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arXiv · 2004.07073

A note on the Choquet type operators

Sorin G. Gal·Constantin P. Niculescu
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Abstract

In this note the Choquet type operators are introduced, in connection to Choquet's theory of integrability with respect to a not necessarily additive set function. Based on their properties, a quantitative estimate for the nonlinear Korovkin type approximation theorem associated to Bernstein-Kantorovich-Choquet operators is proved. The paper also includes a large generalization of H\"{o}lder's inequality within the framework of monotone and sublinear operators acting on spaces of continuous functions.

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Sorin G. Gal, Constantin P. Niculescu. 2020-04-14. A note on the Choquet type operators. https://doi.org/10.1007/s00010-021-00803-z

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