m-Convexity and Functional Equations

In this research we aim to explore some properties of m-convex functions from the point of view of functional equations or better, functional inequalities. So far studies of m- convexity have been devoted mainly to establish properties, inequalities and examples on the topic, but not to look at the...

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Main Authors: Lara Teodoro, Quintero Roy, Rosales Edgar
Format: Article
Language:English
Published: Sciendo 2017-06-01
Series:Moroccan Journal of Pure and Applied Analysis
Subjects:
Online Access:https://doi.org/10.1515/mjpaa-2017-0005
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author Lara Teodoro
Quintero Roy
Rosales Edgar
author_facet Lara Teodoro
Quintero Roy
Rosales Edgar
author_sort Lara Teodoro
collection DOAJ
description In this research we aim to explore some properties of m-convex functions from the point of view of functional equations or better, functional inequalities. So far studies of m- convexity have been devoted mainly to establish properties, inequalities and examples on the topic, but not to look at the problem from the perspective of functional inequalities.
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spelling doaj.art-8f7c03bcb11a42cf8f1470410af74a562022-12-21T21:23:31ZengSciendoMoroccan Journal of Pure and Applied Analysis2351-82272017-06-0131566210.1515/mjpaa-2017-0005m-Convexity and Functional EquationsLara Teodoro0Quintero Roy1Rosales Edgar2Departamento de Física y Matemáticas, Universidad de los Andes, N. U. Rafael Rangel. Trujillo, Venezuela (Bolivarian Republic of)Departamento de Física y Matemáticas, Universidad de Los Andes. Trujillo, Venezuela (Bolivarian Republic of)Departamento de Física y Matemáticas, Universidad de los Andes, N. U. Rafael Rangel. Trujillo, Venezuela (Bolivarian Republic of)In this research we aim to explore some properties of m-convex functions from the point of view of functional equations or better, functional inequalities. So far studies of m- convexity have been devoted mainly to establish properties, inequalities and examples on the topic, but not to look at the problem from the perspective of functional inequalities.https://doi.org/10.1515/mjpaa-2017-0005implicit fractional differential equationmodified version of contraction principleexistenceulam-hyers stabilitysuccessive approximations
spellingShingle Lara Teodoro
Quintero Roy
Rosales Edgar
m-Convexity and Functional Equations
Moroccan Journal of Pure and Applied Analysis
implicit fractional differential equation
modified version of contraction principle
existence
ulam-hyers stability
successive approximations
title m-Convexity and Functional Equations
title_full m-Convexity and Functional Equations
title_fullStr m-Convexity and Functional Equations
title_full_unstemmed m-Convexity and Functional Equations
title_short m-Convexity and Functional Equations
title_sort m convexity and functional equations
topic implicit fractional differential equation
modified version of contraction principle
existence
ulam-hyers stability
successive approximations
url https://doi.org/10.1515/mjpaa-2017-0005
work_keys_str_mv AT larateodoro mconvexityandfunctionalequations
AT quinteroroy mconvexityandfunctionalequations
AT rosalesedgar mconvexityandfunctionalequations