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

2019/11/15 by Ohud Almutairi, Adem Kılıçman, Almutairi, Ohud +1
Mathematics · #Approximation Theory and Sequence Spaces #FOS: Mathematics #General Mathematics (math.GM) #Mathematical Inequalities and Applications #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1911.10045

openalex publication_date 2019/11/15 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

In this study, we establish a new integral inequalities of Hermite-Hadamard\ntype for s-convexity via Katugampola fractional integral. This generalizes\nthe Hadamard fractional integrals and Riemann-Liouville into a single form. We\nshow that the new integral inequalities of Hermite-Hadamard type can be\nobtained via the Riemann-Liouville fractional integral. Finally, we give some\napplications to special means.\n

Related

• Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals
• Generalised Local Fractional Hermite-Hadamard Type Inequalities on Fractal Sets
• Fractional Integral Inequalities via s-Convex Functions
• Hermite-Hadamard-Fejer type inequalities for s-convex function in the second sense via fractional integrals
• Hermite-hadamard type inequalities for generalized s-convex functions on real linear fractal set ℝ^α(0<α<1)