Solving the general truncated moment problem by the r-generalized Fibonacci sequences method

Authors
Chidume, CE Rachidi, M Zerouali, EH
Citation
Ce. Chidume et al., Solving the general truncated moment problem by the r-generalized Fibonacci sequences method, J MATH ANAL, 256(2), 2001, pp. 625-635
Citations number
19
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
256
Issue
2
Year of publication
2001
Pages
625 - 635
Database
ISI
SICI code
0022-247X(20010415)256:2<625:STGTMP>2.0.ZU;2-7
Abstract
We give in this paper a new method for solving the generalized truncated po wer moment problem. To this aim we use r-generalized Fibonacci sequences an d their associated minimal polynomials. We provide an algorithm of construc tion of solutions in a short method. This method allows us to avoid any app eal to Hankel matrices or any positive definiteness conditions as in the Fl essas-Burton-Whitehead (FBW) approach. Examples and general cases are discu ssed, (C) 2001 Academic Press.