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Solving the General Truncated Moment Problem by the r-Generalized Fibonacci Sequences Method

✍ Scribed by C.E. Chidume; M. Rachidi; E.H. Zerouali

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
100 KB
Volume
256
Category
Article
ISSN
0022-247X

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✦ Synopsis

We give in this paper a new method for solving the generalized truncated power moment problem. To this aim we use r-generalized Fibonacci sequences and their associated minimal polynomials. We provide an algorithm of construction of solutions in a short method. This method allows us to avoid any appeal to Hankel matrices or any positive definiteness conditions as in the Flessas-Burton-Whitehead (FBW) approach. Examples and general cases are discussed.

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