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

How to Cite

Nikolov, G. (2013). ON TURAN’S INEQUALITY FOR ULTRASPHERICAL POLYNOMIALS. Ann. Sofia Univ. Fac. Math. And Inf., 101, 105–114. Retrieved from https://annual.uni-sofia.bg/index.php/fmi/article/view/233

Issue

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

Section

Articles