Young's Inequality

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:

    ... men and women are not yet free.... The slavery of greed endures. Little child workers, the hope of the future, are sacrificed to industry. Young men are sent out by the billion to die for profits.... We must destroy industrial slavery and build industrial democracy.... The people everywhere must come into possession of the earth [second, third, and fourth ellipses in source].
    Sara Bard Field (1882–1974)

    All the aspects of this desert are beautiful, whether you behold it in fair weather or foul, or when the sun is just breaking out after a storm, and shining on its moist surface in the distance, it is so white, and pure, and level, and each slight inequality and track is so distinctly revealed; and when your eyes slide off this, they fall on the ocean.
    Henry David Thoreau (1817–1862)