Sentence examples similar to provided in example to show from inspiring English sources

In 2012, the authors [5] provided an example to show the rate of convergence of the Kirk-type iterative schemes.

In this subsection, we provide an example to show that in the presence of diverse channel conditions, applying multiple data rates with a link adaptation mechanism cannot completely equalize transmission qualities, thereby causing a similar unfair behavior as shown in Subsection 5.1.

In this paper, we provide an example to show that some results obtained in [Mongkolkeha et al. in Fixed Point Theory Appl. 2011, doi 10.1186/1687-1812-2011-93] are not valid.

In this section we provide an example to show how our results can be applied in practice.

In this section, we now provide an example to show the effectiveness of the result in Theorem 3.3 and Theorem 3.4.

In this section, we provide an example to show the application of our stability result.

We also provide an example to show that in the general setting the best possible regularity for the Cheeger-harmonic functions is Lipschitz continuity.

In this section, we will provide an example to show the validity of Theorem 3.1.

Let us note that in Theorem 4.2 the gauge function only satisfies lim n → ∞ φ n ( t ) = 0 for all t > 0, and it does not necessarily satisfy φ ( t ) < t for all t > 0. In this section, we shall provide an example to show the validity of the main results of this paper.

Moreover, we provide an example to show that our results are substantial improvements of some known results in literature.

We provide an example to show that our results are a substantial generalization of comparable results in the existing literature.