- Celal Bayar Üniversitesi Fen Bilimleri Dergisi
- Vol: 18 Issue: 4
- Some Perturbed Trapezoid Inequalities for n-times Differentiable Strongly log-Convex Functions
Some Perturbed Trapezoid Inequalities for n-times Differentiable Strongly log-Convex Functions
Authors : Duygu Dönmez Demir, Gülsüm Şanal
Pages : 355-363
View : 8 | Download : 3
Publication Date : 2022-12-26
Article Type : Research
Abstract :The aim of this study is to introduce some inequalities for n-times differentiable strongly log-convex functions. The perturbed trapezoid inequality is used to establish the new inequalities. It is seen that these inequalities have a better upper bound than the inequalities obtained for log-convex functions. Besides, the mentioned inequalities for strongly log-convex functions are reduced to the ones given for log-convex functions with a suitable choice of the arbitrary constant.Keywords : Convex function, log-convex function, strongly log-convex function, perturbed trapezoid inequalities.