Further inequalities and properties of p-inner parallel bodies
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Abstract A. R. Martínez Fernández obtained upper bounds for quermassintegrals of the p-inner parallel bodies: an extension of the classical inner parallel body to the $L_p$ -Brunn-Minkowski theory. In this paper, we establish (sharp) upper and lower bounds for quermassintegrals of p-inner parallel bodies. Moreover, the sufficient and necessary conditions of the equality case for the main inequality are obtained, which characterize the so-called tangential bodies.
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1967 ◽
Vol 9
(2)
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pp. 149-156
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2004 ◽
Vol 14
(03)
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pp. 203-225
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2021 ◽
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