Kamlesh JANGİD, Sunil Dutt PROHİT, Kottakkaran Sooppy NİSAR, Thabet ABDELJAWAD

Certain Generalized Fractional Integral Inequalities

By employing the Saigo k-fractional integral operators, some new inequalities for the Chebyshev functionalare 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 areof a general nature and, as a special case, give rise to integral inequalities describing the Saigo's, Riemann-Liouville and Erdélyi-Kober fractional integral operators referred to the literature.

Keywords:

Chebyshev functional, Integral inequalities, Saigo $k$-fractional integral operator,

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