SIMPSON’S TYPE INEQUALITIES VIA THE KATUGAMPOLA FRACTIONAL INTEGRALS FOR s-CONVEX FUNCTIONS Article Swipe

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Mathematics Hadamard transform Type (biology) Fractional calculus Pure mathematics Convex function Regular polygon Hadamard three-lines theorem Mathematical analysis Hadamard product Geometry Biology Ecology

Seth Kermausuor ·

YOU? · · 2021 · Open Access · · DOI: https://doi.org/10.46793/kgjmat2105.709k · OA: W4252571199

In this paper, we introduce some Simpson’s type integral inequalities via the Katugampola fractional integrals for functions whose ﬁrst derivatives at certain powers are s-convex (in the second sense). The Katugampola fractional integrals are generalizations of the Riemann–Liouville and Hadamard fractional integrals. Hence, our results generalize some results in the literature related to the Riemann–Liouville fractional integrals. Results related to the Hadamard fractional integrals could also be derived from our results.