Sentence examples for uniformly convergence from inspiring English sources

In the proof of Theorem 3.1, we obtain the uniformly convergence of the monotone sequences without the compactness condition.

Appealing to the Arzela-Ascoli theorem, there exist a subsequent denoted by { ( F i Ψ x i, m k ) ( t ) }, which is uniformly convergence on [ 0, T ].

Falco and O'Riordan [8] developed a second-order uniformly convergence numerical method on piecewise-uniform Shishkin meshes for a reaction-diffusion equation with a discontinuous diffusion coefficient.

Remark 2.2 Upon the proof, the series (2.1) is the absolute convergence and uniformly convergence, thus we can differentiate the both sides of (2.1) with respect to the variable x or y.

Convergence analysis shows that the representation is uniformly convergent, which is computer friendly, and can be applied to approximate computations.

A novel finite-time controller is derived using the bi-limit homogeneous technique, which ensures that the attitude tracking can be achieved in a uniformly bounded convergence time from any initial states.

Two-grid analysis for the linear constant-coefficient case shows that it is difficult to obtain uniformly good convergence rates for a higher-order scheme, because of waves perpendicular to stream lines.

In the classical case, it is possible to treat these subjects by dealing with the compact-open topology (which corresponds to convergence uniformly on compacta; see also [41]).

These additional conditions yield the uniformly and absolutely convergence of the series (24) on the interval ([ 0,1 ] ) (see [12], p.222, Theorem 3).

The maximum tolerable error between unknown time-varying delay and a constant estimate of the delay is determined to establish uniformly ultimately bounded convergence of the tracking error to the origin.

The maximum tolerable error between unknown time-varying delay and a constant estimate of the delay can be determined based on the selection of the control gains to provide uniformly ultimately bounded convergence of the tracking error to the origin.