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Journals / Fundamental Journal of Mathematics and Applications / 2026 / Volume: 8 Issue: 1

Conformable Fractional Milne-Type Inequalities Through Twice-Differentiable Convex Functions

İzzettin Demir(DÜZCE ÜNİVERSİTESİ)0000-0003-0298-2872
Esra Üneş(DUZCE UNIVERSITY)0009-0005-8670-6075
Pages
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Publication Date
2025-03-31
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AI Summary & Key Takeaways

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

Moreover, along with expanding on previous results, our results suggest effective approaches and methods for dealing with a variety of mathematical and scientific issues.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, we present a new integral identity based on conformable fractional integral operators with the help of twice-differentiable functions.
📊
Key Findings & Data:Then, using this newly derived identity, we propose several Milne-type inequalities for twice-differentiable convex functions by means of conformable fractional integral operators and offer an example with an associated graph.
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Conclusion & Impact:Moreover, along with expanding on previous results, our results suggest effective approaches and methods for dealing with a variety of mathematical and scientific issues.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Conformable fractional integrals · Convex functions · Milne-type integral inequalities

Abstract

In this article, we present a new integral identity based on conformable fractional integral operators with the help of twice-differentiable functions. Then, using this newly derived identity, we propose several Milne-type inequalities for twice-differentiable convex functions by means of conformable fractional integral operators and offer an example with an associated graph. Also, we note that the obtained results improve and expand some of the previous discoveries in the field of integral inequalities. Moreover, along with expanding on previous results, our results suggest effective approaches and methods for dealing with a variety of mathematical and scientific issues.

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Cite This Article

Demir, İ., Üneş, E. (2025). Conformable Fractional Milne-Type Inequalities Through Twice-Differentiable Convex Functions. Fundamental Journal of Mathematics and Applications, Volume: 8 Issue: 1. https://doi.org/10.33401/fujma.1610936

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