Refinements for Hermite-Hadamard type inequalities for operator h-convex function

Miguel Vivas Cortez; H. Jorge E. Hernández

doi:10.18576/amis/110507

Refinements for Hermite-Hadamard type inequalities for operator h-convex function

Miguel Vivas Cortez^*
, H. Jorge E. Hernández

^*Corresponding author for this work

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

7 Scopus citations

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.

Original language	English
Pages (from-to)	1299-1307
Number of pages	9
Journal	Applied Mathematics and Information Sciences
Volume	11
Issue number	5
DOIs	https://doi.org/10.18576/amis/110507
State	Published - 1 Sep 2017
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2017 NSP Natural Sciences Publishing Cor.

Keywords

Hermite- Hadamard inequalities
Jensen inequalities type
Operator convex functions
Operator h- convex functions
Self-adjoint operators

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10.18576/amis/110507

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title = "Refinements for Hermite-Hadamard type inequalities for operator h-convex function",

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",

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T1 - Refinements for Hermite-Hadamard type inequalities for operator h-convex function

AU - Cortez, Miguel Vivas

AU - Hernández, H. Jorge E.

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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/85028623868

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DO - 10.18576/amis/110507

M3 - Article

AN - SCOPUS:85028623868

SN - 1935-0090

VL - 11

SP - 1299

EP - 1307

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 5

ER -

Refinements for Hermite-Hadamard type inequalities for operator h-convex function

Abstract

Bibliographical note

Keywords

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