<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this research we introduce the concept of <italic>m</italic>-convex function of higher order by means of the so called <italic>m</italic>-divided difference; elementary properties of this type of functions are exhibited and some examples are provided.</p></abstract>

In this research we introduce the concept of m-convex function of higher order by means of the so called m-divided difference; elementary properties of this type of functions are exhibited and some examples are provided.

<italic>m</italic>-Convex Functions of Higher Order

Annales Mathematicae Silesianae

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

{"article-title":{"italic":"m","content":"-Convex Functions of Higher Order"}}

In this research we introduce the concept of m-convex function of higher order by means of the so called m-divided difference; elementary properties of this...

m-Convex Functions of Higher Order

Published Online: Dec 11, 2019

Page range: 241 - 255

Received: Mar 29, 2019

Accepted: Oct 26, 2019

DOI: https://doi.org/10.2478/amsil-2019-0013

Keywords
-convex functions, -convex functions of higher order, difference operator, -divided difference, positively homogeneous function

© 2020 Teodoro Lara et al., published by Sciendo

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

m-Convex Functions of Higher Order

Published Online: Dec 11, 2019

Page range: 241 - 255

Received: Mar 29, 2019

Accepted: Oct 26, 2019

DOI: https://doi.org/10.2478/amsil-2019-0013

Keywords-convex functions, -convex functions of higher order, difference operator, -divided difference, positively homogeneous function

© 2020 Teodoro Lara et al., published by Sciendo

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

Keywords
-convex functions, -convex functions of higher order, difference operator, -divided difference, positively homogeneous function