Fractional Integrals and Generalized Olsen Inequalities

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Hermite‐Hadamard inequalities for Riemann‐Liouville fractional integrals of a convex function with respect to a monotone function (2019, background): “Let x = t 2 u + 2−t 2 v and y = 2−t 2 u + t 2 v, then (9) becomes 2g (u + v 2 ) ≤ f ( t 2 u + 2 − t 2 v ) + f (2 − t 2 u + t 2 v ) .”
Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function (2020, methodology): “The representative results include Ostrowski-type inequality [15], Hardy-type inequality [16], Olsen-type inequality [17], Gagliardo-Nirenberg-type inequality [18], and the most well-known inequality of, namely, the Hermite-Hadamard-type inequality [19].”