Strongly convexity on fractal sets and some inequalities

Abstract We introduce a generalization of the concept of a strongly convex function on a fractal set, study some algebraic properties and establish Jensen-type and Hermite-Hadamard-type inequalities.

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Autores principales: Sánchez C.,Rainier V., Sanabria,José E.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2020
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100001
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spelling oai:scielo:S0716-091720200001000012020-02-18Strongly convexity on fractal sets and some inequalitiesSánchez C.,Rainier V.Sanabria,José E. Convex function Generalized convex function Strongly convex function Fractal set Abstract We introduce a generalization of the concept of a strongly convex function on a fractal set, study some algebraic properties and establish Jensen-type and Hermite-Hadamard-type inequalities.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.1 20202020-02-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100001en10.22199/issn.0717-6279-2020-01-0001
institution Scielo Chile
collection Scielo Chile
language English
topic Convex function
Generalized convex function
Strongly convex function
Fractal set
spellingShingle Convex function
Generalized convex function
Strongly convex function
Fractal set
Sánchez C.,Rainier V.
Sanabria,José E.
Strongly convexity on fractal sets and some inequalities
description Abstract We introduce a generalization of the concept of a strongly convex function on a fractal set, study some algebraic properties and establish Jensen-type and Hermite-Hadamard-type inequalities.
author Sánchez C.,Rainier V.
Sanabria,José E.
author_facet Sánchez C.,Rainier V.
Sanabria,José E.
author_sort Sánchez C.,Rainier V.
title Strongly convexity on fractal sets and some inequalities
title_short Strongly convexity on fractal sets and some inequalities
title_full Strongly convexity on fractal sets and some inequalities
title_fullStr Strongly convexity on fractal sets and some inequalities
title_full_unstemmed Strongly convexity on fractal sets and some inequalities
title_sort strongly convexity on fractal sets and some inequalities
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2020
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100001
work_keys_str_mv AT sanchezcrainierv stronglyconvexityonfractalsetsandsomeinequalities
AT sanabriajosee stronglyconvexityonfractalsetsandsomeinequalities
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