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Weighted Hermite–Hadamard-Type Inequalities by Identities Related to Generalizations of Steffensen’s Inequality

Author

Listed:
  • Josip Pečarić

    (Croatian Academy of Sciences and Arts, Trg Nikole Šubića Zrinskog 11, 10000 Zagreb, Croatia)

  • Anamarija Perušić Pribanić

    (Faculty of Civil Engineering, University of Rijeka, Radmile Matejčić 3, 51000 Rijeka, Croatia)

  • Ksenija Smoljak Kalamir

    (Faculty of Textile Technology, University of Zagreb, Prilaz Baruna Filipovića 28a, 10000 Zagreb, Croatia)

Abstract

In this paper, we obtain some new weighted Hermite–Hadamard-type inequalities for ( n + 2 ) − convex functions by utilizing generalizations of Steffensen’s inequality via Taylor’s formula.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1505-:d:807079
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    Cited by:

    1. 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.

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