On a theorem by Bojanov and Naidenov applied to families of Gegenbauer-Sobolev polynomials

zbMath1321.33014arXiv1403.6927MaRDI QIDQ2517019

Yamilet Qintana, Dilcia Pérez, Vanessa Paschoa

Publication date: 13 August 2015

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.6927

zbMATH Keywords

orthogonal polynomialsSobolev orthogonal polynomialsextremal propertiesGegenbauer-Sobolev polynomialsoscillating polynomials

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)

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Generalized Mixed Type Bernoulli-Gegenbauer Polynomials

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