Some New Generalized Inequalities with regard to Two-Dimensional Preinvex Functions

Year 2022, , 448 - 460, 31.08.2022

Nurgül Okur , Fatma Buğlem Yalçın

https://doi.org/10.18185/erzifbed.1016111

Abstract

In this study, we investigated the general convexity of functions which is named preinvexity. Firstly, we generalized Hermite-Hadamard type integral inequality for two-dimensional preinvex functions. Then, we obtained a generalization of Ostrowski type integral inequality for two-dimensional preinvex functions. Besides, we derived some new generalized inequalities related to these functions.

Keywords

Preinvexity, Hermite-Hadamard type inequality, Two-dimensional preinvex functions, Ostrowski inequality

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