Weighted uniform convergence of entire Grünwald operators on the real line

DOI10.1007/s40315-021-00408-2OpenAlexW3185214884MaRDI QIDQ2100142

Friedrich Littmann, Mark Spanier

Publication date: 21 November 2022

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.09910

zbMATH Keywords

Grünwald operatorHermite-Fejér interpolationde Branges spaceexponential typeweighted uniform approximation

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Interpolation in approximation theory (41A05) Moment problems and interpolation problems in the complex plane (30E05)

Cites Work

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• Estimates of the \(L^p\)-norms of derivatives in spaces of entire functions
• Hermite and Hermite-Fejér interpolation and associated product integration rules on the real line: The \(L_ \infty\) theory
• Weighted Lagrange and Hermite-Fejér interpolation on the real line
• Weighted Hermite-Fejér interpolation on the real line: \(L_{\infty}\) case
• Interpolation formulas with derivatives in de Branges spaces
• Finiteness of 2-reflective lattices of signature (2,n)
• A Miniature Theory in Illustration of the Convolution Transform
• Weighted interpolation: the \(L_{\infty}\) theory. I

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