A criterion of convergence of Lagrange-Sturm-Liouville processes in terms of one-sided module of variation

DOI10.3103/S1066369X1808008XzbMath1400.41004OpenAlexW2882987356MaRDI QIDQ1792512

A. Yu. Trynin

Publication date: 12 October 2018

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x1808008x

zbMATH Keywords

uniform approximationsinc approximationinterpolation of functionsLagrange-Sturm-Liouville processes

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Interpolation in approximation theory (41A05)

Related Items (4)

Lagrange-Sturm-Liouville processes ⋮ Error estimate for uniform approximation by Lagrange-Sturm-Liouville processes ⋮ The Principle of Localization at the Class of Functions Integrable in the Riemann for the Processes of Lagrange –Sturm – Liouville ⋮ Sufficient conditions for convergence of generalized sinc-approximations on segment

Uses Software

• Chebfun

Cites Work

• Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels
• The divergence of Lagrange interpolation processes in eigenfunctions of the Sturm-Liouville problem
• Absence of stability of interpolation with respect to eigenfunctions of the Sturm-Liouville problem
• Sinc approximation of eigenvalues of Sturm-Liouville problems with a Gaussian multiplier
• On a class of summability methods for multiple Fourier series
• MuST: The Multilevel Sinc Transform
• A Sinc Function Analogue of Chebfun
• Basic wavelet theory
• A generalization of the Whittaker-Kotel'nikov-Shannon sampling theorem for continuous functions on a closed interval
• Tests for pointwise and uniform convergence of sinc approximations of continuous functions on a closed interval
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