Solutions of the Strong Hamburger Moment Problem
نویسندگان
چکیده
منابع مشابه
Maximum Entropy in the Finite Stielties and Hamburger Moment Problem
A necessary and suucient condition for the existence of the maximum entropy (ME) function deened in an innnite or semiinnnite interval, is provided. The conclusions reached show that, except in a few particular cases, the necessary and suucient conditions for the existence of maximum entropy function are identical to the conditions for the solution of the moment problem when the rst M+1 moments...
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We consider a sequence of orthogonal polynomials given by the classical three term recurrence relation. We address the problem of deciding the determinacy or indeterminacy of the associated Hamburger moment problem on the basis of the behavior of the coefficients in the three term recurrence relation. Comparisons are made with other criteria in the literature. The efficacy of the criteria obtai...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1996
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0017