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Grüss-Type Inequalities for Vector-Valued Functions

Author

Listed:
  • 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)

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.

Suggested Citation

  • Mohammad W. Alomari & Christophe Chesneau & Víctor Leiva, 2022. "Grüss-Type Inequalities for Vector-Valued Functions," Mathematics, MDPI, vol. 10(9), pages 1-14, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1535-:d:807838
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    References listed on IDEAS

    as
    1. Seth Kermausuor & Eze R. Nwaeze, 2018. "A Parameter-Based Ostrowski–Grüss Type Inequalities with Multiple Points for Derivatives Bounded by Functions on Time Scales," Mathematics, MDPI, vol. 6(12), pages 1-15, December.
    2. Sanja Kovač & Ana Vukelić, 2022. "Companion to the Ostrowski–Grüss-Type Inequality of the Chebyshev Functional with an Application," Mathematics, MDPI, vol. 10(5), pages 1-10, February.
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