Some Refinements of the Hermite–Hadamard Inequality with the Help of Weighted Integrals

Bayraktar B., Nápoles J., Rabossi F.

Ukrainian Mathematical Journal, cilt.75, sa.6, ss.842-860, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 75 Sayı: 6
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s11253-023-02232-4
  • Dergi Adı: Ukrainian Mathematical Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.842-860
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

By using the definition of modified (h, m, s)-convex functions of the second type, we present various refinements of the classical Hermite–Hadamard inequality obtained within the framework of weighted integrals. Throughout the paper, we show that various known results available from the literature can be obtained as particular cases of our results.