关于Choquet型算子的一个注记
A note on the Choquet type operators
摘要：
本文介绍了Choquet型算子，它与Choquet关于不一定是加性集函数的可积性理论有关。基于它们的性质，证明了Bernstein-Kantorovich-Choquet算子的非线性Korovkin型逼近定理的一个定量估计.本文还包括一个大的推广Hölder不等式的框架内的单调和次线性算子作用于空间的连续函数。
英文摘要：
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 Hölder's inequality within the framework of monotone and sublinear operators acting on spaces of continuous functions.
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