کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4632155 1340637 2010 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hausdorff moment problem and fractional moments
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Hausdorff moment problem and fractional moments
چکیده انگلیسی

Hausdorff moment problem is considered and a solution, consisting of the use of fractional moments, is proposed. More precisely, in this work a stable algorithm to obtain centered moments from integer moments is found. The algorithm transforms a direct method into an iterative Jacobi method which converges in a finite number of steps, as the iteration Jacobi matrix has null spectral radius. The centered moments are needed to calculate fractional moments from integer moments. As an application few fractional moments are used to solve finite Hausdorff moment problem via maximum entropy technique. Fractional moments represent a remedy to ill-conditioning coming from an high number of integer moments involved in recovering procedure.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 216, Issue 11, 1 August 2010, Pages 3319–3328
نویسندگان
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