Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals
Search results

Search: MSC category 44A60 ( Moment problems )

 Expand all        Collapse all Results 1 - 3 of 3

1. CJM 2006 (vol 58 pp. 249)

Bello Hernández, M.; Mínguez Ceniceros, J.
 Convergence of Fourier--PadÃ© Approximants for Stieltjes Functions We prove convergence of diagonal multipoint Pad\'e approximants of Stieltjes-type functions when a certain moment problem is determinate. This is used for the study of the convergence of Fourier--Pad\'e and nonlinear Fourier--Pad\'e approximants for such type of functions. Keywords:rational approximation, multipoint PadÃ© approximants, Fourier--PadÃ© approximants, moment problemCategories:41A20, 41A21, 44A60

2. CJM 2005 (vol 57 pp. 941)

Berg, Christian; Durán, Antonio J.
 Some Transformations of Hausdorff Moment Sequences and Harmonic Numbers We introduce some non-linear transformations from the set of Hausdorff moment sequences into itself; among them is the one defined by the formula: $T((a_n)_n)=1/(a_0+\dots +a_n)$. We give some examples of Hausdorff moment sequences arising from the transformations and provide the corresponding measures: one of these sequences is the reciprocal of the harmonic numbers $(1+1/2+\dots +1/(n+1))^{-1}$. Categories:44A60, 40B05

3. CJM 1997 (vol 49 pp. 708)

Duran, Antonio J.; Lopez-Rodriguez, Pedro
 Density questions for the truncated matrix moment problem For a truncated matrix moment problem, we describe in detail the set of positive definite matrices of measures $\mu$ in $V_{2n}$ (this is the set of solutions of the problem of degree $2n$) for which the polynomials up to degree $n$ are dense in the corresponding space ${\cal L}^2(\mu)$. These matrices of measures are exactly the extremal measures of the set $V_n$. Categories:42C05, 44A60

© Canadian Mathematical Society, 2015 : https://cms.math.ca/