SOME OSTROWSKI-MERCER TYPE INEQUALITIES FOR DIFFERENTIABLE CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATORS WITH STRONG KERNELS

Butt S. I., Nasir J., Dokuyucu M. A., Akdemir A. O., Set E.

APPLIED AND COMPUTATIONAL MATHEMATICS, vol.21, no.3, pp.329-348, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.30546/1683-6154.21.3.2022.329
  • Journal Name: APPLIED AND COMPUTATIONAL MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.329-348
  • Ondokuz Mayıs University Affiliated: No

Abstract

The focus of this study is to create Ostrowski-Mercer type inequalities that will bring these famous inequalities together with the help of Atangana-Baleanu fractional integral operator. First, an integral identity that has the potential to produce Ostrowski-Mercer type inequalities is proved, and then new results are proved on the basis of this integral identity. By giving various applications of the findings for q- digamma function, Bessel function, and mean functions, the study is aimed to gain a guiding basic study feature for other researchers. The simulations section includes several figures that show the illustrative examples for comparing the left and right hand sides of our results.