Sentence examples for a sharper estimate from inspiring English sources

Indeed, as we show in the Appendix a sharper estimate holds in a Banach space.

The main result of this paper is to give a sharp estimate for Cp in terms of p. Namely, we show that Cp∼p2p−1.

entries that have heavy tails, and second, a sharp estimate on the quadratic empirical process when H="{〈t,⋅〉:t∈T}, T⊂Rn and μ is an isotropic, unconditional, log-concave measure.

We show that Λ is the best possible exponent by relating this estimate to a sharp estimate for the rate of relaxation of f(⋅,t) to M. A key role in the analysis is played by a decomposition of Q+n(F) into a smooth part and a small part.

In [6], Pérez and Trujillo-Gonzalez prove a sharp estimate for the multilinear commutator.

By letting, we obtain a sharp estimate on the constant in (1.32).

In [7], Pérez and Trujillo-Gonzalez prove a sharp estimate for the commutator.

In [11 13], authors proved a sharp estimate for the multilinear commutator.

In [6], Pérez and Trujillo-Gonzalez proved a sharp estimate for some multilinear commutator.

This estimate yields a sharp estimate of the pressure in terms of the viscosity term in the Navier-Stokes equation with no-slip boundary condition.

We have not been able to obtain a sharp estimate for the constants figuring in the stability inequality.