New Hadamard-type integral inequalities via a general form of fractional integral operators

The main motivation in this article is to prove a new and general integral identity and to obtain new integral inequalities of various Hadamard types with the help of this identity. Some basic inequalities such as Holder, Young, power-mean and Jensen inequality have been used to obtain inequalities, and it has been determined that the main findings are generalizations and repetitions of many results that exist in the literature. Another impressive aspect of the study is that a new version of the Atangana-Baleanu integral operator is used, which is a very useful integral operator. We have given some simulations to demonsrate the consistency and harmony of this interesting operator for different values of the parameters. (c) 2021 Elsevier Ltd. All rights reserved.

Automated summary

The main purpose of this article is to prove a new and general integral identity and derive new integral inequalities of various Hadamard types using this identity. Basic inequalities such as Holder, Young, power-mean, and Jensen inequality were employed, and it was found that the main results are generalizations and repetitions of existing results in the literature. Additionally, a new version of the Atangana-Baleanu integral operator was utilized, and simulations were provided to demonstrate the consistency and harmony of this operator for different parameter values.