Global smoothness preservation by singular integrals

• Anastassiou, George A. ^[1]
  1. [1] Memphis State University.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 14, Nº. 2, 1995, págs. 83-88
• Idioma: inglés
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• Resumen

  • Here is established that the well-known singular integrals of Picard, Poisson-Cauchy and Gauss- Weierstrass fulfill the "global smoothness preservation" property. J. e., they "ripple" less than the function they are applied on, that is producing a nice approximation to the unit. The associated inequalities are sharp.