<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

Data publikacji: 24 lis 2023

Zakres stron: 67 - 72

Otrzymano: 15 gru 2022

Przyjęty: 12 maj 2023

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

Słowa kluczowe
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

Data publikacji: 24 lis 2023

Zakres stron: 67 - 72

Otrzymano: 15 gru 2022

Przyjęty: 12 maj 2023

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

Słowa kluczoweLipschitz 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.

Słowa kluczowe
Lipschitz function, uniform continuous function, derivative