<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The main objective of this article is to show that generalized differentiation can be understood as a process of comparing functions and their generalized continuity properties. We show it by working with generalized notions of derivative and continuity. The article covers wide range of types of generalized continuity.</p></abstract>

The main objective of this article is to show that generalized differentiation can be understood as a process of comparing functions and their generalized continuity properties. We show it by working with generalized notions of derivative and continuity. The article covers wide range of types of generalized continuity.

Generalized Derivative and Generalized Continuity

Faculty of Mathematics, Physics and Informatics

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Generalized Derivative and Generalized Continuity"}

The main objective of this article is to show that generalized differentiation can be understood as a process of comparing functions and their generalized...

Generalized Derivative and Generalized Continuity

Published Online: Nov 15, 2019

Page range: 77 - 84

Received: Dec 08, 2017

DOI: https://doi.org/10.2478/tmmp-2019-0021

Keywords
generalized derivative, generalized continuity, -continuity, -continuity

© 2019 Ivan Kupka, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Generalized Derivative and Generalized Continuity

Published Online: Nov 15, 2019

Page range: 77 - 84

Received: Dec 08, 2017

DOI: https://doi.org/10.2478/tmmp-2019-0021

Keywordsgeneralized derivative, generalized continuity, -continuity, -continuity

© 2019 Ivan Kupka, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
generalized derivative, generalized continuity, -continuity, -continuity