ON TURAN'S INEQUALITY FOR ULTRASPHERICAL POLYNOMIALS

ЗаглавиеON TURAN'S INEQUALITY FOR ULTRASPHERICAL POLYNOMIALS
Вид публикацияJournal Article
Година на публикуване2013
АвториNikolov G
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том101
ключови думиHermite interpolation formula, Turan-type inequalities, ultraspherical polynomials
Резюме

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

Прикачен файлРазмер
PDF icon 101-105-114.pdf212.18 KB