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

Author

Listed:
  • E. Berriochoa
  • A. Cachafeiro
  • J. Díaz
  • E. Martínez-Brey

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 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.

Suggested Citation

  • E. Berriochoa & A. Cachafeiro & J. Díaz & E. Martínez-Brey, 2013. "Rate of Convergence of Hermite-Fejér Interpolation on the Unit Circle," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-8, April.
    • Handle: RePEc:hin:jnljam:407128
    DOI: 10.1155/2013/407128
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