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Journals / New Trends in Mathematical Sciences / 2026 / Cilt: 4 Sayı: 3

On generalization of different type inequalities for (α,m)-convex functions via fractional integrals

İmdat Iscan(Giresun University)
Mustafa Aydin(Giresun University)
Kerim Bekar(Giresun University)
Pages
49–57
Publication Date
2016-09-30
DOI
—
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AI Summary & Key Takeaways

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

By using of this identity, the authors obtained new general inequalities containing all of Hadamard, Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power are -convex via Riemann Liouville fractional integral.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:  In this paper, new identity for fractional integrals have been defined.
📊
Key Findings & Data:  In this paper, new identity for fractional integrals have been defined.
💡
Conclusion & Impact:By using of this identity, the authors obtained new general inequalities containing all of Hadamard, Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power are -convex via Riemann Liouville fractional integral.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Hermite–Hadamard inequality · Riemann–Liouville fractional integral · Hermite–Hadamard inequality

Abstract

  In this paper, new identity for fractional integrals have been defined. By using of this identity, the authors obtained new general inequalities containing all of Hadamard, Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power are -convex via Riemann Liouville fractional integral.

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Cite This Article

Iscan, İ., Aydin, M., Bekar, K. (2016). On generalization of different type inequalities for (α,m)-convex functions via fractional integrals. New Trends in Mathematical Sciences, Cilt: 4 Sayı: 3, 49–57. https://ajindex.com/articles/1657724

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References (19)

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