Two sharp Chernoff type inequalities are derived for star bodies in $\mathbb{R}^2$, one is an extension of the dual Chernoff-Ou-Pan inequality, and the other is the reverse Chernoff type inequality. Furthermore, we establish a generalized dual symmetric mixed Chernoff inequality for two planar star bodies. As a direct consequence, a new proof of the dual symmetric mixed isoperimetric inequality is presented.
Yuqi ZHOU
,
Chunna ZENG
. ON SOME SHARP CHERNOFF TYPE INEQUALITIES[J]. Acta mathematica scientia, Series B, 2025
, 45(2)
: 540
-552
.
DOI: 10.1007/s10473-025-0215-6
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