Sentence examples for result improves from inspiring English sources

our result improves the Kantorovich inequality (1.2), so we conclude that Theorem 2.1 gives an improvement of the Kantorovich inequality that applies all invertible Hermite matrices.

Our result improves Theorem 3.1 in [8].

where This result improves Theorem 3.1.

Hence our result improves Xing et al. [12, Theorem  5.1].

This result improves on earlier ones concerning the exponential decay.

Also our result improves the corresponding results in [4].

Our result improves Theorem 1 of Yuan and Xie [16].

The result improves and extends some known results.

Therefore, our result improves and generalizes the Theorem A.

This result improves the ones known in the literature.

This last result improves on previously published results.