Markoff type inequalities for curved majorants in the weighted \(L^ 2\) norm

DOI10.1007/BF01844423zbMath0781.26010MaRDI QIDQ2366034

A. K. Varma

Publication date: 29 June 1993

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137505

zbMATH Keywords

Chebyshev polynomialalgebraic polynomialTurán's problemMarkov type inequalities\(L^ 2\)-norm

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (3)

Extremal properties of derivative of algebraic polynomials ⋮ Quadrature formulae and polynomial inequalities ⋮ Sharp Markov-Nikol'skii inequality with respect to the uniform norm and the integral norm with Chebyshev weight

Cites Work

• Unnamed Item
• An extension of the Markov inequality
• Inequalities for trigonometric polynomials
• On some generalizations of a theorem of A. Markoff
• Comments on an L 2 Inequality of A. K. Varma Involving the First Derivative of Polynomials
• On a Problem of Turán about Polynomials II
• Coefficient and Integral Mean Estimates for Algebraic and Trigonometric Polynomials with Restricted Zeros

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