Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624457 | Advances in Applied Mathematics | 2017 | 18 Pages |
Abstract
A sharp multiple convolution inequality with respect to Dirichlet probability measure on the standard simplex is presented. Its discrete version in terms of the negative binomial coefficients is proved as well. The new bounds for the Dirichlet distribution and iterated convolutions are obtained as the consequences of the main result. Also some binomial, exponential, and generalized hypergeometric applications are discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Arcadii Z. Grinshpan,