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pro vyhledávání: '"Marcel G. de Bruin"'
Autor:
Marcel G. de Bruin, Detlef H. Mache
Publikováno v:
Journal of Numerical Analysis and Approximation Theory, Vol 41, Iss 1 (2012)
Hermite-Birkhoff interpolation and Pál-type interpolation have been receiving much attention over the years. Also during the previous 15 years the subject of interpolation in non-uniformly distributed nodes has been looked into. There are, however,
Externí odkaz:
https://doaj.org/article/8b379371c4364bf689f7b9544801b3d0
Autor:
Marcel G. de Bruin
Publikováno v:
Numerical Algorithms. 44:367-380
In this paper the classical convergence theorems by Śleszynski-Pringsheim, Worpitzky and Van Vleck for ordinary continued fractions will be generalized to continued fractions generalizations (along the lines of the Jacobi–Perron algorithm) with fo
Autor:
Marcel G. de Bruin
Publikováno v:
Journal of Computational and Applied Mathematics. 178:147-153
In (simple) Pal-type interpolation the problem consists of finding a polynomial of degree n + m-1 that has prescribed values at, say, n pairwise distinct points and prescribed values for the rth derivative r ≤ 1 at (another) set of m distinct point
Autor:
Ambikeshwar Sharma, Marcel G. de Bruin
Publikováno v:
Computational Methods and Function Theory. 3:305-323
Hermite-Birkhoff interpolation and Pal-type interpolation have been receiving much attention over the years. Also during the previous 15 years the subject of interpolation in non-uniformly distributed nodes has been looked into. There are, however, n
Autor:
Marcel G. de Bruin
Publikováno v:
Journal of Computational and Applied Mathematics. 153(1-2):163-169
In this paper (0,m)-interpolation on the zeros of z(zn−αn) is proved to be regular if and only if m=1 or n+1. Furthermore, overconvergence is studied.
Autor:
Marcel G. de Bruin
Publikováno v:
Journal of Computational and Applied Mathematics. 145:407-415
In this paper the regularity of nine Pal-type interpolation problems is proved. In the literature interpolation on the zeros of the pair wn(α)(z) = (z + α)n + (1 + αz)n, vn(α)(z) = (z + α)n - (1 + αz)n with 0 < α < 1 has been studied. Here the
Autor:
Marcel G. de Bruin, Ambikeshwar Sharma
Publikováno v:
Journal of Computational and Applied Mathematics. 133(1-2):295-303
In this paper regularity of the (0,1,…,r−2,r) Birkhoff interpolation problem (r⩾2) on the zeros of (z3n+1)(z3−1) is proved.
Autor:
Marcel G. de Bruin
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 47:1931-1940
Autor:
Marcel G. de Bruin, Cees Kamminga
Publikováno v:
Journal of Physics A: Mathematical and General. 34:L231-L238
The well known uncertainty product of communication theory for a signal in the time domain and its Fourier transform in the frequency domain is studied for a `composite signal', i.e. a `pure' signal to which a time-delayed replica is added. This unce
Publikováno v:
Transfusion, 40, 1235-1238. Wiley-Blackwell Publishing Ltd
BACKGROUND: RBC survival may be affected by mechanical or oxidative stress as well as the inflammatory effect of surgery, and thus may contribute to postoperative anemia. STUDY DESIGN AND METHODS: RBC survival was studied in otherwise healthy patient