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Journals / Fundamentals of Contemporary Mathematical Sciences / 2023 / Volume: 4 Issue: 2

Certain Weighted Fractional Integral Inequalities for Convex Functions

Çetin Yıldız(ATATURK UNIVERSITY)0000-0002-8302-343X
Mustafa Gürbüz(AĞRI İBRAHİM ÇEÇEN ÜNİVERSİTESİ)0000-0002-7092-4298
Pages
—
Publication Date
2023-07-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

It is also seen that the results obtained were generalizations of the previous results presented.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, by using the monotonicity properties of functions, several inequalities for convex functions are obtained with the help of a weighted fractional integral operator which provides a function f to be integrated in fractional order with respect to another function.
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Key Findings & Data:In this study, by using the monotonicity properties of functions, several inequalities for convex functions are obtained with the help of a weighted fractional integral operator which provides a function f to be integrated in fractional order with respect to another function.
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Conclusion & Impact:It is also seen that the results obtained were generalizations of the previous results presented.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Convex functions · Weighted fractional operators · Fractional integral inequality.

Abstract

In this study, by using the monotonicity properties of functions, several inequalities for convex functions are obtained with the help of a weighted fractional integral operator which provides a function f to be integrated in fractional order with respect to another function. It is also seen that the results obtained were generalizations of the previous results presented.

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Cite This Article

Yıldız, Ç., Gürbüz, M. (2023). Certain Weighted Fractional Integral Inequalities for Convex Functions. Fundamentals of Contemporary Mathematical Sciences, Volume: 4 Issue: 2. https://doi.org/10.54974/fcmathsci.1146523

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