$\left(m_{1},m_{2}\right)$-GG Convex Functions and Related Inequalities

Year 2020, Volume: 8 Issue: 2, 313 - 321, 27.10.2020

Huriye Kadakal , Kerim Bekar

Abstract

In this manuscript, we introduce and study the concept of $\left( m_{1},m_{2}\right) $-GG convex functions and some algebraic properties of them. In addition, we obtain Hermite-Hadamard type inequalities for the newly introduced class of functions by using an identity and Hölder, Hölder-İşcan, power-mean and improved power-mean integral inequalities.                                                                                                                                                                                                                                                                                                                                                          

Keywords

Convex function, geometric convexity, GG-convex function, (m1;m2)-GG convex function, Hermite-Hadamard type inequalities

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