<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

Online veröffentlicht: 11. Dez. 2019

Seitenbereich: 241 - 255

Eingereicht: 29. März 2019

Akzeptiert: 26. Okt. 2019

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

Schlüsselwörter
-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

Online veröffentlicht: 11. Dez. 2019

Seitenbereich: 241 - 255

Eingereicht: 29. März 2019

Akzeptiert: 26. Okt. 2019

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

Schlüsselwörter-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.

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