Sentence examples for established estimate from inspiring English sources

On first stage, we verify the validity of the statement for twice continuously differentiable convex functions satisfying conditions (3.1) and (3.2) and on second stage we approximate arbitrary convex functions satisfying the same conditions by smooth ones inside the interval in an appropriate manner and afterwards we pass onto limit in the previously established estimate.

Until the reliability of these various estimation methods can be established, estimating the annual number of condoms used from survey data will not be feasible.

end{aligned} (1.2) By using (1.2), Brutman [2] and Falaleev [3] established estimates of the Landau constants.

In view of Theorem 3.1, we established estimates for the solution of (1.5) uniformly in ε 1, ε 2, …, ε n.

We established estimates of time and cost from published data or from expert opinion.

Most have shown prevalence rates of diabetes between 10% and 15%, indicating that the established estimates have probably been surpassed [ 3].

Ultrafiltration was scheduled to be linear throughout the HD session and to compensate for the extra volume load given due to G and GI infusion to obtain previously established "estimated dry weight".

Inspired by [30], we will first establish estimate on (int_{Omega}u^{m+1}, dx+int_{Omega}|nabla v|^{4}, dx) to obtain estimate on (int_{Omega}u^{p}, dx) for any (p>1).

In principle, this seems incontestable, but establishing estimates that are generally accepted will be hard.In any case, the ONS still has its work cut out to make less controversial but essential improvements.

We establish estimates for certain class of maximal functions with kernels in.

end{aligned} (32) Now, we will establish estimates for (Vert u_{k}Vert _{H}), (kgeq2).