A Characterization of Best φ-Approximants with Applications to Multidimensional Isotonic Approximation
✍ Scribed by F.D. Mazzone; H.H. Cuenya
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 234 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0176-4276
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The object of this paper is to prove the following theorem: Let \(Y\) be a closed subspace of the Banach space \(X,(S, \Sigma, \mu)\) a \(\sigma\)-finite measure space, \(L(S, Y)\) (respectively, \(L(S, X)\) ) the space of all strongly measurable functions from \(S\) to \(Y\) (respectively, \(X\) ),
we show how local approximations, each accurate on a subinterval, can be blended together to form a global approximation which is accurate over the entire interval. The blending functions are smoothed approximations to a step function, constructed using the error function. The local approximations m