<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We establish necessary and sufficient conditions allowing separation of pair of real functions by an <italic>m</italic>-convex and by an <italic>m</italic>-affine function. Some examples and a geometric interpretation of <italic>m</italic>-convexity of a function is exhibited, as well as a Jensen’s inequality for this kind of function.</p></abstract>

We establish necessary and sufficient conditions allowing separation of pair of real functions by an m-convex and by an m-affine function. Some examples and a geometric interpretation of m-convexity of a function is exhibited, as well as a Jensen’s inequality for this kind of function.

Sandwich Type Results For <italic>m</italic>-Convex Real Functions

Annales Mathematicae Silesianae

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

Sandwich Type Results For -Convex Real Functions

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We establish necessary and sufficient conditions allowing separation of pair of real functions by an m-convex and by an m-affine function. Some examples and a...

Sandwich Type Results For m-Convex Real Functions

Pubblicato online: 26 mag 2021

Pagine: 250 - 259

Ricevuto: 04 ott 2020

Accettato: 14 apr 2021

DOI: https://doi.org/10.2478/amsil-2021-0006

Parole chiave
-convex function, -affine function, Jensen type inequality, sandwich theorem

© 2021 Teodoro Lara et al., published by Sciendo

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

Sandwich Type Results For m-Convex Real Functions

Pubblicato online: 26 mag 2021

Pagine: 250 - 259

Ricevuto: 04 ott 2020

Accettato: 14 apr 2021

DOI: https://doi.org/10.2478/amsil-2021-0006

Parole chiave-convex function, -affine function, Jensen type inequality, sandwich theorem

© 2021 Teodoro Lara et al., published by Sciendo

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

Parole chiave
-convex function, -affine function, Jensen type inequality, sandwich theorem