Inequalities for the Generalized k-g-Fractional Integrals in Terms of Double Integral Means

Dragomir, Silvestru Sever

doi:10.1007/978-981-13-3013-1_1

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2020

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“…Numerus problems of interests from these fields can be analyzed through the fractional integrals, which can also be regarded as an interesting sub-discipline of fractional calculus. Some of the applications of integral calculus can be seen in the following papers [5,6,7,8], through which problems in physics, chemistry and population dynamics were studied. The fractional integrals were extended to include the Hermite-Hadamard type inequalities, which are classically given as follows.…”

Section: Introductionmentioning

confidence: 99%

Integral Inequalities for s-Convexity via Generalized Fractional Integrals on Fractal Sets

Almutairi

Kılıçman

2020

Mathematics

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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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Section: Introductionmentioning

confidence: 99%