منابع مشابه
Truncated Moment Problem versus Moment Problem 3
It is shown that the truncated multidimensional moment problem is more general than the full multidimensional moment problem.
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Given polynomials h1, . . . , hr ∈ R[x1, . . . , xn], we study the complexity of the problem of representing polynomials in the form f = s0 + s1h1 + · · ·+ srhr (∗) with sums of squares si. Let M be the cone of all f which admit such a representation. The problem is said to be stable if there exists a function φ : N → N such that every f ∈ M has a representation (∗) with deg(si) ≤ φ(deg(f)). Th...
متن کاملThe moment problem
There are three essentially different types of (closed) intervals. Either two end-points are finite, one endpoint is finite, or no end-points are finite. In the last case the interval is simply R and in the first two cases one can think of [0, 1] and [0,∞). For historical reasons the moment problem on [0,∞) is called the Stieltjes moment problem and the moment problem on R is called the Hamburg...
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ژورنال
عنوان ژورنال: Interdisciplinary Information Sciences
سال: 2007
ISSN: 1347-6157,1340-9050
DOI: 10.4036/iis.2007.17