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Browsing by Author "Akin, Elvan"

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    Citation - WoS: 14
    Citation - Scopus: 17
    Discrete Gruss Type Inequality on Fractional Calculus
    (Springeropen, 2015) Asliyuce, Serkan; Guvenilir, Ayse Feza; Kaymakcalan, Billur; Akin, Elvan
    We give a discrete Gruss type inequality on fractional calculus.
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    Article
    Citation - WoS: 7
    Citation - Scopus: 7
    Generalization of Mitrinovic-Pecaric Inequalities on Time Scales
    (Rocky Mt Math Consortium, 2021) Akin, Elvan; Kaymakcalan, Billur; El-Deeb, Ahmed A.
    We prove some new inequalities of Mitrinovic-Pecaric inequalities for convex functions on an arbitrary time scale using delta integrals. These inequalities extend and improve some known dynamic inequalities in the literature. The main results will be proved by using Holder and Jensen inequalities and a simple consequence of Keller's and Poetzsche's chain rules on time scales.