Generalization of different type integral inequalities for s-convex functions via fractional integrals

By Imdat Iscan. 2013

80 citations recorded by the source corpus.

In this paper, a general integral identity for twice differentiable functions is derived. By using of this identity, the author establishes some new estimates on Hermite-Hadamard type and Simpson type inequalities for s-convex via Riemann–Liouville fractional integral.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/cf2e2bd691a814cb722a1472161db67280f06f9e

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In Applied Mathematics

1. M. Kunt
2. Mohamed Jleli
3. Imdat Iscan
4. S. Özcan

Citations in the corpus

• Hermite-Hadamard type inequalities for p-convex functions via fractional integrals (2017, background): “Recently, more and more Hermite-Hadamard inequalities involving fractional integrals have been obtained for different classes of functions; see [1, 5, 11, 16].”
• On Hermite-Hadamard type inequalities via fractional integrals of a function with respect to another function (2016, methodology): “Many generalizations and extensions of the Hermite-Hadamard inequality exist in the literatures; see [1]-[12], [14, 15], [18]-[23] and references therein.”
• Hermite–Hadamard–Fejér Type Inequalities for p-Convex Functions via Fractional Integrals (2017, background): “(7) If one takes p ¼ 1, a ¼ 1 and w xð Þ ¼ 1, one has İşcan (2014d), 2.5.”