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Inequalities generated with Riemann-Liouville fractional integral operator

Name: Inequalities generated with Riemann-Liouville fractional integral operator
Keywords: Simpson's inequality, convex functions, Convex functions, Hadamard type inequalities, Riemann-Liouville fractional integrals;Hadamard type inequalities;Simpson's inequality;convex functions., Simpson’s inequality, Riemann-Liouville fractional integrals

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2019 Turkey English Publisher:Işık University Press

Authors: Gurbuz, M.; Ozturk, O.;

handle: 11729/2696 , 20.500.12501/1344 , 20.500.12501/720

Inequalities generated with Riemann-Liouville fractional integral operator

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Abstract

Selected papers of International Conference on Life and Engineering Sciences (ICOLES 2018), Kyrenia, Cyprus, 2-6 September, 2018. The primary objective of this study is to handle new generalized midpoint, trapezoid and Simpson’s type inequalities with the help of Riemann-Liouville fractional integral operator. In order to do this, a new fractional integral identity is obtained. Then by using this identity, some inequalities for the class of functions whose derivatives in absolute values at certain powers are convex are derived. It is observed that the obtained inequalities are generalizations of some results exist in the literature. Publisher's Version

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Turkey

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Keywords

Simpson's inequality, convex functions, Convex functions, Hadamard type inequalities, Riemann-Liouville fractional integrals;Hadamard type inequalities;Simpson's inequality;convex functions., Simpson’s inequality, Riemann-Liouville fractional integrals

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