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
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.