Markov-Duffin-Schaeffer Inequality for Polynomials With a Circular Majorant

DOI10.2307/2000986zbMath0707.26011OpenAlexW4241137733MaRDI QIDQ3488349

Qazi Ibadur Rahman, Gerhard Schmeisser

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2000986

zbMATH Keywords

interpolationChebyshev polynomial of the second kindChebyshev polynomial of the first kindcircular majorantextension of Markov's inequalityMarkov-Duffin-Schaeffer inequality

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Inequalities for trigonometric functions and polynomials (26D05) Polynomials and rational functions of one complex variable (30C10) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (5)

Quadrature formulae and polynomial inequalities ⋮ An extremal property of Hermite polynomials. ⋮ Polynomials with a parabolic majorant and the Duffin-Schaeffer inequality ⋮ On the behavior of Gegenbauer polynomials in the complex plane ⋮ On certain Duffin and Schaeffer type inequalities

Cites Work

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• Zur Konvergenz der Ableitungen von Interpolationspolynomen
• Auswertung der Normen von Interpolationsoperatoren
• The Markoff-Duffin-Schaeffer inequalities abstracted
• On a Problem of Turán about Polynomials II
• Optimally Stable Lagrangian Numerical Differentiation
• On a Problem of Turan About Polynomials
• On a Problem of Turan About Polynomials with Curved Majorants
• On some inequalities of S. Bernstein and W. Markoff for derivatives of polynomials
• A Refinement of an Inequality of the Brothers Markoff

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