Grüss-Type Inequalities for Vector-Valued Functions

Mohammad W. Alomari; Christophe Chesneau; Víctor Leiva

doi:10.3390/math10091535

Grüss-Type Inequalities for Vector-Valued Functions

Mohammad W. Alomari, Christophe Chesneau, Víctor Leiva

SCHOOL OF INDUSTRIAL ENGINEERING

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

2 Scopus citations

Abstract

Grüss-type inequalities have been widely studied and applied in different contexts. In this work, we provide and prove vectorial versions of Grüss-type inequalities involving vector-valued functions defined on Rⁿ for inner-and cross-products.

Original language	English
Article number	1535
Journal	Mathematics
Volume	10
Issue number	9
DOIs	https://doi.org/10.3390/math10091535
State	Published - 1 May 2022

Keywords

Chebyshev functional
Grüss inequality
function of bounded variation

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title = "Gr{\"u}ss-Type Inequalities for Vector-Valued Functions",

abstract = "Gr{\"u}ss-type inequalities have been widely studied and applied in different contexts. In this work, we provide and prove vectorial versions of Gr{\"u}ss-type inequalities involving vector-valued functions defined on Rn for inner-and cross-products.",

keywords = "Chebyshev functional, Gr{\"u}ss inequality, function of bounded variation",

author = "Alomari, {Mohammad W.} and Christophe Chesneau and V{\'i}ctor Leiva",

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AU - Alomari, Mohammad W.

AU - Chesneau, Christophe

AU - Leiva, Víctor

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N2 - Grüss-type inequalities have been widely studied and applied in different contexts. In this work, we provide and prove vectorial versions of Grüss-type inequalities involving vector-valued functions defined on Rn for inner-and cross-products.

AB - Grüss-type inequalities have been widely studied and applied in different contexts. In this work, we provide and prove vectorial versions of Grüss-type inequalities involving vector-valued functions defined on Rn for inner-and cross-products.

KW - Chebyshev functional

KW - Grüss inequality

KW - function of bounded variation

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U2 - 10.3390/math10091535

DO - 10.3390/math10091535

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VL - 10

JO - Mathematics

JF - Mathematics

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ER -

Grüss-Type Inequalities for Vector-Valued Functions

Abstract

Keywords

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