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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Vydáno v:Revista colombiana de matemáticas Ročník 50; číslo 2; s. 145 - 164
Hlavní autoři: Vivas, Miguel, Hernández, Jorge, Merentes, Nelson
Médium: Journal Article
Jazyk:angličtina
Vydáno: Bogota Universidad Nacional de Colombia 26.01.2017
Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas
Témata:
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
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0034-7426
2357-4100
DOI:10.15446/recolma.v50n2.62207