Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators

DOI10.1007/s11117-016-0441-1zbMath1375.37016OpenAlexW2514530597MaRDI QIDQ1683238

Margareta Heilmann, Ioan Raşa

Publication date: 6 December 2017

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-016-0441-1

zbMATH Keywords

iterates of operatorsdual functionalsKantorovich modificationuniquely ergodic operator

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Approximation by positive operators (41A36)

Related Items (10)

Multivariate weighted Kantorovich operators ⋮ Iterates of convolution-type operators ⋮ On the Eigenstructure of the Modified Bernstein Operators ⋮ \(C_0\)-semigroups associated with uniquely ergodic Kantorovich modifications of operators ⋮ New rates of convergence for the iterates of some positive linear operators ⋮ Power series of positive linear operators ⋮ Generalized Kantorovich modifications of positive linear operators ⋮ Iterates and invariant measures for Markov operators ⋮ Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators. II ⋮ On the eigenstructure of the $(\alpha,q)$-Bernstein operator

Cites Work

• Markov operators, positive semigroups and approximation processes
• On the iterates of positive linear operators preserving the affine functions
• Ergodic theorems. With a supplement by Antoine Brunel
• The eigenstructure of the Bernstein operator
• On infinite products of positive linear operators reproducing linear functions
• Overiterated linear operators and asymptotic behaviour of semigroups
• The eigenstructure of operators linking the Bernstein and the genuine Bernstein-Durrmeyer operators
• Iterates of Bernstein polynomials
• Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions
• Kantorovich Operators of Order k
• Beta operators with Jacobi weights
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