A Nonlinear Extension of Korovkin's Theorem
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Publication:6335824
DOI10.1007/S00009-020-01583-7arXiv2003.00002MaRDI QIDQ6335824
Constantin P. Niculescu, Sorin G. Gal
Publication date: 27 February 2020
Abstract: In this paper we extend the classical Korovkin theorems to the framework of comonotone additive, sublinear and monotone operators. Based on the theory of Choquet capacities, several concrete examples illustrating our results are also discussed.
Multidimensional problems (41A63) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)
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