Convexity-preserving approximation by univariate cubic splines

• Xuli Han ^[1]
  1. [1] Central South University

     Central South University

     China

     
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 287, Nº 1 (15 October 2015), 2015, págs. 196-206
• Idioma: inglés
• DOI: 10.1016/j.cam.2015.03.051
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• Resumen

  • A convexity-preserving approximation method is presented. Similar to the cubic spline interpolation, the given approximation function is univariate cubic spline with C2 continuity. A very simple computing method is described. The approximation order and polynomial reproducing property of this convexity-preserving approximant are discussed. The computing method for interpolating a small quantity of data is given. Some numerical examples are given to show the effectivity.