On the iterates of positive linear operators preserving the affine functions

DOI10.1016/j.jmaa.2010.07.026zbMath1196.41014OpenAlexW2033646290MaRDI QIDQ994305

Ioan Gavrea, Mircea Ivan

Publication date: 17 September 2010

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.2010.07.026

zbMATH Keywords

Bernstein operatorsMeyer-König and Zeller operatorspositive linear operatorsiteratesMay operators

Mathematics Subject Classification ID

Approximation by positive operators (41A36)

Related Items (21)

Iterates of convolution-type operators ⋮ On infinite products of positive linear operators reproducing linear functions ⋮ On the iterates of Jackson type operator \(G_{s,n}\) ⋮ New rates of convergence for the iterates of some positive linear operators ⋮ Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators ⋮ Iterates of \(q\)-Bernstein operators on triangular domain with all curved sides ⋮ Iterates of monotone and sublinear operators on spaces of continuous functions ⋮ Asymptotic properties of powers of linear positive operators which preserve \(e_2\) ⋮ Iterates of Markov Operators and Constructive Approximation of Semigroups ⋮ Elementary hypergeometric functions, Heun functions, and moments of MKZ operators ⋮ The iterates of positive linear operators preserving constants ⋮ Iterates of Bernstein type operators on a triangle with all curved sides ⋮ On the spectrum of positive linear operators with a partition of unity property ⋮ On the iterates of Jackson type operator G_S,N in Hilbert space ⋮ Asymptotic behaviour of the iterates of positive linear operators ⋮ Geometric series of positive linear operators and the inverse Voronovskaya theorem on a compact interval ⋮ On the iterates of positive linear operators ⋮ Iterates and invariant measures for Markov operators ⋮ Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators. II ⋮ A Korovkin-type theorem for sequences of positive linear operators on function spaces ⋮ An answer to a conjecture on the limit of the iterates of Jackson type operator Gs, n

Cites Work

• On the iterates of a class of summation-type linear positive operators
• A global approximation theorem for Meyer-König and Zeller operators
• Korovkin-type approximation theory and its applications
• Approximation theorems for the iterated Boolean sums of Bernstein operators
• On the iterates of some Bernstein-type operators
• The eigenstructure of the Bernstein operator
• Iterates of Bernstein operators, via contraction principle
• Iterates of Bernstein polynomials
• Iteration of positive approximation operators
• Bernsteinsche Potenzreihen
• Saturation and Inverse Theorems for Combinations of a Class of Exponential-Type Operators
• Bernstein Power Series
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