Logarithmically concave sequence: Difference between revisions

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These hypotheses mirror the ones required for [[Logarithmically_concave_function|log-concave functions]].

Sequences that fulfill the three conditions are also called '''Pòlya Frequency sequences of order 2''' ('''PF₂''' sequences). Refer to chapter 2 of <ref name="brenti">Brenti, F. (1989). Unimodal Log-Concave and Pòlya Frequency Sequences in Combinatorics. American Mathematical Society.</ref> for a discussion on the two notions.

For instance, the sequence {{math|(1,1,0,0,1)}} checks the concavity inequalities but not the internal zeros condition.