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:
“The first wrote, Wine is the strongest. The second wrote, The king is strongest. The third wrote, Women are strongest: but above all things Truth beareth away the victory.”
—Apocrypha. 1 Esdras, 3:10-12.
Referring to “three young men” of the bodyguard of Darius, king of the Persians, competing for his favor.
“However energetically society in general may strive to make all the citizens equal and alike, the personal pride of each individual will always make him try to escape from the common level, and he will form some inequality somewhere to his own profit.”
—Alexis de Tocqueville (1805–1859)