We consider a generalization of Hausdor moment problem in which the inputs are generalized moments deΓΏned by n β‘ 1 0 x n [f(x)] d x (n = 1; 2; : : :) where is a real number and f(x) is the probability density function to be determined. The necessary and su cient conditions for the existence of the s
β¦ LIBER β¦
Hausdorff moment problem: Reconstruction of distributions
β Scribed by Robert M. Mnatsakanov
- Book ID
- 108267497
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 347 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0167-7152
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## 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__~ = β«
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