A nonlinear extension of Korovkin's theorem
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Publication:2199751
DOI10.1007/s00009-020-01583-7OpenAlexW3080183003MaRDI QIDQ2199751
Constantin P. Niculescu, Sorin Gheorghe Gal
Publication date: 14 September 2020
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.00002
Multidimensional problems (41A63) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)
Related Items (10)
An operator version of the Korovkin theorem ⋮ Iterates of monotone and sublinear operators on spaces of continuous functions ⋮ Korovkin-type theorems for weakly nonlinear and monotone operators ⋮ Nonlinear operator extensions of Korovkin's theorems ⋮ Quantitative Korovkin theorems for monotone sublinear and strongly translatable operators in $L_{p}([0, 1)$, $1\le p\le \infty $] ⋮ Korovkin-type theorems for statistically convergent sequences of monotone and sublinear operators ⋮ Choquet operators associated to vector capacities ⋮ A note on the Choquet type operators ⋮ Nonlinear versions of Korovkin's abstract theorems ⋮ Infimal generators and monotone sublinear operators
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