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

Publicado

2016-07-01

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

DOI:

https://doi.org/10.15446/recolma.v50n2.62207

Palabras clave:

generalized convexity, h-convex functions, Fractal sets, Hermite-Hadamard type inequality, Jensen inequality (en)

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Autores/as

Miguel Vivas Escuela Superior politécnica del Litoral (ESPOL) Universidad Centroccidental Lisandro Alvarado
Jorge Hernández Universidad Centroccidental Lisandro Alvarado
Nelson Merentes Universidad Central de Venezuela

Resumen (en)

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.

DOI: https://doi.org/10.15446/recolma.v50n2.62207

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

Nuevas desigualdades del tipo Hermite-Hadamard y Jensen para funciones h-convexas sobre conjuntos fractales

Miguel Vivas¹, Jorge Hernández², Nelson Merentes³

¹ Escuela Superior politécnica del Litoral (ESPOL), Guayaquil, Ecuador, Universidad Centroccidental Lisandro Alvarado, Barquisimeto, Venezuela mvivas@ucla.edu.ve, mjvivas@espol.edu.ec
² Universidad Centroccidental Lisandro Alvarado, Barquisimeto, Venezuela. jorgehernandez@ucla.edu.ve
³ Universidad Central de Venezuela, Caracas, Venezuela. nmerucv@gmail.com

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: generalized convexity, h-convex functions, Fractal sets, Hermite-Hadamard type inequality, Jensen inequality.

Mathematics Subject Classification: 53C21, 53C42.

Resumen

En este artículo, se obtienen algunas nuevas desigualdades del tipo Jensen y Hermite-Hadamard para funciones h-convexas sobre conjuntos fractales. Los resultados probados en este artículo pueden estimular futuras investigaciones en esta área.

Palabras claves: convexidad generalizada, funciones h-convexas, conjuntos fractales, desigualdad del tipo Hermite Hadamard, Desigualdad del tipo Jensen.

Texto completo disponible en PDF

References

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Recibido: marzo de 2016 Aceptado: septiembre de 2016

Cómo citar

APA

Vivas, M., Hernández, J. y Merentes, N. (2016). New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets. Revista Colombiana de Matemáticas, 50(2), 145–164. https://doi.org/10.15446/recolma.v50n2.62207

ACM

[1]

Vivas, M., Hernández, J. y Merentes, N. 2016. New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets. Revista Colombiana de Matemáticas. 50, 2 (jul. 2016), 145–164. DOI:https://doi.org/10.15446/recolma.v50n2.62207.

ACS

(1)

Vivas, M.; Hernández, J.; Merentes, N. New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets. rev.colomb.mat 2016, 50, 145-164.

ABNT

VIVAS, M.; HERNÁNDEZ, J.; MERENTES, N. New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets. Revista Colombiana de Matemáticas, [S. l.], v. 50, n. 2, p. 145–164, 2016. DOI: 10.15446/recolma.v50n2.62207. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/62207. Acesso em: 29 may. 2024.

Chicago

Vivas, Miguel, Jorge Hernández, y Nelson Merentes. 2016. «New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets». Revista Colombiana De Matemáticas 50 (2):145-64. https://doi.org/10.15446/recolma.v50n2.62207.

Harvard

Vivas, M., Hernández, J. y Merentes, N. (2016) «New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets», Revista Colombiana de Matemáticas, 50(2), pp. 145–164. doi: 10.15446/recolma.v50n2.62207.

IEEE

[1]

M. Vivas, J. Hernández, y N. Merentes, «New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets», rev.colomb.mat, vol. 50, n.º 2, pp. 145–164, jul. 2016.

MLA

Vivas, M., J. Hernández, y N. Merentes. «New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets». Revista Colombiana de Matemáticas, vol. 50, n.º 2, julio de 2016, pp. 145-64, doi:10.15446/recolma.v50n2.62207.

Turabian

Vivas, Miguel, Jorge Hernández, y Nelson Merentes. «New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets». Revista Colombiana de Matemáticas 50, no. 2 (julio 1, 2016): 145–164. Accedido mayo 29, 2024. https://revistas.unal.edu.co/index.php/recolma/article/view/62207.

Vancouver

1.

Vivas M, Hernández J, Merentes N. New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets. rev.colomb.mat [Internet]. 1 de julio de 2016 [citado 29 de mayo de 2024];50(2):145-64. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/62207

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