On some convergence criteria for nets of positive operators on continuous function spaces

DOI10.1016/j.jmaa.2012.09.010zbMath1275.41028OpenAlexW1963713121MaRDI QIDQ695107

Francesco Altomare

Publication date: 20 December 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.09.010

zbMATH Keywords

Choquet boundaryinterpolation setBernstein-Schnabl operatorCesáro operatoriterate of Markov operatornet of positive operatorspositive projection

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by positive operators (41A36)

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On the iterates of Jackson type operator \(G_{s,n}\) ⋮ New rates of convergence for the iterates of some positive linear operators ⋮ Weighted approximation by analogues of Bernstein operators for rational functions ⋮ Iterates of Markov Operators and Constructive Approximation of Semigroups ⋮ On differential operators associated with Markov operators ⋮ On the spectrum of positive linear operators with a partition of unity property ⋮ Iterates of Markov operators and their limits ⋮ On the iterates of Jackson type operator G_S,N in Hilbert space ⋮ On the convergence of sequences of positive linear operators and functionals on bounded function spaces ⋮ On Markov operators preserving polynomials

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