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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
By selecting appropriate parameter values, we demonstrate that our findings reduce to classical inequalities previously reported in the literature.
📌 3 Key Takeaways
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Objective & Hypothesis:This study explores Ostrowski and Ostrowski–Grüss type inequalities within the framework of Katugampola fractional integrals, aiming to establish novel and more generalized formulations.
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Key Findings & Data:Motivated by the increasing importance of fractional calculus in modeling complex phenomena across applied mathematics, physics, and engineering, we derive new inequalities that extend and refine existing results.
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Conclusion & Impact:By selecting appropriate parameter values, we demonstrate that our findings reduce to classical inequalities previously reported in the literature.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Fractional Integral Inequalities · Katugampola Fractional Integral · Ostrowski-Type Inequalities
Abstract
This study explores Ostrowski and Ostrowski–Grüss type inequalities within the framework of Katugampola fractional integrals, aiming to establish novel and more generalized formulations. Motivated by the increasing importance of fractional calculus in modeling complex phenomena across applied mathematics, physics, and engineering, we derive new inequalities that extend and refine existing results. By selecting appropriate parameter values, we demonstrate that our findings reduce to classical inequalities previously reported in the literature.
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Cite This Article
Ödemiş, C., Akkurt, A. (2026). Novel Extensions of Ostrowski–Grüss Type Inequalities Using Katugampola Fractional Integrals. Fundamental Journal of Mathematics and Applications, Volume: 9 Issue: 3. https://doi.org/10.33401/fujma.1810059