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Convergence and summability of cardinal sine series

  • B. A. Bailey [1] ; W. R. Madych [1]
    1. [1] University of Connecticut

      University of Connecticut

      Town of Mansfield, Estados Unidos

  • Localización: Jaen journal on approximation, ISSN 1889-3066, ISSN-e 1989-7251, Vol. 10, Nº. 1-2, 2018, págs. 49-72
  • Idioma: inglés
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • We consider a class of summability methods for the classical cardinal sine series that are related to the Bernstein-Boas representation of entire functions of exponential type less than π. We provide conditions that ensure regularity of the methods, prove a Tauberian type theorem, and give an example of a function in the Bernstein class Bπ whose samples do not give rise to a convergent cardinal sine series and are not summable via the methods that are considered here.


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