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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Gul I Hina Aslam & Amjad Ali & Khaled Mehrez, 2022. "A Note of Jessen’s Inequality and Their Applications to Mean-Operators," Mathematics, MDPI, vol. 10(6), pages 1-9, March.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:6:p:879-:d:767968
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