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Generalized Taylor’s Formula and Steffensen’s Inequality

Author

Listed:
  • Asfand Fahad

    (School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321004, China
    Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University Multan, Multan 60800, Pakistan)

  • Saad Ihsaan Butt

    (Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan)

  • Josip Pečarić

    (Croatian Academy of Sciences and Arts, 10000 Zagreb, Croatia)

  • Marjan Praljak

    (Faculty of Food Technology and Biotechnology, University of Zagreb, 10000 Zagreb, Croatia)

Abstract

New Steffensen-type inequalities are obtained by combining generalized Taylor expansions, Rabier and Pečarić extensions of Steffensen’s inequality and Faà di Bruno’s formula for higher order derivatives of the composition.

Suggested Citation

  • Asfand Fahad & Saad Ihsaan Butt & Josip Pečarić & Marjan Praljak, 2023. "Generalized Taylor’s Formula and Steffensen’s Inequality," Mathematics, MDPI, vol. 11(16), pages 1-8, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:16:p:3570-:d:1219555
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    References listed on IDEAS

    as
    1. Lin, Qian, 2019. "Jensen inequality for superlinear expectations," Statistics & Probability Letters, Elsevier, vol. 151(C), pages 79-83.
    2. Josip Pečarić & Anamarija Perušić Pribanić & Ksenija Smoljak Kalamir, 2022. "Weighted Hermite–Hadamard-Type Inequalities by Identities Related to Generalizations of Steffensen’s Inequality," Mathematics, MDPI, vol. 10(9), pages 1-10, May.
    Full references (including those not matched with items on IDEAS)

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