Cuenya, H. H.; Levis, F. E.; Rodriguez, C. N. Optimal bundles in normed spaces. (English) Zbl 1263.41021 Ann. Funct. Anal. 4, No. 2, 87-96 (2013). Summary: We prove the existence of optimal bundles for a countable set of data in a broad class of normed spaces, which extend previous known results for a finite data set in a Hilbert space. In addition, we study the behavior of deviations and diameters for an increasing sequence of data sets. MSC: 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) 41A28 Simultaneous approximation Keywords:optimal bundles; deviation; diameter; normed space × Cite Format Result Cite Review PDF Full Text: DOI EMIS