Rate of Convergence of Hermite-Fejér Interpolation on the Unit Circle

E. Berriochoa, A. Cachafeiro, J. Díaz, E. Martínez-Brey

Type: Article

Publication Date: 2013-01-01

Citations: 5

DOI: https://doi.org/10.1155/2013/407128

Abstract

The paper deals with the order of convergence of the Laurent polynomials of Hermite-Fejér interpolation on the unit circle with nodal system, the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:math>roots of a complex number with modulus one. The supremum norm of the error of interpolation is obtained for analytic functions as well as the corresponding asymptotic constants.

Locations

Journal of Applied Mathematics - View - PDF
Project Euclid (Cornell University) - View - PDF
DOAJ (DOAJ: Directory of Open Access Journals) - View

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Works Cited by This (7)

Action	Title	Year	Authors
+ PDF Chat	A note on the summation of Chebyshev series	1955	C. W. Clenshaw
+	An Extension of Fejér’s Condition for Hermite Interpolation	2011	E. Berriochoa A. Cachafeiro J. García-Amor
+	Algorithms for solving Hermite interpolation problems using the Fast Fourier Transform	2009	E. Berriochoa A. Cachafeiro
+	A note on hermite-fejér interpolation for the unit circle	2001	Leyla Daruis Pablo González-Vera
+	The Chebyshev polynomials	1974	T. J. Rivlin
+	Some improvements to the Hermite–Fejér interpolation on the circle and bounded interval	2011	E. Berriochoa A. Cachafeiro E. Martínez Brey
+	Mathematical Tables and Other Aids to Computation.	1946	Kenneth J. Arnold National Research Council Raymond Clare Achibald D. H. Lehmer L. J. Comrie Solomon Achillovich Joffe