On Some Classes of Diffusion Equations and Related Approximation Problems

  • Francesco Altomare
  • Ioan Rasa
Conference paper
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 151)

Abstract

Of concern is a class of second-order differential operators on the unit interval. The C0-semigroup generated by them is approximated by iterates of positive linear operators that are introduced here as a modification of Bernstein operators. Finally, the corresponding stochastic differential equations are also investigated, leading, in particular to the evaluation of the asymptotic behaviour of the semigroup.

Keywords

Approximation Theory Bernstein Polynomial Positive Linear Operator Bernstein Operator Convex Continuous Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2005

Authors and Affiliations

  • Francesco Altomare
    • 1
  • Ioan Rasa
    • 2
  1. 1.Department of MathematicsUniversity of BariBariItaly
  2. 2.Department of MathematicsTechnical University of Cluj-NapocaCluj-NapocaRomania

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