Geodesic
Relationship Between Matuszewska-orlicz, Semenov and Simonenko Indices of F-functions
Publications de l'Institut Mathématique, _N_S_73 (2003) no. 87, p. 139 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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
DOI : 10.2298/PIM0373139Y
Classification : 46E30
Keywords: Orlicz spaces, N-functions 
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     author = {Yan Yaqiang},
     title = {Relationship {Between} {Matuszewska-orlicz,} {Semenov} and {Simonenko} {Indices} of {F-functions}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {139 },
     publisher = {mathdoc},
     volume = {_N_S_73},
     number = {87},
     year = {2003},
     doi = {10.2298/PIM0373139Y},
     zbl = {1112.46030},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0373139Y/}
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Yan Yaqiang. Relationship Between Matuszewska-orlicz, Semenov and Simonenko Indices of F-functions. Publications de l'Institut Mathématique, _N_S_73 (2003) no. 87, p. 139 . doi : 10.2298/PIM0373139Y. http://geodesic.mathdoc.fr/articles/10.2298/PIM0373139Y/

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