Approximation in weighted Smirnov-Orlicz classes

• Autores: Danyal M. Israfilov, Ramazan Akgün
• Localización: Journal of mathematics of Kyoto University, ISSN 0023-608X, Vol. 46, Nº 4, 2006, págs. 755-770
• Idioma: inglés
• DOI: 10.1215/kjm/1250281602
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• Resumen

  • In this work some direct and inverse theorems of approximation theory in the weighted Smirnov-Orlicz classes, defined in the domains with a Dini-smooth boundary, are proved. In particular, a constructive characterization of the generalized Lipschitz classes $Lip^{*}\alpha (M,\omega )$, $\alpha >0$, is obtained.