Certain Generalized Fractional Integral Inequalities

Year 2020, , 252 - 259, 30.12.2020

Kamlesh Jangid Sunil Dutt Prohit , Kottakkaran Sooppy Nisar , Thabet Abdeljawad

https://doi.org/10.31197/atnaa.775089

Cited By: 1

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

Supporting Institution

NIL

Project Number

NIL

Thanks

NIL

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