Weighted Hermite–Hadamard type inequalities for differentiable GA-convex and geometrically quasiconvex mappings

Muhammad Amer Latif

doi:10.1216/rmj.2021.51.1899

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December 2021 Weighted Hermite–Hadamard type inequalities for differentiable GA-convex and geometrically quasiconvex mappings

Muhammad Amer Latif

Abstract

We prove new weighted Hermite–Hadamard type inequalities for differentiable GA-convex and geometrically quasiconvex functions. These results generalize many results proved in earlier works for these classes of functions.

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Muhammad Amer Latif. "Weighted Hermite–Hadamard type inequalities for differentiable GA-convex and geometrically quasiconvex mappings." Rocky Mountain J. Math. 51 (6) 1899 - 1908, December 2021. https://doi.org/10.1216/rmj.2021.51.1899

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Received: 27 May 2020; Revised: 16 January 2021; Accepted: 16 February 2021; Published: December 2021

First available in Project Euclid: 22 March 2022

Digital Object Identifier: 10.1216/rmj.2021.51.1899

Subjects:

Primary: 26A06 , 26A24 , 26A51‎

Secondary: 26A33 , 26A36

Keywords: GA-convex function , geometrically quasiconvex function , Hermite–Hadamard’s inequality , Hölder’s integral inequality

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