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

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

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.

Original language	English
Pages (from-to)	145-164
Number of pages	20
Journal	Revista Colombiana de Matematicas
Volume	50
Issue number	2
DOIs	https://doi.org/10.15446/recolma.v50n2.62207
State	Published - 2016
Externally published	Yes

Keywords

Fractal sets
Generalized convexity
H-convex functions
Hermite-Hadamard type inequality
Jensen inequality

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10.15446/recolma.v50n2.62207

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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",

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AU - Hernández, Jorge

AU - Merentes, Nelson

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KW - Fractal sets

KW - Generalized convexity

KW - H-convex functions

KW - Hermite-Hadamard type inequality

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

Abstract

Keywords

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