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A Mixed Symmetric Chernoff Type Inequality and Its Stability Properties

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Abstract

A mixed symmetric Chernoff type inequality for two convex domains can be proved, furthermore its stability properties can also be obtained in the Hausdorff and \(L_2\) metrics, respectively.

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Acknowledgements

The author would like to thank the referees for their suggestions. The author would also like to thank Professor Shengliang Pan for useful discussions.

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Correspondence to Deyan Zhang.

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This work is supported by the National Natural Science Foundation of China (No. 11671298), Natural Science Foundation of Anhui Province (No. 1908085MA05) and University Natural Science Research Project of Anhui Province (No. KJ2019A0590).

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Zhang, D. A Mixed Symmetric Chernoff Type Inequality and Its Stability Properties. J Geom Anal 31, 5418–5436 (2021). https://doi.org/10.1007/s12220-020-00485-0

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