(m1,m2)-AG-Convex Functions and Some New Inequalities

Kadakal, Mahir

Manuscript ID : IJM2C-2002-1141 Visit : 230 Page: 13 - 24

Article Type: Original Research

(m1,m2)-AG-Convex Functions and Some New Inequalities

Subject Areas : International Journal of Mathematical Modelling & Computations

Mahir Kadakal ¹

1 - Department of Mathematics, Faculty of Arts and Sciences, Giresun University, 28200, Giresun, Turkey

Received: 2019-12-21 Accepted : 2020-03-01 Published : 2020-03-01

Keywords: (α, (m1, Convex function, m)-convex function, Hermite-Hadamard integral inequality, m2)-AG (logarithmically) convex function,

Abstract :

In this manuscript, we introduce concepts of (m1,m2)-logarithmically convex (AG-convex) functions and establish some Hermite-Hadamard type inequalities of these classes of functions.

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An Lp-Lq-version Of Morgan's Theorem For The Generalized Fourier Transform Associated with a Dunkl Type Operator
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(m1,m2)-AG-Convex Functions and Some New Inequalities