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.

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Bibliographic Details
Published in:Revista colombiana de matemáticas Vol. 50; no. 2; pp. 145 - 164
Main Authors: Vivas, Miguel, Hernández, Jorge, Merentes, Nelson
Format: Journal Article
Language:English
Published: Bogota Universidad Nacional de Colombia 26.01.2017
Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas
Subjects:
Convex analysis
Inequalities
Inequality
MATHEMATICS
Theoretical mathematics
funciones h-convexas
desigualdad del tipo Hermite Hadamard
h-convex functions
convexidad generalizada
conjuntos fractales
Hermite-Hadamard type inequality
Desigualdad del tipo Jensen
Jensen inequality
Fractal sets
generalized convexity
ISSN:0034-7426, 2357-4100
Online Access:Get full text
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Summary: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.
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content type line 14
ISSN:0034-7426
2357-4100
DOI:10.15446/recolma.v50n2.62207