Bullen-Mercer type inequalities for the<i> h</i>-convex function with twice differentiable functions

Benaissa B., Azzouz N., Budak H.

FILOMAT, cilt.38, sa.30, ss.10747-10763, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 30
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2430747b
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.10747-10763
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

Bullen-type inequalities for h-convex functions using conformable fractional operators are established in this study on the cone of twice-differentiable functions. This is a novel fractional version of the existing Bullen-type inequalities with simple procedures using the B-function. Furthermore, new results on Bullen-type inequalities are presented for several specific cases of convexity, generalizing existing inequalities known in the literature.