Summability of Lagrange type interpolation series

2001 ◽  
Vol 84 (1) ◽  
pp. 207-229 ◽  
Author(s):  
W. R. Madych
Keyword(s):  
Type Interpolation ◽  
Interpolation Series ◽  
Lagrange Type Interpolation

scholarly journals The Zero-Removing Property and Lagrange-Type Interpolation Series

2011 ◽  
Vol 32 (8) ◽  
pp. 858-876 ◽  
Author(s):  
P. E. Fernàndez-Moncada ◽  
A. G. García ◽  
M. A. Hernández-Medina
Keyword(s):  
Type Interpolation ◽  
Interpolation Series ◽  
Lagrange Type Interpolation

scholarly journals Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces

2013 ◽  
Vol 58 (1) ◽  
pp. 79-97 ◽  
Author(s):  
Antonio G. García ◽  
Miguel A. Hernández-Medina ◽  
Franciszek Hugon Szafraniec
Keyword(s):  
De Branges Spaces ◽  
Type Interpolation ◽  
Interpolation Series ◽  
Lagrange Type Interpolation

On Lagrange-Type Interpolation Series and Analytic Kramer Kernels

2008 ◽  
Vol 51 (3-4) ◽  
pp. 215-228 ◽  
Author(s):  
W. Norrie Everitt ◽  
Antonio G. García ◽  
Miguel Angel Hernández-Medina
Keyword(s):  
Type Interpolation ◽  
Interpolation Series ◽  
Lagrange Type Interpolation

Approximation with exact Lagrange-type interpolation

1988 ◽  
Vol 23 (2) ◽  
pp. 14-15
Author(s):  
C. Dunham ◽  
Z. Zhu
Keyword(s):  
Type Interpolation ◽  
Lagrange Type Interpolation

scholarly journals On Hermite-Fejér type interpolation on the Chebyshev nodes

1993 ◽  
Vol 47 (1) ◽  
pp. 13-24 ◽  
Author(s):  
Graeme J. Byrne ◽  
T.M. Mills ◽  
Simon J. Smith
Keyword(s):  
Approximation Error ◽  
Interpolation Polynomial ◽  
Precise Estimate ◽  
Type Interpolation ◽  
Interpolation Methods ◽  
Chebyshev Nodes ◽  
Interpolatory Process

Given f ∈ C [−1, 1], let Hn, 3(f, x) denote the (0,1,2) Hermite-Fejér interpolation polynomial of f based on the Chebyshev nodes. In this paper we develop a precise estimate for the magnitude of the approximation error |Hn, 3(f, x) − f(x)|. Further, we demonstrate a method of combining the divergent Lagrange and (0,1,2) interpolation methods on the Chebyshev nodes to obtain a convergent rational interpolatory process.

Some arithmetical applications of Newton´s interpolation series

Analysis ◽  
2012 ◽  
Vol 32 (1) ◽  
pp. 67-83
Author(s):  
Peter Bundschuh ◽  
Rolf Wallisser
Keyword(s):  
Interpolation Series
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