A Mixed Symmetric Chernoff Type Inequality and Its Stability Properties

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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Bibliographic Details
Published inThe Journal of geometric analysis Vol. 31; no. 5; pp. 5418 - 5436
Main Author Zhang, Deyan
Format Journal Article
LanguageEnglish
Published New York Springer US 01.05.2021
Springer Nature B.V
Subjects
Abstract Harmonic Analysis
Convex and Discrete Geometry
Differential Geometry
Dynamical Systems and Ergodic Theory
Fourier Analysis
Geometry
Global Analysis and Analysis on Manifolds
Mathematics
Mathematics and Statistics
Stability
Wigner caustic
52A10
Chernoff type inequality
52A40
Stability
Order width
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Summary: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.
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-020-00485-0