Logarithmically convex function
= Logarithmically convex function
{wiki=Logarithmically_convex_function}
A function \\( f: (a, b) \\to \\mathbb\{R\} \\) is said to be logarithmically convex on the interval \\( (a, b) \\) if for any \\( x, y \\in (a, b) \\) and \\( \\lambda \\in \[0, 1\] \\), the following inequality holds: \\\[ f(\\lambda x + (1 - \\lambda) y) \\leq (f(x)^\{\\lambda\}