A bivariate Markov inequality for Chebyshev polynomials of the second kind

DOI10.1016/j.jat.2011.07.001zbMath1238.41011OpenAlexW2075333214MaRDI QIDQ655447

Lawrence A. Harris

Publication date: 4 January 2012

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

Full work available at URL: https://doi.org/10.1016/j.jat.2011.07.001

zbMATH Keywords

multivariate Markov inequality

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63)

Cites Work

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• Some remarks on multivariate Chebyshev polynomials
• A proof of Markov's theorem for polynomials on Banach spaces
• Lagrange interpolation on Chebyshev points of two variables
• Duffin and Schaeffer type inequality for ultraspherical polynomials
• Multivariate Markov polynomial inequalities and Chebyshev nodes
• Bivariate Lagrange interpolation at the Chebyshev nodes
• Bounds for the derivatives of polynomials on centrally symmetric convex bodies
• Analogue of A. A. Markov's inequality for polynomials in two variables
• Construction of Algebraic Cubature Rules Using Polynomial Ideal Theory
• Some Elementary Inequalities for Polynomials

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