New results on Hermite-Hadamard type inequalities via Caputo-Fabrizio fractional integral for s-convex function

Nasir J., Qaisar S., Qayyum A., Budak H.

FILOMAT, no.15, pp.4943-4957, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2023
  • Doi Number: 10.2298/fil2315943n
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.4943-4957
  • Kocaeli University Affiliated: No

Abstract

The purpose of this article is to construct on Hermite-Hadamard type inequalities via Caputo-Fabrizio fractional integral for s-convex function. The results are applied to fractional variations of Hermite- Hadamard type inequalities for differentiable mapping phi with s-convex absolute value derivatives. The findings also provide a new lemma for phi ' and new limits via Caputo-Fabrizio fractional operator by using the well-known Ho center dot lder's integral inequalities. Moreover some new bounds for applications of matrix and special means of different positive real numbers are also discussed.