Sentence examples for improve the decay from inspiring English sources

For the special class of weighted lens map composition operators with specific weights, we show how much the weight w can improve the decay rate of the approximation numbers, and give sharp upper and lower bounds.

First of all, we improve the decay rates in Theorem 3.4 to be optimal as follows.

Next, we will improve the decay rate for ∥ u t ∥ 2 2 given by (3.17).

Later, Santos and Soufyane [11] improved the decay result of [10].

This figure clearly indicates that addition of transition metal improves the decay in storage capacity due to repeated hydrogenation dehydrogenation cycles.

In addition, the other small assumptions of the initial data are imposed in [4, 5], some time decay rates results can be obtained and our results also improve the time decay rate results in [4, 5].

More importantly, introducing CF3 on benzene moiety can also significantly improve the radiative decay rate (kr).

There are several attempts to improve the rate of decay.

There have been several attempts to improve the rate of decay.

This result improved the earlier decay results of Santos et al. [11].

On this basis, correlations have been proposed in order to improve the predictions of swirl intensity decay rate at upstream regions as well as those with high swirl intensity.