Perturbed trapezoid inequalities for n th order differentiable convex functions and their applications

Demir D.D.Şanal G.2024-07-222024-07-22202024736988http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/14218In this study, we introduce a new general identity for n th order differentiable functions. Also, we establish some new inequalities regarding general perturbed trapezoid inequality for the functions whose the absolute values of n th derivatives are convex. Finally, some applications for special means are provided. © 2020 the Author(s), licensee AIMS Press.EnglishAll Open Access; Gold Open AccessPerturbed trapezoid inequalities for n th order differentiable convex functions and their applicationsArticle10.3934/math.2020352