Refinement of some moment inequalities
Abstract
In this paper we give refinements of some convex and log-convex moment inequalities of the first and second order using a special kind of positive semi-definite form. An open problem concerning eight parameter refinement of second order is also stated with some applications in Information Theory.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2015
- DOI:
- 10.48550/arXiv.1509.08519
- arXiv:
- arXiv:1509.08519
- Bibcode:
- 2015arXiv150908519S
- Keywords:
-
- Computer Science - Information Theory;
- Mathematics - Probability;
- 60E15