On Hermite-Hadamard type inequalities for co-ordinated convex function via conformable fractional integrals

Kiris M. E., Vivas-Cortez M., Bayrak G., Cmar T., Budak H.

AIMS MATHEMATICS, cilt.9, sa.4, ss.10267-10288, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 4
  • Basım Tarihi: 2024
  • Doi Numarası: 10.3934/math.2024502
  • Dergi Adı: AIMS MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.10267-10288
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this study, some new Hermite-Hadamard type inequalities for co-ordinated convex functions were obtained with the help of conformable fractional integrals. We have presented some remarks to give the relation between our results and earlier obtained results. Moreover, an identity for partial differentiable functions has been established. By using this equality and concept of co-ordinated convexity, we have proven a trapezoid type inequality for conformable fractional integrals.