Properties and Characterizations of Convex Functions on Time Scales
, , and | Aug 24, 2018
Published Online: Aug 24, 2018
Page range: 237 - 245
Received: Mar 11, 2017
Accepted: Dec 02, 2017
DOI: https://doi.org/10.1515/amsil-2017-0016
Keywords
© 2018 Teodoro Lara, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
In this research we deal with algebraic properties and characterizations of convex functions in the context of a time scale; this notion of convexity has been studied for some other authors but the setting of properties are establish here. Moreover, characterizations, a separation theorem and an inequality of Jensen type for this class of functions are shown as well.