Some new generalized Jensen and Hermite-Hadamard inequalities for operator h-convex functions

Miguel Vivas Cortez; H. Jorge E. Hernández; Luis Antonio Azócar

doi:10.18576/amis/110205

Some new generalized Jensen and Hermite-Hadamard inequalities for operator h-convex functions

Miguel Vivas Cortez^*
, H. Jorge E. Hernández
, Luis Antonio Azócar

^*Autor correspondiente de este trabajo

Producción científica: Revista › Artículo › revisión exhaustiva

3 Citas (Scopus)

Resumen

In the present paper we introduce the notion of operator h-convex function. Also, we obtain new Jensen and Hermite-Hadamard inequalities for these operator h-convex functions in Hilbert spaces.

Idioma original	Inglés
Páginas (desde-hasta)	383-392
Número de páginas	10
Publicación	Applied Mathematics and Information Sciences
Volumen	11
N.º	2
DOI	https://doi.org/10.18576/amis/110205
Estado	Publicada - 2017
Publicado de forma externa	Sí

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Publisher Copyright:
© 2017 NSP, Natural Sciences Publishing Cor.

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10.18576/amis/110205

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ALGUNAS DESIGUALDADES INTEGRALES PARA FUNCIONES CONVEXAS GENERALIZADAS Y APLICACIONES
RANGEL OLIVEROS, Y. C. (Investigador principal) & Vivas Cortez, M. J. (Director)
1/03/20 → 2/03/22
Proyecto: Investigación e Innovación

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title = "Some new generalized Jensen and Hermite-Hadamard inequalities for operator h-convex functions",

abstract = "In the present paper we introduce the notion of operator h-convex function. Also, we obtain new Jensen and Hermite-Hadamard inequalities for these operator h-convex functions in Hilbert spaces.",

keywords = "Hermite-Hadamard inequalities, Jensen inequalities type, Operator convex functions, Operator h-convex functions, Self-adjoint operators",

author = "Cortez, \{Miguel Vivas\} and Hern{\'a}ndez, \{H. Jorge E.\} and Az{\'o}car, \{Luis Antonio\}",

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journal = "Applied Mathematics and Information Sciences",

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T1 - Some new generalized Jensen and Hermite-Hadamard inequalities for operator h-convex functions

AU - Cortez, Miguel Vivas

AU - Hernández, H. Jorge E.

AU - Azócar, Luis Antonio

PY - 2017

Y1 - 2017

N2 - In the present paper we introduce the notion of operator h-convex function. Also, we obtain new Jensen and Hermite-Hadamard inequalities for these operator h-convex functions in Hilbert spaces.

AB - In the present paper we introduce the notion of operator h-convex function. Also, we obtain new Jensen and Hermite-Hadamard inequalities for these operator h-convex functions in Hilbert spaces.

KW - Hermite-Hadamard inequalities

KW - Jensen inequalities type

KW - Operator convex functions

KW - Operator h-convex functions

KW - Self-adjoint operators

UR - https://www.scopus.com/pages/publications/85025669054

U2 - 10.18576/amis/110205

DO - 10.18576/amis/110205

M3 - Article

AN - SCOPUS:85025669054

SN - 1935-0090

VL - 11

SP - 383

EP - 392

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 2

ER -

Some new generalized Jensen and Hermite-Hadamard inequalities for operator h-convex functions

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Otros archivos y enlaces

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ALGUNAS DESIGUALDADES INTEGRALES PARA FUNCIONES CONVEXAS GENERALIZADAS Y APLICACIONES

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