Logarithmically concave sequence: Difference between revisions

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In [[mathematics]], a sequence {{math|''a''<sub>0</sub>, ''a''<sub>1</sub>, ..., ''a''<sub>''n''</sub>}} of nonnegative real numbers is called a '''logarithmically concave sequence''', or a '''log-concave sequence''' for short, if {{math|''a''<sub>''i''</sub><sup>2</sup> &gt; ''a''<sub>''i''−1</sub>''a''<sub>''i''+1</sub>}} holds for {{math|0 &lt; ''i'' &lt; ''n''}}.
 
Examples of log-concave sequences are given by the [[binomial coefficient]]s along any row of [[Pascal's triangle]].