Lebesgue’scher Konvergenzsatz
From testwiki
Revision as of 18:35, 12 September 2010 by
*>SchuBot
(Mathematik einrücken)
(
diff
)
← Older revision
|
Latest revision
(
diff
) |
Newer revision →
(
diff
)
Jump to navigation
Jump to search
Lebesgue’scher Konvergenzsatz Wenn gilt: (K.v.1)
lim
n
→
∞
f
n
=
f
{\displaystyle {\underset {n\to \infty }{\mathop {\lim } }}\,{{f}_{n}}=f}
(K.v.2)
|
f
n
|
≤
F
,
F
∈
L
1
{\displaystyle \left|{{f}_{n}}\right|\leq F,\quad F\in {{L}^{1}}}
Dann folgt (K.f.1)
f
∈
L
1
{\displaystyle f\in {{L}^{1}}}
(K.f.2)
∫
f
=
lim
n
→
∞
∫
f
n
{\displaystyle \int {f}={\underset {n\to \infty }{\mathop {\lim } }}\,\int {{f}_{n}}}
Navigation menu
Personal tools
Not logged in
Talk
Contributions
Log in
Namespaces
Page
Discussion
English
Views
Read
Edit
⧼visualeditor-ca-editsource⧽
View history
More
Search
Navigation
Main page
Recent changes
Random page
Physikerwelt
Tools
What links here
Related changes
Special pages
Printable version
Permanent link
Page information
Cite this page
wikibase-otherprojects
In other languages
⧼wikibase-linkitem-addlinks⧽