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Improvement of Some Hayashi–Ostrowski Type Inequalities with Applications in a Probability Setting

Author

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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)

  • Carlos Martin-Barreiro

    (Faculty of Natural Sciences and Mathematics, Escuela Superior Politécnica del Litoral ESPOL, Guayaquil 090902, Ecuador
    Faculty of Engineering, Universidad Espíritu Santo, Samborondón 0901952, Ecuador)

Abstract

Different types of mathematical inequalities have been largely analyzed and employed. In this paper, we introduce improvements to some Ostrowski type inequalities and present their corresponding proofs. The presented proofs are based on applying the celebrated Hayashi inequality to certain functions. We provide examples that show these improvements. Illustrations of the obtained results are stated in a probability framework.

Suggested Citation

  • Mohammad W. Alomari & Christophe Chesneau & Víctor Leiva & Carlos Martin-Barreiro, 2022. "Improvement of Some Hayashi–Ostrowski Type Inequalities with Applications in a Probability Setting," Mathematics, MDPI, vol. 10(13), pages 1-15, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2316-:d:854286
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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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