Abstract
We study the majorizing approximation properties of both Bernstein type operators and the corresponding Feller semigroups associated with a positive projection acting on the space of all continuous functions defined on a convex compact set.
The relationship between these properties and some generalized form of convexity is investigated as well.
Dedicated to Professor Giuseppe Mastroianni on the occasion of his 60th birthday
The contribution of the first author is due to work done under the auspices of the G.N.A.F.A (C.N.R) and partially supported by Ministero dell’ Università R.S.T. (Quote 60% and 40%). The work was carried out in Oct. 1997 while the second author was Visiting Professor at the University of Bari.
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Altomare, F., Rasa, I. (1999). Feller Semigroups, Bernstein type Operators and Generalized Convexity Associated with Positive Projections. In: Müller, M.W., Buhmann, M.D., Mache, D.H., Felten, M. (eds) New Developments in Approximation Theory. ISNM International Series of Numerical Mathematics, vol 132. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8696-3_1
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DOI: https://doi.org/10.1007/978-3-0348-8696-3_1
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