PUBLICATIONS DE L'INSTITUT MATH\'EMATIQUE (BEOGRAD) (N.S.) EMIS ELibM Electronic Journals Publications de l'Institut Mathématique (Beograd)
Vol. 73(87), pp. 139-147 (2003)

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RELATIONSHIP BETWEEN MATUSZEWSKA--ORLICZ, SEMENOV AND SIMONENKO INDICES OF $\varphi$-FUNCTIONS

Yan Yaqiang

Department of Mathematics, Suzhou University, Suzhou, 215006, P.R. China

Abstract: 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}}}\le\nu^i_{\Phi}\le \mu^i_{\Phi}\le 2^{-{1}/{\beta^i_{\Phi}}},
\frac{1}{2(1-\nu^i_\Phi)}\le p^i_\Phi \le q^i_\Phi\le\frac{\mu^i_\Phi}{1-\mu^i_\Phi}. \endgather

Keywords: Orlicz spaces, $N$-functions

Classification (MSC2000): 46E30

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Electronic version published on: 1 Jan 1970. This page was last modified: 14 Apr 2004.

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