Degree of approximation to functions on a Jordan curve
Author:
J. L. Walsh
Journal:
Trans. Amer. Math. Soc. 73 (1952), 447458
MSC:
Primary 30.0X
MathSciNet review:
0052505
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References 
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Additional Information
 [1]
J. L. Walsh, Interpolation and approximation by rational functions, Amer. Math. Soc. Colloquium Publications, vol. 20, New York, 1935.
 [2]
J.
L. Walsh, Polynomial expansions of functions defined by
Cauchy’s integral, J. Math. Pures Appl. (9) 31
(1952), 221–244. MR 0051919
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J.
L. Walsh, Note on approximation by bounded analytic functions,
Proc. Nat. Acad. Sci. U. S. A. 37 (1951), 821–826.
MR
0045206 (13,545a)
 [4]
J.
L. Walsh and H.
Margaret Elliott, Polynomial approximation to harmonic
and analytic functions: generalized continuity conditions, Trans. Amer. Math. Soc. 68 (1950), 183–203. MR 0033921
(11,515c), http://dx.doi.org/10.1090/S00029947195000339215
 [5]
J.
L. Walsh, On degree of approximation on a Jordan
curve to a function analytic interior to the curve by functions not
necessarily analytic interior to the curve, Bull. Amer. Math. Soc. 52 (1946), 449–453. MR 0016128
(7,514d), http://dx.doi.org/10.1090/S000299041946085894
 [6]
Jack
D. Cowan (ed.), Some mathematical questions in biology. III,
American Mathematical Society, Providence, R.I., 1972. Lectures on
Mathematics in the Life Sciences, Vol. 4. MR 0323374
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 [7]
I.
Edward Block, The Plemelj theory for the class Λ* of
functions, Duke Math. J. 19 (1952), 367–378. MR 0049308
(14,153c)
 [1]
 J. L. Walsh, Interpolation and approximation by rational functions, Amer. Math. Soc. Colloquium Publications, vol. 20, New York, 1935.
 [2]
 , J. Math. Pures Appl. vol. 31 (1952) pp. 221244. MR 0051919 (14:547c)
 [3]
 , Proc. Nat. Acad. Sci. U.S.A. vol. 37 (1951) pp. 821826. MR 0045206 (13:545a)
 [4]
 J. L. Walsh and H. Margaret Elliott, Trans. Amer. Math. Soc. vol. 68 (1950) pp. 183203. MR 0033921 (11:515c)
 [5]
 J. L. Walsh, Bull. Amer. Math. Soc. vol. 52 (1946) pp. 449453. MR 0016128 (7:514d)
 [6]
 H. M. Elliott, Proceedings of the American Mathematical Society, to appear. MR 0323374 (48:1731)
 [7]
 I. E. Block, Duke Math. J. vol. 19 (1952) pp. 367378. MR 0049308 (14:153c)
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DOI:
http://dx.doi.org/10.1090/S00029947195200525058
PII:
S 00029947(1952)00525058
Article copyright:
© Copyright 1952
American Mathematical Society
