Sequences, series, summability Sequences and limits Concept
Limit superior
Summary
The limit superior of a sequence is the limit of the suprema of its tails. It describes the largest value near which the sequence lies infinitely often. The node limit superior gives the precise definition.
Where this leads
25 pages build on this one.
- Phragmén–Lindelöf principle for subharmonic functions
- Minkowski content
- Portmanteau theorem
- Maximum principle for subharmonic functions
- Packing density
- Banach limit
- Szemerédi's theorem
- Varadhan's lemma
- Sub-mean value property
- Furstenberg's multiple recurrence theorem
- Roth's theorem on arithmetic progressions
- Minkowski–Bouligand dimension
- Erdős conjecture on arithmetic progressions
- Large deviations theory
- Clarke generalized gradient
- Γ-convergence
- Lyapunov exponent
- Sanov's theorem
- Mosco convergence
- Law of the iterated logarithm
- Cramér's theorem
- Hadamard three-circle theorem for subharmonic functions
- Lindelöf's maximum principle
- Gelfand–Kirillov dimension
- Hartogs lemma for subharmonic functions
Further reading
About this page
| Tag | 0T3RZQXDYD |
|---|---|
| URI | m2://0T3RZQXDYD |
| Kind | concept |
| Writing | W0 stub |
| MSC | 40A05 |
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What links here
Definitions
Used by
- Phragmén–Lindelöf principle for subharmonic functions
- Minkowski content
- Portmanteau theorem
- Maximum principle for subharmonic functions
- Packing density
- Banach limit
- Szemerédi's theorem
- Roth's theorem on arithmetic progressions
- Minkowski–Bouligand dimension
- Large deviations theory
- Clarke generalized gradient
- Γ-convergence
- Lyapunov exponent
- Mosco convergence
- Law of the iterated logarithm
- Gelfand–Kirillov dimension
- Hartogs lemma for subharmonic functions