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

Year 2021, Volume: 70 Issue: 2, 1011 - 1035, 31.12.2021

Saad Ihsan Butt , Muhammad Nadeem Muhammad Tariq Adnan Aslam

https://doi.org/10.31801/cfsuasmas.848853

Cited By: 2

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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