Some Perturbed Trapezoid Inequalities for n-times Differentiable Strongly log-Convex Functions

Year 2022, , 355 - 363, 26.12.2022

Duygu Dönmez Demir , Gülsüm Şanal

https://doi.org/10.18466/cbayarfbe.1106792

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.

Supporting Institution

Yok

Project Number

-

Thanks

-

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