The Müntz-Szasz problem
✍ Scribed by V. I. Ladygin
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1978
- Tongue
- English
- Weight
- 527 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The classic Mu ntz Szasz theorem says that for f # L 2 ([0, 1]) and [n k ] k=1 , a strictly increasing sequence of positive integers, We have generalized this theorem to compactly supported functions on R n and to an interesting class of nilpotent Lie groups. On R n we rephrased the condition above
## Abstract This paper deals with a Hausdorff moment problem with complex exponents, that is, given a sequence of complex numbers __(z~n~)n__ and a fixed space __X__ of functions denned on [0, 1], we ask under which conditions on a sequence (__a__~__n__~)~__n__~ the moment problem __a__~__n__~ = ∫
We examine how many of the Bernstein basis functions \(x^{k}(1-x)^{n-k}, k=\) \(0, \ldots, n\), can be omitted such that linear combinations of the remaining polynomials are still dense in the space of continuous functions. Co 1994 Academic Press. Inc.