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A Nonlinear Extension of Korovkin’s Theorem

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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.

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Author notes

  1. Constantin P. Niculescu

    Present address: Academy of Romanian Scientists, Splaiul Independentei No. 54, 050094, Bucharest, Romania

Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Oradea, University Street No. 1, 410087, Oradea, Romania

    Sorin G. Gal

  2. Romania and Academy of Romanian Scientists, Splaiul Independentei No. 54, 050094, Bucharest, Romania

    Sorin G. Gal

  3. Department of Mathematics, University of Craiova, 200585, Craiova, Romania

    Constantin P. Niculescu

Authors
  1. Sorin G. Gal
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  2. Constantin P. Niculescu
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Correspondence to Sorin G. Gal.

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Dedicated to Professor Nicolae Dinculeanu, on the occasion of his 95th birthday.

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Gal, S.G., Niculescu, C.P. A Nonlinear Extension of Korovkin’s Theorem. Mediterr. J. Math. 17, 145 (2020). https://doi.org/10.1007/s00009-020-01583-7

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