The rate of weak convergence of convex type positive finite measure
The author obtains different exact estimates of \(\lambda\) for inequalities of the form \[ | \int_{M}f d\mu -f(x_ 0)| \leq | \mu (M)-1)| | f(x_ 0)| +\lambda \] wherein \(\mu\) is a positive measure on a nonempty convex subset M of a real normed space. This kind of inequality arises from quantitative Korovkin type theorems. The estimates improve earlier results of the author and others. Applications are also given in this paper.
scientific article; zbMATH DE number 4165572
scientific article