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On Simultaneous Approximation in Function Spaces

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Approximation Theory XIII: San Antonio 2010

Part of the book series: Springer Proceedings in Mathematics ((PROM,volume 13))

Abstract

The problem of simultaneous approximation in function spaces has attracted many researchers recently. Major results on the space of vector-valued continuous functions started to appear early nineties. In 2002, results on simultaneous approximation in p-Bochner integrable function spaces were published. The objective of this paper is to give a characterization for some subspaces of Bochner integrable functions space to be simultaneously proximinal.

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Correspondence to Eyad Abu-Sirhan .

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Abu-Sirhan, E. (2012). On Simultaneous Approximation in Function Spaces. In: Neamtu, M., Schumaker, L. (eds) Approximation Theory XIII: San Antonio 2010. Springer Proceedings in Mathematics, vol 13. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0772-0_20

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