Integral-type operators on continuous function spaces on the real line

• Autores: Francesco Altomare, Sabina Milella
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 152, Nº 2, 2008, págs. 107-124
• Idioma: inglés
• DOI: 10.1016/j.jat.2007.11.002
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• Resumen

  • In this paper we introduce some new sequences of positive linear operators, acting on a sufficiently large space of continuous functions on the real line, which generalize Gauss�Weierstrass operators.

    We study their approximation properties and prove an asymptotic formula that relates such operators to a second order elliptic differential operator of the form Luau''+ßu'+?u.

    Shape-preserving and regularity properties are also investigated.