Some Further Refinements of Hermite-Hadamard Type Inequalities for Harmonically Convex and P-Convex Functions via Fractional Integrals


Benbachir M., Chabane F., İşcan İ.

Iranian Journal of Mathematical Sciences and Informatics, cilt.21, sa.1, ss.197-216, 2026 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 1
  • Basım Tarihi: 2026
  • Doi Numarası: 10.61882/ijmsi.21.1.197
  • Dergi Adı: Iranian Journal of Mathematical Sciences and Informatics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.197-216
  • Anahtar Kelimeler: Fractional integral, Harmonically convex function, Hermite-Hadamard inequality, PConvex function, Refinement
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

Özet

It is well known that Hermite-Hadamard inequality generates an estimate of the mean value of the convex function over a bounded interval, in this work we investigate some Hermite-Hadamard type integral inequalities for p-convex functions and harmonically convex functions in fractional integral forms. Precisely, we provide extensions better than those existing in earlier works.