ON TURAN'S INEQUALITY FOR ULTRASPHERICAL POLYNOMIALS

Authors

  • Geno Nikolov

Keywords:

Hermite interpolation formula, Turan-type inequalities, ultraspherical polynomials

Abstract

We present a short proof of the Turán inequality for the ultraspherical polynomials. The proof makes use of the Hermite interpolation formula. A recent refinement of Turán's inequality for ultraspherical polynomials [8] is discussed and compared with the known results.

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Published

2013-12-12

Issue

Vol. 101 (2013): Ann. Sofia Univ. Fac. Math and Inf.

Section

Articles

How to Cite

ON TURAN’S INEQUALITY FOR ULTRASPHERICAL POLYNOMIALS. (2013). Annual of Sofia University St. Kliment Ohridski. Faculty of Mathematics and Informatics, 101, 105-114. https://annual.uni-sofia.bg/index.php/fmi/article/view/233