Advancements in Ostrowski type fractional Integral Inequalities via Applications of Jensen’s and Young’s Inequalities

Rahman G., Samraiz M., YILDIZ Ç., Alghafli M. A., Mlaiki N.

European Journal of Pure and Applied Mathematics, cilt.18, sa.2, 2025 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 2
  • Basım Tarihi: 2025
  • Doi Numarası: 10.29020/nybg.ejpam.v18i2.5816
  • Dergi Adı: European Journal of Pure and Applied Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Anahtar Kelimeler: convex function, fractional operators, power mean inequality, Young inequality
  • Atatürk Üniversitesi Adresli: Evet

Özet

Fractional integral operators and convexity have a close link due to their fascinating properties in the mathematical sciences. In this paper, we first establish an integral identity involving the generalized Hattaf-fractional integral operators. By using the Jensen integral inequality, Young’s inequality, power-mean inequality, and Hölder inequality, we then apply this identity to provide some new generalizations of Ostrowski type inequality for the convexity of |ℵ|. Furthermore, we deduce several special cases from the main results. The results of this novel investigation should lead to new discoveries in the area of fractional calculus and inequalities.