<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>To approximate a function, some simpler functions are used: simpler as definitory structure (formula) and also as regularity, continuity and/or smoothness.</p>
<p>Any Lipschitz function is a uniformly continuous function, but conversely it not always true. We add to the usual examples some other, especially of the class of differentiable functions.</p>
</abstract>

To approximate a function, some simpler functions are used: simpler as definitory structure (formula) and also as regularity, continuity and/or smoothness.
Any Lipschitz function is a uniformly continuous function, but conversely it not always true. We add to the usual examples some other, especially of the class of differentiable functions.

About uniform continuous functions which are not Lipschitz

Valahia University of Târgovişte (retired)

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

To approximate a function, some simpler functions are used: simpler as definitory structure (formula) and also as regularity, continuity and/or smoothness.
Any...

About uniform continuous functions which are not Lipschitz

Publié en ligne: 24 nov. 2023

Pages: 67 - 72

Reçu: 15 déc. 2022

Accepté: 12 mai 2023

DOI: https://doi.org/10.2478/gm-2023-0007

Mots clés
Lipschitz function, uniform continuous function, derivative

© 2023 Gabriel Prăjitură et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

About uniform continuous functions which are not Lipschitz

Publié en ligne: 24 nov. 2023

Pages: 67 - 72

Reçu: 15 déc. 2022

Accepté: 12 mai 2023

DOI: https://doi.org/10.2478/gm-2023-0007

Mots clésLipschitz function, uniform continuous function, derivative

© 2023 Gabriel Prăjitură et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
Lipschitz function, uniform continuous function, derivative