<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In the present paper, we establish the necessary and sufficient conditions under which two functions can be separated by h-convex function, in the case, when the function h is multiplicative. This result is related to the theorem on separation by convex functions presented in Baron, K. Matkowski, J. Nikodem, K. [A sandwich with convexity, Math. Pannon. 5 (1994), 139 144].</p></abstract>

In the present paper, we establish the necessary and sufficient conditions under which two functions can be separated by h-convex function, in the case, when the function h is multiplicative. This result is related to the theorem on separation by convex functions presented in Baron, K. Matkowski, J. Nikodem, K. [A sandwich with convexity, Math. Pannon. 5 (1994), 139 144].

On separation by h-convex functions

Institute of Mathematics Silesian University Bankowa 14 PL-40-007 Katowice POLAND

Tatra Mountains Mathematical Publications

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

{"article-title":"On separation by h-convex functions"}

In the present paper, we establish the necessary and sufficient conditions under which two functions can be separated by h-convex function, in the case, when...

On separation by h-convex functions

Published Online: Sep 25, 2015

Page range: 105 - 111

Received: Aug 22, 2014

DOI: https://doi.org/10.1515/tmmp-2015-0008

© 2015

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