Advancements in Ostrowski type fractional Integral Inequalities via Applications of Jensen’s and Young’s Inequalities
European Journal of Pure and Applied Mathematics, cilt.18, sa.2, 2025 (ESCI, Scopus)
- 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.