The divergence of Lagrange interpolation processes in eigenfunctions of the Sturm-Liouville problem
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Publication:646815
DOI10.3103/S1066369X10110071zbMath1238.94020MaRDI QIDQ646815
Publication date: 18 November 2011
Published in: Russian Mathematics (Search for Journal in Brave)
Interpolation in approximation theory (41A05) Sampling theory in information and communication theory (94A20)
Related Items (12)
Lagrange-Sturm-Liouville processes ⋮ Approximation of continuous on a segment functions with the help of linear combinations of sincs ⋮ Sufficient condition for convergence of Lagrange-Sturm-Liouville processes in terms of one-sided modulus of continuity ⋮ Necessary and Sufficient Conditions for the Uniform on a Segment Sinc-approximations Functions of Bounded Variation ⋮ Error estimate for uniform approximation by Lagrange-Sturm-Liouville processes ⋮ A summation method for trigonometric Fourier series based on sinc-approximations ⋮ The Principle of Localization at the Class of Functions Integrable in the Riemann for the Processes of Lagrange –Sturm – Liouville ⋮ On some properties of sinc approximations of continuous functions on the interval ⋮ Uniform convergence of Lagrange - Sturm - Liouville processes on one functional class ⋮ A criterion of convergence of Lagrange-Sturm-Liouville processes in terms of one-sided module of variation ⋮ Convergence of the Lagrange-Sturm-Liouville Processes for Continuous Functions of Bounded Variation ⋮ On necessary and sufficient conditions for convergence of sinc-approximations
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