New hermite-Hadamard and Jensen type inequalities for h-convex functions on fractal sets

Miguel Vivas; Jorge Hernández; Nelson Merentes

doi:10.15446/recolma.v50n2.62207

New hermite-Hadamard and Jensen type inequalities for h-convex functions on fractal sets

Miguel Vivas^*, Jorge Hernández, Nelson Merentes

^*Autor correspondiente de este trabajo

Producción científica: Revista › Artículo › revisión exhaustiva

38 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	145-164
Número de páginas	20
Publicación	Revista Colombiana de Matematicas
Volumen	50
N.º	2
DOI	https://doi.org/10.15446/recolma.v50n2.62207
Estado	Publicada - 2016
Publicado de forma externa	Sí

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@article{73411db7b2db4a4b804d7b88da53cb22,

title = "New hermite-Hadamard and Jensen type inequalities for h-convex functions on fractal sets",

abstract = "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.",

keywords = "Fractal sets, Generalized convexity, H-convex functions, Hermite-Hadamard type inequality, Jensen inequality",

author = "Miguel Vivas and Jorge Hern{\'a}ndez and Nelson Merentes",

year = "2016",

doi = "10.15446/recolma.v50n2.62207",

language = "English",

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pages = "145--164",

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T1 - New hermite-Hadamard and Jensen type inequalities for h-convex functions on fractal sets

AU - Vivas, Miguel

AU - Hernández, Jorge

AU - Merentes, Nelson

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Fractal sets

KW - Generalized convexity

KW - H-convex functions

KW - Hermite-Hadamard type inequality

KW - Jensen inequality

UR - https://www.scopus.com/pages/publications/85011371150

U2 - 10.15446/recolma.v50n2.62207

DO - 10.15446/recolma.v50n2.62207

M3 - Article

AN - SCOPUS:85011371150

SN - 0034-7426

VL - 50

SP - 145

EP - 164

JO - Revista Colombiana de Matematicas

JF - Revista Colombiana de Matematicas

IS - 2

ER -

New hermite-Hadamard and Jensen type inequalities for h-convex functions on fractal sets

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