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Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2020 / Cilt: 10 - Sayı: 2

Simpson Type Integral Inequalities for Harmonic Convex Functions via Conformable Fractional Integrals

Conformable Kesirli İntegraller Aracılığıyla Harmonik Konveks Fonksiyonlar için Simpson Tipi İntegral Eşitsizlikleri

Zeynep ŞANLI
Pages
572–584
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

Then, some interesting conclusions are attained for some special cases of conformable fractional integrals when alpha = 1.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Fractional integral operators are very useful in the field of mathematical analysis and optimization theory.
📊
Key Findings & Data:The main aim of this investigation is to establish a new Simpson type conformable fractional integral equality for harmonically convex functions.
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Conclusion & Impact:Then, some interesting conclusions are attained for some special cases of conformable fractional integrals when alpha = 1.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Fractional integral operators are very useful in the field of mathematical analysis and optimization theory. The main aim of this investigation is to establish a new Simpson type conformable fractional integral equality for harmonically convex functions. Using this identity, some new results related to Simpson-like type conformable fractional integral inequalities are obtained. Then, some interesting conclusions are attained for some special cases of conformable fractional integrals when alpha = 1.

Özet

Kesirli integral operatörleri matematiksel analiz ve optimizasyon teorisi alanlarında oldukça kullanışlıdır. Bu araştırmanın temel amacı harmonik konveks fonksiyonlar için yeni bir Simpson tipi conformable kesirli integral eşitliği kurmaktır. Bu eşitliği kullanarak Simpson tipi conformable kesirli integral eşitsizlikleri ile ilgili bazı yeni sonuçlar elde edildi. Daha sonra, 𝛼 = 1 olduğunda, conformable kesirli integrallerin bazı özel durumları için ilginç sonuçlara ulaşıldı.

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Cite This Article

ŞANLI, Z. (2022). Simpson Type Integral Inequalities for Harmonic Convex Functions via Conformable Fractional Integrals. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 10 - Sayı: 2, 572–584. https://ajindex.com/articles/428458

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