Sentence examples for estimates are established from inspiring English sources

Stabilities and optimal error estimates are established in Sections 4 and 5, respectively.

A posteriori error estimates are established for the finite element approximation solutions in Section 3.

Further, optimal error estimates are established for the semi-discrete scheme.

The error estimates are established for two kinds of nonuniform meshes.

After the (2.9) and (2.73 -type estimates are established, we can apply the successive approximations method like in Sect.

Using Rademacher type, maximal estimates are established for k-sublinear operators with values in the space of measurable functions.

Furthermore their finite element approximation and a priori error estimates were established long ago, for example, see [1] [7], [9].

Efficiency of the networks is examined and the asymptotic rate of convergence of the network estimates is established.

Jeez, to some extent those estimates were established with a nudge and a wink from Micron executives, among whom Appleton himself should have been included.

In this paper a posteriori error estimates were established for time-dependent convection diffusion optimal control problems by the elliptic reconstruction technique.

Here a unified framework for identifying and quantifying structural errors associated with the RAPID array-based AMOC estimates is established using a high-resolution (eddy resolving at low-mid latitudes, eddy permitting elsewhere) ocean general circulation model, which simulates the ocean state between 1978 and 2010.