论文标题
关于Choquet类型运算符的注释
A note on the Choquet type operators
论文作者
论文摘要
在本说明中，引入了Choquet类型运算符，与Choquet相对于不一定是加性设置功能的集成性理论。根据其特性，证明了与伯恩斯坦-Kantorovich-Choquet运算符相关的非线性Korovkin类型近似定理的定量估计值。该论文还包括对霍尔德的不平等的大规模概括，在单调和sublinear算子的框架内作用于连续功能的空间。
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.
