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

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Mathematical Sciences and Applications E-Notes
Volume:10 Issue:2
$left(m_{1},m_{2}right) $-Geometric Arithmetically Convex Functions and Related Inequalities

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

Authors : Mahir KADAKAL

Pages : 63-71

View : 44 | Download : 8

Publication Date : 2022-06-01

Article Type : Research Paper

Abstract :In this manuscript, we introduce and study the concept of $\leftinsert ignore into journalissuearticles values( m_{1},m_{2}\right); $-geometric arithmetically insert ignore into journalissuearticles values(GA); convex functions and their some algebric properties. In addition, we obtain Hermite-Hadamard type inequalities for the newly introduced this type of functions whose derivatives in absolute value are the class of $\leftinsert ignore into journalissuearticles values( m_{1},m_{2}\right); $ -GA-convex functions by using both well-known power mean and Hölder`s integral inequalities.
Keywords : Convex function, m convex function m1, m2, GA convex function, Hermite Hadamard inequality

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