On some extremal properties of algebraic polynomials

DOI10.1016/0021-9045(92)90048-SzbMath0783.41006OpenAlexW2020855749MaRDI QIDQ1185255

A. K. Varma

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-9045(92)90048-s

zbMATH Keywords

Chebyshev polynomial

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10)

Related Items

Orthogonal polynomials on the unit circle associated with the Laguerre polynomials ⋮ Quadrature formulae and polynomial inequalities ⋮ An extremal property of Hermite polynomials. ⋮ Sharp Markov-Nikol'skii inequality with respect to the uniform norm and the integral norm with Chebyshev weight ⋮ A weighted \(L^ 2\) Markoff type inequality for classical weights

Cites Work

• An extension of the Markov inequality
• Some new characterizations of the Chebyshev polynomials
• Turán Formulae and Highest Precision Quadrature Rules for Chebyshev Coefficients
• A Refinement of an Inequality of the Brothers Markoff
• Some Inequalities for Algebraic and Trigonometric Polynomials

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