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Certain Chebyshev type inequalities involving the generalized fractional integral operator

机译:某些Chebyshev类型涉及广义分数整数算子的不等式

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摘要

In this paper, we establish certain new Chebyshev type fractional integral inequalities involving the Gauss hypergeometric function. Several special cases as Chebyshev type fractional integral inequalities involving Saigo, Erdelyi-Kober, and Riemann-Liouville type fractional integral operators are presented. Furthermore, we also consider their relevance with other related known results. An example is also given to show the applications of obtained results.
机译:在本文中,我们建立了涉及高斯超高度函数的某些新的Chebyshev型分数积分不等式。 呈现了几种特殊情况,作为Chebyshev类型涉及Saigo,Erdelyi-Kober和Riemann-Liouville型分数整体运算符的分数不平等。 此外,我们还考虑其与其他相关的已知结果的相关性。 还给出了一个例子来显示获得结果的应用。

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