On a separation theorem for delta-convex functions

Andrzej Olbryś

Published: 2020-07-09

Vol. 34 No. 1 (2020)

On a separation theorem for delta-convex functions

Andrzej Olbryś

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.

Keywords:

convex functins , delta-convex function , Lorentz cone

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Olbryś, A. (2020). On a separation theorem for delta-convex functions. Annales Mathematicae Silesianae, 34(1), 133–141. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13638

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Vol. 34 No. 1 (2020)
Published: 2020-07-20

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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