| Title | ON TURAN'S INEQUALITY FOR ULTRASPHERICAL POLYNOMIALS |
| Publication Type | Journal Article |
| Year of Publication | 2013 |
| Authors | Nikolov G |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 101 |
| Keywords | Hermite interpolation formula, Turan-type inequalities, ultraspherical polynomials |
| Abstract | We present a short proof of the Turan inequality for the ultraspherical polynomials. The proof makes use of the Hermite interpolation formula. A recent renement of Turan's inequality for ultraspherical polynomials [8] is discussed and compared with the known results. |
| 2010 MSC | Primary 41A17, Secondary 33C45 |
| Attachment | Size |
|---|---|
 101-105-114.pdf | 212.18 KB |