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On oscillating polynomials

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Publication:606679
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DOI10.1016/j.jat.2010.04.009zbMath1206.33013OpenAlexW1989051326MaRDI QIDQ606679

Nikola Naidenov, Borislav D. Bojanov

Publication date: 18 November 2010

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2010.04.009


zbMATH Keywords

orthogonal polynomialscritical pointsMarkov's inequalityZolotarev polynomialsmaximal derivativeTikhonov 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) Approximate quadratures (41A55) Orthogonal polynomials and functions associated with root systems (33C52)


Related Items

On the Largest Critical Value of $T_n^(k)$



Cites Work

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  • A generalization of Chebyshev polynomials
  • An extension of an inequality of Duffin and Schaeffer
  • On certain extremal problems for polynomials
  • Über Polynome mit nur reellen Nullstellen der Ableitung
  • On a problem of I. Schur
  • Inequalities of Duffin--Schaeffer Type
  • A Refinement of an Inequality of the Brothers Markoff
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