Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899868 | Journal of Mathematical Analysis and Applications | 2018 | 17 Pages |
Abstract
We show that a measure on the real line, that is the image of a log-concave measure under a polynomial of degree d, possesses a density from the Nikolskii-Besov class of fractional order 1/d. This result is used to prove an estimate for the total variation distance between such measures in terms of the Fortet-Mourier distance.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Egor D. Kosov,