Korovkin-type theorems for weakly nonlinear and monotone operators

DOI10.1007/s00009-023-02271-yOpenAlexW4315865965WikidataQ123014688 ScholiaQ123014688MaRDI QIDQ2684819

Constantin P. Niculescu, Sorin Gheorghe Gal

Publication date: 17 February 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.14102

zbMATH Keywords

monotone operatorconvergence in measureconvergence almost everywheresublinear operatorKorovkin-type theoremsChoquet's integralconvergence in \(L^p\)-norm

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Related Items (3)

Iterates of monotone and sublinear operators on spaces of continuous functions ⋮ 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 $]

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