Higher order lacunary interpolation

• Autores: Giovanna Pittaluga, Laura Sacripante, Ezio Venturino
• Localización: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum, ISSN 1130-4723, Vol. 9, Nº. 1, 1997, págs. 15-22
• Idioma: inglés
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• Resumen

  • A generalization of a previously analyzed lacunary interpolation problem is considered. We prove the unconditional solvability of the problem, using elements in an appropriate class of "defi cient" splines. Also, the error analysis presented here sharpens the estimates obtained in the earlier study. Moreover the convergence rates obtained here are shown to be optimal