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

Francesco Altomare, Sabina Milella

• 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.