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This provides a generalization (from the full moment problem to the truncated moment problem) of the Riesz–Haviland theorem.
The moment problem is to determine whether or not a given distribution F is M-det.
This paper is about the moment problem on a finite-dimensional vector space of continuous functions.
In [9], the authors transfer high dimensional Cauchy problem for Laplace equation into moment problem, and then construct a series of polynomial functions to approximate solutions of the moment problem.
Roughly speaking, there are two kinds of moment problems: Stieltjes (1894) moment problem deals with nonnegative random variables only, while Hamburger (1920 , 1921 moment problem treats all random variables taking values in the whole real line.
Stoyanov et al. (2014) and Lin and Stoyanov (2015) investigated the moment problem for products of i.i.d.i.d
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Some of the underlying moment problems of basic difference equations are investigated in greater detail.
We want to investigate some specific moment problems related to it.
However, these conditions are not sufficient for non-extremal sextic or higher-order truncated moment problems.
Positive semidefiniteness, recursiveness, and the variety condition of a moment matrix are necessary and sufficient conditions to solve the quadratic and quartic moment problems.
Recent research concerning q-difference equations, moment problems (see [8, 16 20]) strongly suggests that in order to deal with basic hypergeometric functions, one should use the following concept.
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