Integral inequalities for s-convexity via generalized fractional integrals on fractal sets

Ohud Almutairi; Adem Kilicman

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arXiv · 1911.10045

Integral inequalities for s-convexity via generalized fractional integrals on fractal sets

Ohud Almutairi·Adem Kilicman

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Abstract

In this study, we establish a new integral inequalities of Hermite-Hadamard type for $s$-convexity via Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann-Liouville into a single form. We show that the new integral inequalities of Hermite-Hadamard type can be obtained via the Riemann-Liouville fractional integral. Finally, we give some applications to special means.

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Ohud Almutairi, Adem Kilicman. 2019-11-15. Integral inequalities for s-convexity via generalized fractional integrals on fractal sets. https://arxiv.org/abs/1911.10045

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