Relationship Between Matuszewska-orlicz, Semenov and Simonenko Indices of F-functions


Yan Yaqiang


We obtain a relationship between Matuszewska-Orlicz indices, Semenov indices and Simonenko indices. The main results are: $$ \gather 2\nu^i_{\Phi}\mu^i_{\Psi}=1=2\nu^i_{\Psi}\mu^i_{\Phi}, \quad 2^{-{1}/{\alpha^i_{\Phi}}}łe\nu^i_{\Phi}łe \mu^i_{\Phi}łe 2^{-{1}/{\beta^i_{\Phi}}}, \\ \frac{1}{2(1-\nu^i_\Phi)}łe p^i_\Phi łe q^i_\Phiłe\frac{\mu^i_\Phi}{1-\mu^i_\Phi}. \endgather