Namespaces
Variants
Actions

Divergent integral

From Encyclopedia of Mathematics
Revision as of 17:21, 7 February 2011 by 127.0.0.1 (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

A concept opposite to that of a convergent integral (see also Singular integral). For example, if a function is defined on a bounded or unbounded interval , , if for each it is integrable on and if there is no finite limit

then one says that the integral diverges. In the case that

one says that the divergent integral is equal to or , respectively.

How to Cite This Entry:
Divergent integral. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Divergent_integral&oldid=46756
This article was adapted from an original article by L.D. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article