A criterion for the uniform convergence of sinc-approximations on a segment
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Publication:954163
DOI10.3103/S1066369X08060078zbMath1210.42003OpenAlexW2096666487MaRDI QIDQ954163
Publication date: 10 November 2008
Published in: Russian Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s1066369x08060078
convergenceLagrange interpolationsinc approximationcardinal functioninterpolation processcriterion of the uniform convergence
Related Items (17)
Lagrange-Sturm-Liouville processes ⋮ Accurate function sinc interpolation and derivative estimations over finite intervals ⋮ 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 ⋮ On a method for solving a mixed boundary value problem for a parabolic equation using modified sinc-approximation operators ⋮ 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 divergence of Lagrange interpolation processes in eigenfunctions of the Sturm-Liouville problem ⋮ 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 ⋮ On divergence of sinc-approximations everywhere on $(0,\pi)$ ⋮ 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 ⋮ Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels
Cites Work
- Uniform convergence of Lagrange interpolation processes
- Approximations via Whittaker's cardinal function
- A sampling theorem with nonuniform complex nodes
- Irregular sampling of bandlimited \(L^ p\)-functions
- On Lagrange Interpolation and Kramer-Type Sampling Theorems Associated with Sturm–Liouville Problems
- An Irregular Sampling Theorem for Functions Bandlimited in a Generalized Sense
- Sampling theorems and the contour integral method
- A sampling theorem for irregularly spaced sample points (Corresp.)
- Замечания ОБ Интерполировании
- An Analytic Function Which is an Approximate Characteristic Function
- A Generalized Sampling Theorem
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