( p , q )-John Ellipsoids

As an extension of the classical John ellipsoid and the $$L_{p}$$ -John ellipsoids due to Lutwak–Yang–Zhang, this paper studies (p, q)-John ellipsoids. We consider an optimization problem about the (p, q)-mixed volumes, whose solution is uniquely existed for all $$0

Keywords:

• Isotropy
• John ellipsoid
• Pure mathematics
• Fourier analysis
• Mathematics
• Differential geometry
• Optimization problem
• Ellipsoid

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