PlanetMath (more info)
 Math for the people, by the people. Sponsor PlanetMath
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
sections
Encyclopædia
Papers
Books
Expositions

meta
Requests (229)
Orphanage
Unclass'd (1)
Unproven (530)
Corrections (33)
Classification

talkback
Polls
Forums
Feedback
Bug Reports

downloads
Snapshots
PM Book

information
News
Docs
Wiki
ChangeLog
TODO List
Legalese
About
Owner confidence rating: Medium Entry average rating: Very high
absolute convergence theorem (Theorem)

Every absolutely convergent series is convergent.



"absolute convergence theorem" is owned by paolini.
(view preamble | get metadata)

View style:

See Also: real part series and imaginary part series


Attachments:
proof of absolute convergence theorem (Proof) by paolini
absolute convergence of double series (Definition) by pahio
Log in to rate this entry.
(view current ratings)

Cross-references: convergent, series, absolutely convergent
There are 3 references to this entry.

This is version 1 of absolute convergence theorem, born on 2003-06-16.
Object id is 4372, canonical name is AbsoluteConvergenceTheorem.
Accessed 4295 times total.

Classification:
AMS MSC: 40A05 (Sequences, series, summability :: Convergence and divergence of infinite limiting processes :: Convergence and divergence of series and sequences)
Pending Errata and Addenda
None.
[ View all 1 ]
Discussion
Style: Expand: Order:
forum policy

No messages.

Interact
post | correct | update request | prove | add result | add corollary | add example | add (any)