Ostrowski inequality for generalized fractional integral and related inequalities

By H. Yildirima, Zeynep KIRTAYb. 2014

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Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function (2019, background): “([31,37]) A function U (ξ) is said to be in Lq,r[0, ∞] space if”
Hermite–Hadamard and Hermite–Hadamard–Fejér type inequalities for generalized fractional integrals ☆ (2016, background): “t the derivatives in question satisfy the fractional derivative criteria (test) given in [20, 32]. These operators have applications in ﬁelds such as in probability theory [1], theory of inequalities [9, 40, 43], variational principle [2], numerical analysis [3], and Langevin equations [39]. A Caput”
On Ostrowski type inequalities (2016, background): “In [20], Yildirim and Kirtay prove new generalizations for Ostrowski type inequalities by using the following fractional integral operators:”
Existence and Uniqueness results for a class of Generalized Fractional Differential Equations (2014, background): “ that the derivatives in question satisfy the fractional derivative criteria (test) given in [19,34]. These operators have applications in areas such as probability theory [5], theory of inequalities [10,15,41], variational principle [6], numerical analysis [7], and Langevin equations [40]. The inte”