Generalizations of some integral inequalities for Riemann–Liouville operator

The Chebyshev inquality is one of important inequalities in mathematics. It's a necessary tool in probability theory. The item of Chebyshev's inequality may also refer to Markov's inequality in the context of analysis.
In[6, 7], using the usual Riemann–Liouville fractional integral operator $I^{\alpha }$, were established and proved some new integral inequalities for the Chebyshev fonctional
\begin{equation} \nonumber T(f,g):=\frac{1}{b-a}\int^{b}_{a}f(x)g(x)dx-\frac{1}{b-a}\int^{b}_{a}f(x)dx\frac{1}{b-a}\int^{b}_{a}g(x)dx. \end{equation}
In this work, we give some generalizations of Chebyshev-type integral inequalities by using Riemann—Liouville fractional integrals of function with respect to another function.