Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419324 | Journal of Mathematical Analysis and Applications | 2012 | 14 Pages |
Abstract
In this paper we investigate how three well-known modes of convergence for (real-valued) functions are related to one another. In particular, we consider order convergence, pointwise convergence and continuous convergence of sequences of nearly finite normal lower semi-continuous functions. There is a natural comparison to be made between the results we obtain for convergence of sequences of semi-continuous functions, and classic results on the convergence of sequences of measurable functions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
J.H. van der Walt,