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Dergiler / 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)
Sayfa
49–57
Yayın Tarihi
2016-09-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez:  In this paper, new identity for fractional integrals have been defined.
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Temel Bulgular & Veri:  In this paper, new identity for fractional integrals have been defined.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (19)

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  18. J. Park, Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (α,m)-Convex Mappings, Int. J. Math. Math. Sci. 2012 (2012), Article ID 809689, 12 pages. doi:10.1155/2012/809689.
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