- Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 15 Issue: 2
- Some New Generalized Inequalities with regard to Two-Dimensional Preinvex Functions
Some New Generalized Inequalities with regard to Two-Dimensional Preinvex Functions
Authors : Nurgül Okur, Fatma Buğlem Yalçin
Pages : 448-460
Doi:10.18185/erzifbed.1016111
View : 14 | Download : 3
Publication Date : 2022-08-31
Article Type : Research
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