| 释义 |
Young's inequality
Young's inequality[′yəŋz ‚in·ə′kwäl·əd·ē] (mathematics) An inequality that applies to a function y = f (x) that is continuous and strictly increasing for x ≥ 0 and satisfies f (0) = 0, with inverse function x = g (y); it states that, for any positive numbers a and b in the ranges of x and y, respectively, the product ab is equal to or less than the sum of the integral from 0 to a of f (x) dx and the integral from 0 to b of g (y) dy. |