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Extended Best Polynomial Approximation Operator in Orlicz Spaces |
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| Authors: | Sonia Acinas Felipe Zó |
| Affiliation: | 1. Departamento de Matemática, Facultad de Ciencias Exactas Naturales , Universidad Nacional de La Pampa , Santa Rosa , La Pampa , Argentina;2. Instituto de Matemática Aplicada San Luis, Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET) and Departamento de Matemática , Universidad Nacional de San Luis , San Luis , Argentina |
| Abstract: | In this article we consider the best polynomial approximation operator, defined in an Orlicz space L Φ(B), and its extension to L ?(B) where ? is the derivative function of Φ. A characterization of these operators and several properties are obtained. |
| Keywords: | Best polynomial Φ-approximation operators Extended best polynomial approximation from L Φ to L ? Orlicz spaces |