A study on Milne-type inequalities for a specific fractional integral operator with applications. (English) Zbl 07895575
Summary: Fractional integral operators have been studied extensively in the last few decades by various mathematicians, because it plays a vital role in the developments of new inequalities. The main goal of the current study is to establish some new Milne-type inequalities by using the special type of fractional integral operator i.e Caputo Fabrizio operator. Additionally, generalization of these developed Milne-type inequalities for \(s\)-convex function are also given. Furthermore, applications to some special means, quadrature formula, and \(q\)-digamma functions are presented.
MSC:
| 26D07 | Inequalities involving other types of functions |
| 26D10 | Inequalities involving derivatives and differential and integral operators |
| 26D15 | Inequalities for sums, series and integrals |
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