<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></abstract>

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.

Properties and Characterizations of Convex Functions on Time Scales

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Properties and Characterizations of Convex Functions on Time Scales"}

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...

Properties and Characterizations of Convex Functions on Time Scales

Publicado en línea: 24 ago 2018

Páginas: 237 - 245

Recibido: 11 mar 2017

Aceptado: 02 dic 2017

DOI: https://doi.org/10.1515/amsil-2017-0016

Palabras clave
time scales, convex functions, Jensen inequality

© 2018 Teodoro Lara, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Properties and Characterizations of Convex Functions on Time Scales

Publicado en línea: 24 ago 2018

Páginas: 237 - 245

Recibido: 11 mar 2017

Aceptado: 02 dic 2017

DOI: https://doi.org/10.1515/amsil-2017-0016

Palabras clavetime scales, convex functions, Jensen inequality

© 2018 Teodoro Lara, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Palabras clave
time scales, convex functions, Jensen inequality