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An extended urn model with application to approximation
Author(s):
Fengxin
Chen
Journal:
Trans. Amer. Math. Soc.
356
(2004),
3505-3515.
MSC (2000):
Primary 35L75, 35B40
Posted:
November 18, 2003
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Abstract:
Pólya's urn model from probability theory is extended to obtain a class of approximation operators for which the Weierstrass Approximation Theorem holds.
References:
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A Simple Model Comm. Pure. Appl. Math., 2 (1949) pp. 59- 70. MR 10:720b - 2.
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Pólya's urn model and computer aided geometric design, SIAM J. Algebraic Discrete Methods, 6 (1985), pp. 1 - 28. MR 86h:68163 - 3.
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Markov chains and computer aided geometric design. II. Examples and subdivision matrices, ACM Trans. Graph., 4 (1985), pp. 12 - 40. - 4.
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Urn Models, Approximations, and Spline, J. Approx. Theory, 54 (1988), pp. 1 - 66. MR 89g:41005 - 5.
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Use of Probabilistic Methods in the Theory of Uniform Approximation of Continuous Functions, Rew. Roumaine Math. Pures. Appl., 14 (1969) pp. 673-691. MR 40:606
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Additional Information:
Fengxin
Chen
Affiliation:
Department of Applied Mathematics, University of Texas at San Antonio, 6900 North Loop 1604 West, San Antonio, Texas 78249
Email:
feng@math.utsa.edu
DOI:
10.1090/S0002-9947-03-03513-X
PII:
S 0002-9947(03)03513-X
Received by editor(s):
March 1, 2003
Received by editor(s) in revised form:
March 26, 2003
Posted:
November 18, 2003
Copyright of article:
Copyright
2003,
American Mathematical Society
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