Fractional Milne-type inequalities for twice differentiable functions

Almoneef A. A., Hyder A., Budak H., Barakat M. A.

AIMS MATHEMATICS, cilt.9, sa.7, ss.19771-19785, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 7
  • Basım Tarihi: 2024
  • Doi Numarası: 10.3934/math.2024965
  • Dergi Adı: AIMS MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.19771-19785
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this study, a specific identity was derived for functions that possess two continuous derivatives. Through the utilization of this identity and Riemann-Liouville fractional integrals, several fractional Milne-type inequalities were established for functions whose second derivatives inside the absolute value are convex. Additionally, an example and a graphical representation are included to clarify the core findings of our research.