Makale detayı · 2025
Advancements in Ostrowski type fractional Integral Inequalities via Applications of Jensens and Youngs Inequalities
European Journal of Pure and Applied Mathematics
- Yıl
- 2025
- ISSN
1307-5543- Tür
- article
Veri kaynağı ayrımı
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Özet
İngilizce (OpenAlex)
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 H\"{o}lder inequality, we then apply this identity to provide some new generalizations of Ostrowski type inequality for the convexity of $|\aleph|$. 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.
Konular
- Mathematical Inequalities and Applications
- Nonlinear Differential Equations Analysis
- Fractional Differential Equations Solutions
Birincil konu Mathematical Inequalities and Applications