Certain Generalized Fractional Integral Inequalities

• Main Authors: Kamlesh Jangid, Sunil Dutt Purohit, Kottakkaran Sooppy Nisar, Thabet Abdeljawad
• Format: Article
• Language: English
• Published: ATNAA 2020-10-01
• Series: Advances in the Theory of Nonlinear Analysis and its Applications
• Subjects: chebyshev functional; integral inequalities; saigo k-fractional integral operator
• Online Access: https://dergipark.org.tr/tr/download/article-file/1220367

By employing the Saigo k-fractional integral operators, some new inequalities for the Chebyshev functional are formulated for two synchronous functions in this article. Further generalisations of these inequalities, including three monotonous functions, are also mentioned. In addition, as special cases of our key results, inequalities for the Chebyshev functional about Saigo fractional integrals are obtained. The main results are of a general nature and, as a special case, give rise to integral inequalities describing the Saigo's, RiemannLiouville and Erdélyi-Kober fractional integral operators referred to the literature.