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On n-times differentiable strongly s-convex functions Cover
Open Access
|Sep 2023

Abstract

In this study, some new inequalities for n-times differentiable strongly s-convex functions are introduced. These inequalities are obtained via the perturbed trapezoid inequality. We obtain a better bound for the mentioned inequalities with the strongly s-convex functions. nth derivatives of absolute values of the handled functions are strongly s-convex. Finally, the theorems presented for strongly s-convex functions are reduced to the ones given for s-convex functions when the constant from strongly s-convexity vanishes.

Language: English
Page range: 201 - 210
Submitted on: Jun 7, 2023
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Accepted on: Aug 11, 2023
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Published on: Sep 13, 2023
Published by: Harran University
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2023 Duygu Dönmez Demir, Gülsüm Şanal, published by Harran University
This work is licensed under the Creative Commons Attribution 4.0 License.