Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627753 | Applied Mathematics and Computation | 2014 | 9 Pages |
Abstract
In this paper, we compare normalized Jensen functionals of two given convex functions defined on an interval of the real line. As applications, we give some valuable upper and lower bounds for the AGM inequality, which lead to some comparison results regarding Kullback-Leibler divergence and Shannon's entropy. Some applications in inner product spaces are also included.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jamal Rooin, Hossein Dehghan, Akram Alikhani,