Sandwich Type Results For m-Convex Real Functions

Sandwich Type Results For m-Convex Real Functions

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.

Bibliographic Details
Main Authors: Lara Teodoro, Rosales Edgar
Format: Article
Language:English
Published: Sciendo 2021-09-01
Series:Annales Mathematicae Silesianae
Subjects:
m-convex function
m-affine function
jensen type inequality
sandwich theorem
26a51
26b25
39b62
Online Access:https://doi.org/10.2478/amsil-2021-0006
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spelling doaj-0a50fd7a32a847b2a3b5f53e3d1a97632021-10-03T07:42:45ZengSciendoAnnales Mathematicae Silesianae2391-42382021-09-0135225025910.2478/amsil-2021-0006Sandwich Type Results For m-Convex Real FunctionsLara Teodoro0Rosales Edgar1Departamento de Física y Matemáticas, Universidad de los Andes, Núcleo “Rafael Rangel”, Trujillo, VenezuelaDepartamento de Física y Matemáticas, Universidad de los Andes, Núcleo “Rafael Rangel”, Trujillo, VenezuelaWe 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.https://doi.org/10.2478/amsil-2021-0006m-convex functionm-affine functionjensen type inequalitysandwich theorem26a5126b2539b62
collection DOAJ
language English
format Article
sources DOAJ
author Lara Teodoro
Rosales Edgar
spellingShingle Lara Teodoro
Rosales Edgar
Sandwich Type Results For m-Convex Real Functions
Annales Mathematicae Silesianae
m-convex function
m-affine function
jensen type inequality
sandwich theorem
26a51
26b25
39b62
author_facet Lara Teodoro
Rosales Edgar
author_sort Lara Teodoro
title Sandwich Type Results For m-Convex Real Functions
title_short Sandwich Type Results For m-Convex Real Functions
title_full Sandwich Type Results For m-Convex Real Functions
title_fullStr Sandwich Type Results For m-Convex Real Functions
title_full_unstemmed Sandwich Type Results For m-Convex Real Functions
title_sort sandwich type results for m-convex real functions
publisher Sciendo
series Annales Mathematicae Silesianae
issn 2391-4238
publishDate 2021-09-01
description 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.
topic m-convex function
m-affine function
jensen type inequality
sandwich theorem
26a51
26b25
39b62
url https://doi.org/10.2478/amsil-2021-0006
work_keys_str_mv AT larateodoro sandwichtyperesultsformconvexrealfunctions
AT rosalesedgar sandwichtyperesultsformconvexrealfunctions
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