Certain Generalized Fractional Integral Inequalities

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:4 Issue:4
Certain Generalized Fractional Integral Inequalities

Certain Generalized Fractional Integral Inequalities

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

Pages : 252-259

Doi:10.31197/atnaa.775089

View : 16 | Download : 12

Publication Date : 2020-12-30

Article Type : Research Paper

Abstract :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, 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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