Approximation of mappings with values which are upper semicontinuous functions

[摘要] In this paper we study some aspects of the approximation of mappings taking values in a special class of upper semicontinuous functions. Some Korovkin type theorems for positive linear operators are obtained. and consequences of these theorems for a special class of operators defined through partial sum stochastic processes are analyzed. (C) 2001 Academic Press.

[发布日期] 2001-12-01

[关键词] function valued map;fuzzy random variable;linear operator;partial sum stochastic process;positive operator;random set;upper semicontinuous function