SOME OSTROWSKI-MERCER TYPE INEQUALITIES FOR DIFFERENTIABLE CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATORS WITH STRONG KERNELS
APPLIED AND COMPUTATIONAL MATHEMATICS, vol.21, no.3, pp.329-348, 2022 (SCI-Expanded, Scopus)
- 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.