New integral type inequalities via Raina-convex functions and its applications

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:70 Issue:2
New integral type inequalities via Raina-convex functions and its applications

New integral type inequalities via Raina-convex functions and its applications

Authors : Saad Ihsan BUTT, Muhammad NADEEM, Muhammad TARİQ, Adnan ASLAM

Pages : 1011-1035

Doi:10.31801/cfsuasmas.848853

View : 14 | Download : 39

Publication Date : 2021-12-31

Article Type : Research Paper

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.
Keywords : Hermite Hadamard inequality, Hölder`s inequality, power mean inequality, Raina convex function

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