Sentence examples for sharp estimates from inspiring English sources

The presented estimators demonstrate their efficiency in numerical tests producing sharp estimates both for the energy and the quantities of interest.

Sharp estimates its net profit for the year ending March 31 will rise 24percentt from last year, to 75 billion yen.

Among other things we prove the following sharp estimates.

The proofs rely on sharp estimates for cumulants.

Next we give sharp estimates on the Green's function G ( x, t ).

Analogously, we obtain the sharp estimates for the best constants in (1.4) and (1.5).

Sharp estimates for the Kolmogorov distance are given in the following.

Sharp estimates of (|D^{dagger} - A^{dagger}|) are derived for a unitarily invariant norm.

We apply our results to derive sharp estimates of the Dunkl kernel.

Finally, we show that a weak Gurov Reshetnyak condition implies higher integrability with asymptotically sharp estimates.

For each of the function classes S σ ∗ and K σ , they found non-sharp estimates on the first two Taylor-Maclaurin coefficients | a 2 | and | a 3 | (for details, see [6, 7]).