some criteria for solvability and supersolvability

Denote by $ g $ a finite group, by  $ {rm hsn}(g) $ the harmonic mean sylow number (eliminating the sylow numbers that are one) in $g$ and by    $ {rm gsn}(g) $ the geometric mean sylow number (eliminating the sylow numbers that are one) in $g$. in this paper, we prove that if either $ {rm hsn}(g)<45/7 $ or  $ {rm gsn}(g)< sqrt[3]{300} $, then $g$ is solvable. also, we show that if either $ {rm hsn}(g)<24/7 $ or  $ {rm gsn}(g)