Certain Inequalities Involving Pathway Fractional Integral Operators
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Belarbi and Dahmani \cite{BD}, recently, using the Riemann-Liouville fractional integral, presented some interesting integral inequalities for the Chebyshev functional in the case of two synchronous functions. Subsequently, Dahmani \emph{et al.} \cite{DMB} and Sulaiman \cite{SU}, provided some fractional integral inequalities. Here, motivated essentially by Belarbi and Dahmani's work \cite{BD}, we aim at establishing certain (presumably) new inequalities associated with pathway fractional integral operators by using synchronous functions which are involved in the Chebychev functional. Relevant connections of the results presented here with those involving Riemann-Liouville fractional integrals are also pointed out.
Abstract
Belarbi and Dahmani \cite{BD}, recently, using the Riemann-Liouville fractional integral, presented some interesting integral inequalities for the Chebyshev functional in the case of two synchronous functions. Subsequently, Dahmani \emph{et al.} \cite{DMB} and Sulaiman \cite{SU}, provided some fractional integral inequalities. Here, motivated essentially by Belarbi and Dahmani's work \cite{BD}, we aim at establishing certain (presumably) new inequalities associated with pathway fractional integral operators by using synchronous functions which are involved in the Chebychev functional. Relevant connections of the results presented here with those involving Riemann-Liouville fractional integrals are also pointed out.
참고문헌 (17)
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