@article{article_775089, title={Certain Generalized Fractional Integral Inequalities}, journal={Advances in the Theory of Nonlinear Analysis and its Application}, volume={4}, pages={252–259}, year={2020}, DOI={10.31197/atnaa.775089}, author={Jangid, Kamlesh and Prohit, Sunil Dutt and Nisar, Kottakkaran Sooppy and Abdeljawad, Thabet}, keywords={Chebyshev functional, Integral inequalities, Saigo $k$-fractional integral operator}, abstract={<p>By employing the Saigo k-fractional integral operators, some new inequalities for the Chebyshev functional <br />are formulated for two synchronous functions in this article. Further generalisations of these inequalities, <br />including three monotonous functions, are also mentioned. In addition, as special cases of our key results, <br />inequalities for the Chebyshev functional about Saigo fractional integrals are obtained. The main results are <br />of a general nature and, as a special case, give rise to integral inequalities describing the Saigo’s, Riemann- <br />Liouville and Erdélyi-Kober fractional integral operators referred to the literature. <br /> </p>}, number={4}, publisher={Erdal KARAPINAR}, organization={NIL}