\begin{equation}\label{eq3.7*}
	R^\alpha_\beta(X)\left\{
		\begin{array}{ll}
			 \leq \frac{1}{1-\alpha}G_{\alpha\beta-\alpha-\beta+2}(X),~	
			if~~1<\beta<2;
			\\
			\leq\frac{1}{2}R^{\frac{\alpha+1}{2}}_{2\beta-1}(X),~if~ \beta\geq1;
			\\
			\geq\frac{1}{2}R^{\frac{\alpha+1}{2}}_{2\beta-1}(X),~if~ 0<\beta<1,
		\end{array}
		\right.
	\end{equation}
