Theorems · Definition · sequences and series
SuccDiffBounded
ℕ → (ℕ → ℕ) → Prop
A sequence u has the property that its ratio of successive differences is bounded
when there is a positive real number C such that, for all n ∈ ℕ,
(u (n + 2) - u (n + 1)) ≤ C * (u (n + 1) - u n)
- Defined in
- Mathlib.Analysis.PSeries
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
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Cites0
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Nothing in Mathlib beyond the foundations.
Cited by6
Results whose statement or proof uses this declaration.
- summable_condensed_iff_of_nonnegproof · cited by 2
- NNReal.summable_schlomilch_iffstatement and proof · cited by 2
- Finset.sum_schlomilch_lestatement and proof · cited by 1
- ENNReal.tsum_schlomilch_lestatement and proof · cited by 1
- summable_schlomilch_iff_of_nonnegstatement and proof · cited by 1
- NNReal.summable_condensed_iffproof · cited by 0