Iterates and invariant measures for Markov operators

DOI10.1007/s00025-021-01524-0zbMath1484.41010OpenAlexW3206450471MaRDI QIDQ2051422

Ioan Raşa, Ana-Maria Acu

Publication date: 24 November 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01524-0

zbMATH Keywords

fixed pointsinvariant measuresMarkov operatorsiterates

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items (2)

Aldaz-Kounchev-Render operators on simplices ⋮ Generalized Kantorovich modifications of positive linear operators

Cites Work

• Markov operators, positive semigroups and approximation processes
• Bernstein polynomials and operator theory
• On the iterates of positive linear operators preserving the affine functions
• The local \(L_ 1\) saturation class of the method of integrated Meyer- Koenig and Zeller operators
• Iterates of Markov operators
• Korovkin-type approximation theory and its applications
• \(C_0\)-semigroups associated with uniquely ergodic Kantorovich modifications of operators
• Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators
• Characterization theorems for the approximation by a family of operators
• A generalization of Kantorovich operators for convex compact subsets
• Differences of positive linear operators on simplices
• Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators. II
• Strong converse results for linking operators and convex functions
• On infinite products of positive linear operators reproducing linear functions
• Overiterated linear operators and asymptotic behaviour of semigroups
• Over-iterates of Bernstein-Stancu operators
• Iteration of positive approximation operators
• Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions
• Quantitative convergence theorems for a class of Bernstein–Durrmeyer operators preserving linear functions
• VORONOVSKAYA TYPE RESULTS AND OPERATORS FIXING TWO FUNCTIONS
• Classes of convex functions associated with Bernstein operators of second kind
• Subadditive mean ergodic theorems
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