Inequalities of the Markov type for partial derivatives of polynomials in several variables

DOI10.1216/JIE-2011-23-1-1zbMath1221.41006OpenAlexW1976423739MaRDI QIDQ548790

Peter Dörfler, Albrecht Böttcher

Publication date: 30 June 2011

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jie-2011-23-1-1

zbMATH Keywords

orthogonal polynomialsVolterra integral operatorsMarkov-type inequalitypolynomials of several variables

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by polynomials (41A10)

Related Items (3)

On the constants in Markov inequalities for the Laplace operator on polynomials with the Laguerre norm ⋮ On the best constants in Markov inequalities for the Laplace operator on polynomials with the Hermite and Legendre norm ⋮ Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries

Cites Work

• A Markov type inequality for higher derivatives of polynomials
• On the best constants in inequalities of the Markov and Wirtinger types for polynomials on the half-line
• Introduction to large truncated Toeplitz matrices
• Markov and Bernstein type inequalities for polynomials
• Norms of powers of the Volterra operator
• Asymptotics of the best constant in a certain Markov-type inequality
• On the exact constant in the \(L_2\) Markov inequality
• An inequality of E. Schmidt
• On some generalizations of a theorem of A. Markoff
• Über die nebst ihren Ableitungen orthogonalen Polynomensysteme und das zugehörige Extremum
• On The Eigenvalues of Certain Hermitian Operators
• The norm of the Riemann-Liouville operator on L ^p [0,1: a probabilistic approach]
• Best constants in norm inequalities for derivatives on a half-line
• New Inequalities of Markov Type
• Estimates for the Norm of the n th Indefinite Integral
• The Norm of Powers of the Indefinite Integral Operator on (0, 1)
• Some L2 Markoff inequalities
• Extreme Eigenvalues of Translation Kernels
• Extreme Eigenvalues of N-Dimensional Convolution Operators
• Weighted Markov‐type inequalities, norms of Volterra operators, and zeros of Bessel functions
• Operator norms of powers of the Volterra operator
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