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

E. Berriochoa | Zendy; A. Cachafeiro | Zendy; J. Díaz | Zendy; E. Martínez-Brey | Zendy

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

Author(s) -

E. Berriochoa,

A. Cachafeiro,

J. Díaz,

E. Martínez-Brey

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/407128

Subject(s) - infimum and supremum , unit circle , mathematics , hermite interpolation , interpolation (computer graphics) , norm (philosophy) , hermite polynomials , uniform norm , rate of convergence , modulus of continuity , convergence (economics) , pure mathematics , mathematical analysis , computer science , type (biology) , animation , computer network , channel (broadcasting) , ecology , computer graphics (images) , law , economics , biology , economic growth , political science

The paper deals with the order of convergence of the Laurent polynomials of Hermite-Fejér interpolation on the unit circle with nodal system, the n 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

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