A Note of Jessen’s Inequality and Their Applications to Mean-Operators

Gul I Hina Aslam, Amjad Ali and Khaled Mehrez
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Gul I Hina Aslam: Pakistan Navy Engineering College, National University of Sciences and Technology, Karachi 74000, Pakistan
Amjad Ali: Faculty of Science and Technology, University of Debrecen, 4001 Debrecen, Hungary
Khaled Mehrez: Département de Mathématiques, Faculté des Sciences de Tunis, Université Tunis El Manar, Tunis 1068, Tunisia

Mathematics, 2022, vol. 10, issue 6, 1-9

Abstract: A variant of Jessen’s type inequality for a semigroup of positive linear operators, defined on a Banach lattice algebra, is obtained. The corresponding mean value theorems lead to a new family of mean-operators.

Keywords: Jessen’s type inequalities; positive semigroup of operators; mean-operators (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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