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Best simultaneous approximation in normed linear spaces

In this thesis we consider the problem of simultaneously approximating elements of a set B C X by a single element of a set K C X. This type of a problem arises when the element to be approximated is not known precisely but is known to belong to a set.Thus, best simultaneous approximation is a natural generalization of best approximation which has been studied extensively. The theory of best simultaneous approximation has been studied by many authors, see for example [4], [8], [25], [28], [26] and [12] to name but a few.

Identiferoai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:rhodes/vital:27400
Date January 2018
CreatorsJohnson, Solomon Nathan
PublisherRhodes University, Faculty of Science, Mathematics (Pure and Applied)
Source SetsSouth African National ETD Portal
LanguageEnglish
Detected LanguageEnglish
Typetext, Thesis, Masters, MSc
Format53 leaves, pdf
RightsJohnson, Solomon Nathan

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