On new generalizations of Hilbert's inequality and their applications (Q1977787)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On new generalizations of Hilbert's inequality and their applications |
scientific article; zbMATH DE number 1449175
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On new generalizations of Hilbert's inequality and their applications |
scientific article; zbMATH DE number 1449175 |
Statements
On new generalizations of Hilbert's inequality and their applications (English)
0 references
3 September 2001
0 references
Inequalities for a general series of type \(\sum^{+\infty}_{m=0} \sum^{+\infty}_{n=0} K(m+ t,n+t) a_mb_n\) are proved. For particular \(K\), the authors obtain refinements of certain inequalities related to Hilbert's inequality, due, e.g., to Hardy-Littlewood-Pólya, M. Z. Gao or J. W. S. Cassels, etc.
0 references
Hilbert inequality
0 references
Euler-Maclaurin summation formula
0 references
beta function
0 references
