Grüss-Type Inequalities for Vector-Valued Functions

Mohammad W. Alomari, Christophe Chesneau and Víctor Leiva
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Mohammad W. Alomari: Department of Mathematics, Faculty of Science and Information Technology, Irbid National University, Irbid 21110, Jordan
Christophe Chesneau: Department of Mathematics, Université de Caen Basse-Normandie, F-14032 Caen, France
Víctor Leiva: School of Industrial Engineering, Pontificia Universidad Católica de Valparaíso, Valparaíso 2362807, Chile

Mathematics, 2022, vol. 10, issue 9, 1-14

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 R n for inner- and cross-products.

Keywords: Chebyshev functional; function of bounded variation; Grüss inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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