Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613849 | Journal of Mathematical Analysis and Applications | 2017 | 15 Pages |
Abstract
During the Conference on Ulam's Type Stability (Rytro, Poland, 2014), Ioan Raşa recalled his 25-years-old problem concerning some inequality involving the Bernstein polynomials. We offer the complete solution (in positive). As a tool we use stochastic orderings (which we prove for binomial distributions) as well as so-called concentration inequality. Our methods allow us to pose (and solve) the extended version of the problem in question.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jacek Mrowiec, Teresa Rajba, Szymon Wąsowicz,