<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In the present paper we establish necessary and sufficient conditions under which two functions can be separated by a delta-convex function. This separation will be understood as a separation with respect to the partial order generated by the Lorentz cone. An application to a stability problem for delta-convexity is also given.</p></abstract>

In the present paper we establish necessary and sufficient conditions under which two functions can be separated by a delta-convex function. This separation will be understood as a separation with respect to the partial order generated by the Lorentz cone. An application to a stability problem for delta-convexity is also given.

On a Separation Theorem for Delta-Convex Functions

Annales Mathematicae Silesianae

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

{"article-title":"On a Separation Theorem for Delta-Convex Functions"}

In the present paper we establish necessary and sufficient conditions under which two functions can be separated by a delta-convex function. This separation...

On a Separation Theorem for Delta-Convex Functions

Data publikacji: 09 lip 2020

Zakres stron: 133 - 141

Otrzymano: 01 gru 2019

Przyjęty: 03 cze 2020

DOI: https://doi.org/10.2478/amsil-2020-0013

Słowa kluczowe
convex functins, delta-convex function, Lorentz cone

© 2020 Andrzej Olbryś, published by Sciendo

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

On a Separation Theorem for Delta-Convex Functions

Data publikacji: 09 lip 2020

Zakres stron: 133 - 141

Otrzymano: 01 gru 2019

Przyjęty: 03 cze 2020

DOI: https://doi.org/10.2478/amsil-2020-0013

Słowa kluczoweconvex functins, delta-convex function, Lorentz cone

© 2020 Andrzej Olbryś, published by Sciendo

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

Słowa kluczowe
convex functins, delta-convex function, Lorentz cone