Degree of convergence in operator versions of nonlinear Korovkin's theorems

DOI10.1007/s40574-023-00397-1zbMATH Open1546.41011MaRDI QIDQ6612011

Constantin P. Niculescu, Sorin G. Gal

Publication date: 27 September 2024

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Cites Work

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• Korovkin-type approximation theory and its applications
• Choquet operators associated to vector capacities
• A note on the Choquet type operators
• Nonlinear versions of Korovkin's abstract theorems
• A nonlinear extension of Korovkin's theorem
• Korovkin-type theorems for weakly nonlinear and monotone operators
• Operator version of Korovkin theorem; degree of convergence and application to preconditioners
• Korovkin-type theorems for statistically convergent sequences of monotone and sublinear operators
• Positive operators
• Real Analysis on Intervals
• Another look at Voronovskaja type formulas
• Korovkin-type Theorems and Approximation by Positive Linear Operators
• THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS
• Birkhoff's ergodic theorem and the maximal ergodic theorem

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