Abstract



We introduce in this paper a method to calculate the Hessenberg matrix of a sum of measures from the Hessenberg matrices of the component measures. Our method extends the spectral techniques used by G. Mantica to calculate the Jacobi matrix associated with a sum of measures from the Jacobi matrices of each of the measures. We apply this method to approximate the Hessenberg matrix associated with a selfsimilar measure and compare it with the result obtained by a former method for selfsimilar measures which uses a fixed point theorem for moment matrices. Results are given for a series of classical examples of selfsimilar measures. Finally, we also apply the method introduced in this paper to some examples of sums of (not selfsimilar) measures obtaining the exact value of the sections of the Hessenberg matrix.  
International

Si 
JCR

Si 
Title

JOURNAL OF APPROXIMATION THEORY 
ISBN

00219045 
Impact factor JCR

0,904 
Impact info


Volume




Journal number


From page

49 
To page

64 
Month

ENERO 
Ranking
