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Abstract
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| 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 self-similar measure and compare it with the result obtained by a former method for self-similar measures which uses a fixed point theorem for moment matrices. Results are given for a series of classical examples of self-similar measures. Finally, we also apply the method introduced in this paper to some examples of sums of (not self-similar) measures obtaining the exact value of the sections of the Hessenberg matrix. | |
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International
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Si |
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JCR
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Title
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JOURNAL OF APPROXIMATION THEORY |
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ISBN
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0021-9045 |
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Impact factor JCR
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0,904 |
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Impact info
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Volume
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Journal number
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From page
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49 |
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To page
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64 |
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Month
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ENERO |
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Ranking
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