Dergiler / Fundamental Journal of Mathematics and Applications / 2026 / Volume: 9 Issue: 3

Novel Extensions of Ostrowski–Grüss Type Inequalities Using Katugampola Fractional Integrals

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Yayın Tarihi
2026-09-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

By selecting appropriate parameter values, we demonstrate that our findings reduce to classical inequalities previously reported in the literature.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:By selecting appropriate parameter values, we demonstrate that our findings reduce to classical inequalities previously reported in the literature.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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

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Kaynakça (15)

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