New integral type inequalities via Raina-convex functions and its applications
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Date
2021
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Ankara Üniversitesi
Abstract
In this work, we discuss and introduce the novel literature about Raina-convex function and its algebraic properties. In addition, We elaborate and investigate Hermite-Hadamard and Fejer-type inequalities for newly discussed definition. Finally, using newly introduced definition, we find and prove amazing new integral type inequalities and applications for mean to positive real numbers. The amazing techniques and wonderful ideas of this paper may inspire and motivate for further activities and research in this direction furthermore.
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Keywords
Hermite-Hadamard inequality, Hölder's inequality, power mean inequality, Raina-convex function