Best Simultaneous Approximation in Orlicz Spaces

M. Khandaqji and Sh. Al-Sharif

International Journal of Mathematics and Mathematical Sciences, 2007, vol. 2007, 1-7

Abstract:

Let X be a Banach space and let L Φ ( I , X ) denote the space of Orlicz X -valued integrable functions on the unit interval I equipped with the Luxemburg norm. In this paper, we present a distance formula dist ( f 1 , f 2 , L Φ ( I , G ) ) Φ , where G is a closed subspace of X , and f 1 , f 2 ∈ L Φ ( I , X ) . Moreover, some related results concerning best simultaneous approximation in L Φ ( I , X ) are presented.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:068017

DOI: 10.1155/2007/68017

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