On operators of interpolation with respect to solutions of a Cauchy problem and Lagrange-Jacobi polynomials

DOI10.1070/IM2011v075n06ABEH002570zbMath1236.41003MaRDI QIDQ3116794

A. Yu. Trynin

Publication date: 12 February 2012

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

zbMATH Keywords

sampling theoremapproximation of functionsLagrange operatorsInterpolation processes

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Interpolation in approximation theory (41A05) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (10)

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 ⋮ On some properties of sinc approximations of continuous functions on the interval ⋮ Uniform convergence of Lagrange - Sturm - Liouville processes on one functional class ⋮ On the uniform approximation of functions of bounded variation by Lagrange interpolation polynomials with a matrix of Jacobi nodes ⋮ Sufficient conditions for convergence of generalized sinc-approximations on segment ⋮ 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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