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

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

2 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)	383-392
Number of pages	10
Journal	Applied Mathematics and Information Sciences
Volume	11
Issue number	2
DOIs	https://doi.org/10.18576/amis/110205
State	Published - 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/110205

Cite this

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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",

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AU - Cortez, Miguel Vivas

AU - Hernández, H. Jorge E.

AU - Azócar, Luis Antonio

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KW - Hermite-Hadamard inequalities

KW - Jensen inequalities type

KW - Operator convex functions

KW - Operator h-convex functions

KW - Self-adjoint operators

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DO - 10.18576/amis/110205

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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

Abstract

Bibliographical note

Keywords

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