An inverse of the running average operator for algebraic polynomials and its applications to shape preserving spline interpolation

• Vesselin Vatchev ^[1]
  1. [1] University of Texas at Brownsville

     University of Texas at Brownsville

     Estados Unidos

     
• Localización: Jaen journal on approximation, ISSN 1889-3066, ISSN-e 1989-7251, Vol. 4, Nº. 1, 2012, págs. 61-71
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • A method for constructing shape preserving spline interpolants of higher order is considered. The method uses the inverse of the running average operator for algebraic polynomials of degree n. The method is constructive and can supplement and extend to Hermite type interpolation the existing algorithms for shape preserving spline interpolation. Different cases for n less than 4 are considered in details.