New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets

In this paper, some new Jensen and Hermite-Hadamard inequalities for h-convex functions on fractal sets are obtained. Results proved in this paper may stimulate further research in this area.

Autores:
Vivas, Miguel
Hernández, Jorge
Merentes, Nelson
Tipo de recurso:
Article of journal
Fecha de publicación:
2016
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66444
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66444
http://bdigital.unal.edu.co/67472/
Palabra clave:
51 Matemáticas / Mathematics
generalized convexity
h-convex functions
Fractal sets
Hermite-Hadamard type inequality
Jensen inequality
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Vivas, Miguel1b99c91a-507b-4ca9-9a78-f773347bf04d300Hernández, Jorgeb3796a35-df73-4f68-8127-9381bbb325ed300Merentes, Nelson8acbdc08-143c-409f-97eb-b95eab40f45f3002019-07-03T02:08:23Z2019-07-03T02:08:23Z2016-07-01ISSN: 2357-4100https://repositorio.unal.edu.co/handle/unal/66444http://bdigital.unal.edu.co/67472/In this paper, some new Jensen and Hermite-Hadamard inequalities for h-convex functions on fractal sets are obtained. Results proved in this paper may stimulate further research in this area.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticashttps://revistas.unal.edu.co/index.php/recolma/article/view/62207Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasVivas, Miguel and Hernández, Jorge and Merentes, Nelson (2016) New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets. Revista Colombiana de Matemáticas, 50 (2). pp. 145-164. ISSN 2357-410051 Matemáticas / Mathematicsgeneralized convexityh-convex functionsFractal setsHermite-Hadamard type inequalityJensen inequalityNew Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal SetsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL62207-316270-1-SM.pdfapplication/pdf393965https://repositorio.unal.edu.co/bitstream/unal/66444/1/62207-316270-1-SM.pdfa0c2cafd5dcfe7ff852bf6f9357d4be6MD51THUMBNAIL62207-316270-1-SM.pdf.jpg62207-316270-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg4952https://repositorio.unal.edu.co/bitstream/unal/66444/2/62207-316270-1-SM.pdf.jpg67d9020f59ed3489fdb1ea4819a7f127MD52unal/66444oai:repositorio.unal.edu.co:unal/664442024-05-16 23:09:26.341Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets
title New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets
spellingShingle New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets
51 Matemáticas / Mathematics
generalized convexity
h-convex functions
Fractal sets
Hermite-Hadamard type inequality
Jensen inequality
title_short New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets
title_full New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets
title_fullStr New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets
title_full_unstemmed New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets
title_sort New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets
dc.creator.fl_str_mv Vivas, Miguel
Hernández, Jorge
Merentes, Nelson
dc.contributor.author.spa.fl_str_mv Vivas, Miguel
Hernández, Jorge
Merentes, Nelson
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
topic 51 Matemáticas / Mathematics
generalized convexity
h-convex functions
Fractal sets
Hermite-Hadamard type inequality
Jensen inequality
dc.subject.proposal.spa.fl_str_mv generalized convexity
h-convex functions
Fractal sets
Hermite-Hadamard type inequality
Jensen inequality
description In this paper, some new Jensen and Hermite-Hadamard inequalities for h-convex functions on fractal sets are obtained. Results proved in this paper may stimulate further research in this area.
publishDate 2016
dc.date.issued.spa.fl_str_mv 2016-07-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:08:23Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:08:23Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.issn.spa.fl_str_mv ISSN: 2357-4100
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/66444
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/67472/
identifier_str_mv ISSN: 2357-4100
url https://repositorio.unal.edu.co/handle/unal/66444
http://bdigital.unal.edu.co/67472/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/recolma/article/view/62207
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.references.spa.fl_str_mv Vivas, Miguel and Hernández, Jorge and Merentes, Nelson (2016) New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets. Revista Colombiana de Matemáticas, 50 (2). pp. 145-164. ISSN 2357-4100
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/66444/1/62207-316270-1-SM.pdf
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