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arXiv · 1904.11135

Classical Kantorovich operators revisited

Ana Maria Acu·Heiner Gonska
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Abstract

The main object of this paper is to improve some of the known estimates for classical Kantorovich operators. A quantitative Voronovskaya-type result in terms of second moduli of continuity which improves some previous results is obtained. In order to explain non-multiplicativity of the Kantorovich operators a Chebyshev-Gr\"uss inequality is given. Two Gr\"uss-Voronovskaya theorems for Kantorovich operators are considered as well.

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Ana Maria Acu, Heiner Gonska. 2019-04-25. Classical Kantorovich operators revisited. https://arxiv.org/abs/1904.11135

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