New parameterized inequalities for twice differentiable functions

Budak H., Kara H., Hezenci F., Sarikaya M. Z.

FILOMAT, cilt.37, sa.12, ss.3737-3753, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 12
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2298/fil2312737b
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3737-3753
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

The present paper first establishes that an identity involving generalized fractional integrals is proved for twice differentiable functions by using a parameter. By using this equality, we obtain some parameterized inequalities for the functions whose second derivatives in absolute value are convex. Finally, we show that our main results reduce to trapezoid, midpoint Simpson and Bullen-type inequalities which are proved in earlier published papers.