Sentence examples for sharp forms of from inspiring English sources

The sharp forms of the Bernstein- and Markov-type inequalities are known, and the right factors are worse for complex coefficients than for real ones.

They look as if they had been sliced apart by a gigantic knife — or possibly by the long, sharp form of Stealth, the building next door.

We obtain an essentially sharp form of this function.

Later, J. Moser [14] gave a sharp form of this Trudinger inequality.

This paper deals with a sharp form of Moser Trudinger inequality.

A natural way to deal with Ball's inequality is to apply the sharp form of the Hausdorff-Young inequality [3].

Additional work is presented in order to extend these mixed norm estimates to the end points, 2n(n + 1) and 2n(n − 1), in the (sharp) form of restricted weak-type inequalities.

Inspired in the approximation method used by Beckner in [1] to prove the sharp form of the Hausdorff Young inequality, the present article shows that Beckner's method is a special case of a general approximation method for operators.

Now, in the aftermath of the court's ruling in the Citizens United case, third-party groups in growing numbers have been flocking to this sharper form of messaging in the closing weeks of the campaign.

Therefore, inequality (2.6) is a sharper form of (1.8).

Inequality (2.6) is a sharper form of (1.8).