- Turkish Journal of Mathematics and Computer Science
- Vol: 13 Issue: 2
- Hermite-Hadamard Type Inequalities Related to s-Convex Functions in the Third Sense
Hermite-Hadamard Type Inequalities Related to s-Convex Functions in the Third Sense
Authors : Zeynep EKEN
Pages : 318-330
Doi:10.47000/tjmcs.909498
View : 4 | Download : 2
Publication Date : 2021-12-31
Article Type : Research
Abstract :In this paper, some Hermite-Hadamard type inequalites for $s$-convex functions in the third sense are studied. It is established several new inequalities for functions whose derivative in absolute value and $p$th power of its derivative in absolute value are $s$-convex in the third sense. In addition, these inequalities are used to find an upper bound for error in numerical integration for this type of functions.Keywords : Hermite-Hadamard inequality, $s$-convex function in the third sense, convexity