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Paul Erdös (1913-1996) was one of the most prolific mathematicians
of all time. He authored or coauthored around 1500 articles
and books. The Erdös number measures the distance of a
given mathematician from Erdös on a graph whose edges
denote the relationship of coauthorship (see the Erdös Number
Project Home Page for details). Thus, to establish a bound of 4
for mine, it suffices to supply the following citations. Although I
believe that this bound is sharp, a lower bound is more difficult to
demonstrate, particularly since the Erdös number is time-dependent
(though monotonically non-increasing).
Erdös, P., Szabados, J., Varma, A. K., and Vértesi,
P., On an interpolation
theoretical extremal problem. Studia Sci. Math. Hungar.
29 (1994), no. 1-2,
55--60.
DeVore, R. and Szabados, J., Saturation theorems for discretized linear
operators. Anal. Math. 1 (1975), no. 2, 81--89.
DeVore, Ronald A. and Scott, L. Ridgway, Error bounds for Gaussian
quadrature and weighted-L1 polynomial approximation. SIAM J. Numer.
Anal. 21 (1984), no. 2, 400--412.
Arnold, Douglas N., Scott, L. Ridgway, and Vogelius, Michael S., Regular
inversion of the divergence operator with Dirichlet boundary conditions on a
polygon. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 15 (1988), no. 2, 169--192.
Here is another path (there are many):
Erdös, P. and Kormornik, V., Developments in non-integer bases.
Acta Math. Hungar. 79 (1998), no. 1-2, 57-83.
Baiocchi, C., Kormornik, V., and Loreti, P., Théories du type
Ingham et application à la théorie du contrôle.
C. R. Acad. Sci. Paris Sci. I Math. 326
(1998) no. 4, 453-458.
Baiocchi, C. and Brezzi, F., Optimal error estimates for linear parabolic
problems under minimal regularity assumptions.
Calcolo 20 (1983), no. 2, 143-176.
Arnold, D. and Brezzi, F., Mixed and nonconforming finite element methods:
implementation, postprocessing and error estimates.
RAIRO Mod. Math. Anal. Num.
19
(1985), no. 1, 7-32.
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