The generalized moment of order k of a mass distribution sigma for a natural number k is given by integral of lambda to the power k with respect to mass distribution sigma and variable lambda. In extended moment problem, given
a sequence of real numbers, it is required to find a mass distribution whose generalized moment of order k is k' / th term of the sequence. The conditions of existence
and uniqueness of the solution obtained by Hamburger are studied in this
thesis by the use of orthogonal polynomials determined by a measure on real line.
A chapter on the study of asymptotic behaviour of orthogonal functions on
compact subsets of complex numbers is also included.
| Identifer | oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/1109164/index.pdf |
| Date | 01 January 2004 |
| Creators | Topkara, Mustafa |
| Contributors | Aytuna, Aydin |
| Publisher | METU |
| Source Sets | Middle East Technical Univ. |
| Language | English |
| Detected Language | English |
| Type | M.S. Thesis |
| Format | text/pdf |
| Rights | To liberate the content for public access |
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