In mathematics, Young's inequality is either of two inequalities: one about the product of two numbers, and one about the convolution of two functions. They are named after William Henry Young.
Young's inequality for products can be used to prove Hölder's inequality. It is also used widely to estimate the norm of nonlinear terms in PDE theory, since it allows one to estimate a product of two terms by a sum of the same terms raised to a power and scaled.
Read more about Young's Inequality: Young's Inequality For Convolutions
Famous quotes containing the words young and/or inequality:
“I feel a kind of reverence for the first books of young authors. There is so much aspiration in them, so much audacious hope and trembling fear, so much of the heart’s history, that all errors and shortcomings are for a while lost sight of in the amiable self assertion of youth.”
—Henry Wadsworth Longfellow (1807–1882)
“Love is a great thing. It is not by chance that in all times and practically among all cultured peoples love in the general sense and the love of a man for his wife are both called love. If love is often cruel or destructive, the reasons lie not in love itself, but in the inequality between people.”
—Anton Pavlovich Chekhov (1860–1904)