A survey on mean convergence of interpolatory processes
From MaRDI portal
Publication:1195719
DOI10.1016/0377-0427(92)90256-WzbMath0761.41004MaRDI QIDQ1195719
Péter Vértesi, József Szabados
Publication date: 18 January 1993
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Related Items (18)
Quadrature sums and Lagrange interpolation for general exponential weights ⋮ On the asymptotic constant for the rate of Hermite-Fejér convergence on Chebyshev nodes ⋮ On mean convergence of Hermite-Fejér interpolation ⋮ Mean convergence of Hermite interpolation revisited ⋮ Mean convergence of interpolatory processes on an arbitrary system of nodes ⋮ Algorithms for solving Hermite interpolation problems using the fast Fourier transform ⋮ On weighted mean convergence of Lagrange interpolation for general arrays ⋮ Marcinkiewicz-Zygmund inequalities and the numerical approximation of singular integrals for exponential weights: Methods, results and open problems, some new, some old ⋮ Mean Convergence of Interpolation at Zeros of Airy Functions ⋮ THE SIMULTANEOUS APPROXIMATION OF QUASI-HERMITE INTERPOLATION ON THE WEIGHTED MEAN NORM ⋮ A note on Hermite-Fejér interpolation for the unit circle ⋮ In memoriam Paul Erdős (1913-1996) ⋮ Mean convergence of truncated Hermite interpolation on an arbitrary system of nodes ⋮ Mean convergence rate of derivatives by Lagrange interpolation on Chebyshev grids ⋮ On boundedness of Lagrange interpolation in \(L_p\), \(p<1\) ⋮ On mean convergence of Lagrange interpolation for general arrays ⋮ On Grünwald interpolation ⋮ Convergence of Lagrange interpolation processes based on a new systems of nodes
Cites Work
- Hilbert transforms and Lagrange interpolation
- Hermite-Fejér interpolations of higher order. I
- Solution of Turán's problem on divergence of Lagrange interpolation in \(L^ p\) with \(p>2\)
- Mean convergence of Hermite-Fejér interpolation
- Divergence of trigonometric lacunary interpolation
- On an open problem of P. Turán concerning Birkhoff interpolation based on the roots of unity
- Necessary conditions for weighted mean convergence of Fourier series in orthogonal polynomials
- Géza Freud, orthogonal polynomials and Christoffel functions. A case study
- On some open problems of approximation theory
- Mean convergence of derivates of Lagrange interpolation
- Some good point systems for derivatives of Lagrange interpolatory operators
- Hermite and Hermite-Fejér interpolations of higher order. II: Mean convergence
- On higher order Hermite-Fejér interpolation in weighted \(L_ p\)- metric
- On the \(L^ p\) convergence of Lagrange interpolating entire functions of exponential type
- On the order of magnitude of fundamental polynomials of Hermite interpolation
- Interpolation and simultaneous mean convergence of derivatives
- Mean convergence of generalized Jacobi series and interpolating polynomials. I
- Mean convergence of Birkhoff interpolation based on the roots of unity: A problem of P. Turán
- Approximation in the mean by Lagrange interpolation polynomials in the complex plane
- Convergence of complex Lagrange interpolation polynomials on the locus of the interpolation points
- Über Approximationseigenschaften differenzierter Lagrangescher Interpolationspolynome mit Jacobischen Abszissen
- A class of orthogonal polynomials
- On the convergence of rational functions which interpolate in the roots of unity
- Necessary conditions for mean convergence of Lagrange interpolation on an arbitrary system of nodes
- Mean Convergence and Interpolation in Roots of Unity
- Summability of Jacobi Series
- On sums of Lebesgue function type
- ON THE CONVERGENCE OF THE DERIVATIVES OF PROJECTION OPERATORS
- Complex Interpolating Polynomials
- On the almost everywhere divergence of Lagrange interpolatory polynomials for arbitrary system of nodes
- On Lagrange Interpolation at Disturbed Roots of Unity
- CONVERGENCE IN THE MEAN AND ALMOST EVERYWHERE OF FOURIER SERIES IN POLYNOMIALS ORTHOGONAL ON AN INTERVAL
- Mean Convergence of Derivatives of Extended Lagrange Interpolation with Additional Nodes
- Mean convergence of orthogonal series and Lagrange interpolation
- Sur l'interpolation (I)
- On Trigonometric Interpolation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A survey on mean convergence of interpolatory processes