Sentence examples for generalized improved from inspiring English sources

Following this celebrated result, many authors have generalized, improved, and extended this result in the context of different abstract spaces for various operators.

See [2 8] and [9 16] for some results in which this famous integral inequality (1.1) is generalized, improved and extended.

For the contribution on the recent results which generalized, improved, and extended this classical Hermite-Hadamard inequality via convex functions, we refer the reader to [2 16] and references therein.

Our results generalize, improve, and extend several recent results.

Our results generalize, improve, and simplify the proof of the previous results given by some authors.

Our results generalize, improve and enrich some well-known results in literature.

In this manuscript, we generalize, improve, enrich and extend the above coupled fixed point results.

Our results generalize, improve and unify a lot of previously known results in this area.

For some results which generalize, improve, and extend the famous integral inequality (1.1), see [2 6].

The subject of this paper is to generalize, improve and extend the results of Caballero, Harjani and Sadarangani [2].

For several results which generalize, improve and extend inequalities (1.1), we refer the interested reader to [2 18].