Inequalities for ultraspherical polynomials. Proof of a conjecture of I. Raşa

DOI10.1016/j.jmaa.2014.04.022zbMath1305.41017arXiv1402.6539OpenAlexW2963943393WikidataQ123092285 ScholiaQ123092285MaRDI QIDQ488529

Geno Nikolov

Publication date: 26 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6539

zbMATH Keywords

Bernstein polynomialsLegendre polynomialsultraspherical polynomials

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (13)

Complete monotonicity and zeros of sums of squared Baskakov functions ⋮ Functional equations related to Appell polynomials and Heun functions ⋮ Information potential for some probability density functions ⋮ On a new sequence of positive linear operators related to squared Bernstein polynomials ⋮ On a combinatorial identity of Gavrea and Ivan and related results ⋮ Complete monotonicity of some entropies ⋮ An answer to an open problem on the multivariate Bernstein polynomials on a simplex ⋮ Entropies and Heun functions associated with positive linear operators ⋮ Convexity properties of some entropies ⋮ Convexity properties of some entropies. II ⋮ Remarks on a convexity theorem of Raşa ⋮ Voronovskaya theorem for a sequence of positive linear operators related to squared Bernstein polynomials ⋮ Voronovskaja type theorems for positive linear operators related to squared Bernstein polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Sharp bounds for the extreme zeros of classical orthogonal polynomials
• Upper bounds for the zeros of ultraspherical polynomials
• Chebyshev-Gr\"{u}ss-type inequalities via discrete oscillations

This page was built for publication: Inequalities for ultraspherical polynomials. Proof of a conjecture of I. Raşa