-mixed geominimal surface areas
Abstract Motivated by the celebrated work of Lutwak, Yang and Zhang [1] on <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:mi>p</m:mi> <m:mo>,</m:mo> <m:mi>q</m:mi> </m:mrow> <m:mo>)</m:mo> </m:mrow> </m:math> \left(p,q) -mixed volumes and that of Feng and He [2] on <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:mi>p</m:mi> <m:mo>,</m:mo> <m:mi>q</m:mi> </m:mrow> <m:mo>)</m:mo> </m:mrow> </m:math> \left(p,q) -mixed …