A theory of best approximation with interpolatory contraints from a finitedimensional subspace M of a normed linear space X is developed. In particular, to each x # X, best approximations are sought from a subset M(x) of M which depends on the element x being approximated. It is shown that this ``pa
โฆ LIBER โฆ
On best simultaneous approximation in normed linear spaces
โ Scribed by Pierre D Milman
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 776 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0021-9045
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## Abstract In this paper the concepts of strictly convex and uniformly convex normed linear spaces are extended to metric linear spaces. A relationship between strict convexity and uniform convexity is established. Some existence and uniqueness theorems on best approximation in metric linear space
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