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Weierstrass' criterion of uniform convergence
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(Theorem)
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"Weierstrass' criterion of uniform convergence" is owned by pahio.
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(view preamble)
| Other names: |
Weierstrass' M-test |
This object's parent.
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Cross-references: subset, terms, complex function, series, function series, convergent series, interval, real functions
There are 3 references to this entry.
This is version 6 of Weierstrass' criterion of uniform convergence, born on 2004-09-24, modified 2006-09-24.
Object id is 6225, canonical name is WeierstrassCriterionOfUniformConvergence.
Accessed 4164 times total.
Classification:
| AMS MSC: | 40A30 (Sequences, series, summability :: Convergence and divergence of infinite limiting processes :: Convergence and divergence of series and sequences of functions) | | | 26A15 (Real functions :: Functions of one variable :: Continuity and related questions ) |
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Pending Errata and Addenda
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![$ [a, b]$](http://images.planetmath.org:8080/cache/objects/6225/l2h/img3.png "$ [a, b]$"){kind=small}
![$\displaystyle \vert f_n(x)\vert \leqq M_n \quad \forall\,x\in[a, b],$](http://images.planetmath.org:8080/cache/objects/6225/l2h/img4.png "$\displaystyle \vert f_n(x)\vert \leqq M_n \quad \forall\,x\in[a, b],$"){kind=small}
![$ [a, b]$](http://images.planetmath.org:8080/cache/objects/6225/l2h/img7.png "$ [a, b]$"){kind=small}
