کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6419324 1339394 2012 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Convergence of sequences of semi-continuous functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Convergence of sequences of semi-continuous functions
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 388, Issue 2, 15 April 2012, Pages 739-752
نویسندگان
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