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

Demir D. D., Şanal G.

AIMS Mathematics, vol.5, no.6, pp.5495-5509, 2020 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 6
  • Publication Date: 2020
  • Doi Number: 10.3934/math.2020352
  • Journal Name: AIMS Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5495-5509
  • Keywords: Convex function, Perturbed trapezoid inequalities
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In 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.