On the behavior of Gegenbauer polynomials in the complex plane

DOI10.1007/s00025-012-0284-4zbMath1267.30015OpenAlexW2077033412MaRDI QIDQ1759053

Xianqiang Yang

Publication date: 19 November 2012

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-012-0284-4

zbMATH Keywords

Gegenbauer polynomialsMarkov inequalityJensen inequalitiesDuffin and Schaeffer type inequalities

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Polynomials and rational functions of one complex variable (30C10) Inequalities in the complex plane (30A10)

Related Items (1)

Proof of a conjecture of M. Patrick concerning Jacobi polynomials

Cites Work

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• Necessary and sufficient conditions and the Riemann hypothesis
• Polynomials with a parabolic majorant and the Duffin-Schaeffer inequality
• On certain Duffin and Schaeffer type inequalities
• On the inequality of I. Schur
• An extension of an inequality of Duffin and Schaeffer
• Duffin and Schaeffer type inequality for ultraspherical polynomials
• An inequality for polynomials with elliptic majorant
• Extensions of inequalities of the Laguerre and Turan type
• Inequalities of Duffin--Schaeffer Type
• Markov-Duffin-Schaeffer Inequality for Polynomials With a Circular Majorant
• An extension of an inequality of I. Schur
• Some Inequalities Concerning Jacobi Polynomials

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