Weighted Markov‐type inequalities, norms of Volterra operators, and zeros of Bessel functions

DOI10.1002/mana.200810274zbMath1186.41004OpenAlexW1571513615MaRDI QIDQ5852027

Peter Dörfler, Albrecht Böttcher

Publication date: 26 January 2010

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200810274

zbMATH Keywords

orthogonal polynomialssingular valuesBessel functionVolterra integral operatorsMarkov-type inequality

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Approximation by polynomials (41A10) Volterra integral equations (45D05) Inequalities involving derivatives and differential and integral operators (26D10) Best constants in approximation theory (41A44)

Related Items (13)

Harold Widom’s work in Toeplitz operators ⋮ Sharp constants in weighted $L^2$-Markov inequalities ⋮ On the best constants in Markov-type inequalities involving Laguerre norms with different weights ⋮ On the L 2 Markov Inequality with Laguerre Weight ⋮ On the best constants in Markov inequalities for the Laplace operator on polynomials with the Hermite and Legendre norm ⋮ Stable reconstructions in Hilbert spaces and the resolution of the Gibbs phenomenon ⋮ My encounters with Harold Widom ⋮ Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries ⋮ The 𝔧‐eigenfunctions and s ‐numbers ⋮ On the Markov inequality in the \(L_2\)-norm with the Gegenbauer weight ⋮ Asymptotically sharp inequalities for polynomials involving mixed Laguerre norms ⋮ Inequalities of the Markov type for partial derivatives of polynomials in several variables ⋮ Recovering Piecewise Smooth Functions from Nonuniform Fourier Measurements

Cites Work

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• On The Eigenvalues of Certain Hermitian Operators
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• The Cauchy Transform on Bounded Domains
• Spectral Properties of Some Integral Operators Arising in Potential Theory
• Estimates for the Norm of the n th Indefinite Integral
• The Norm of Powers of the Indefinite Integral Operator on (0, 1)
• On the coefficients of differentiated expansions and derivatives of Jacobi polynomials
• Some L2 Markoff inequalities
• Extreme Eigenvalues of Translation Kernels
• Extreme Eigenvalues of N-Dimensional Convolution Operators
• Operator norms of powers of the Volterra operator

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