Degree of approximation to functions on a Jordan curve
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- by J. L. Walsh PDF
- Trans. Amer. Math. Soc. 73 (1952), 447-458 Request permission
References
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J. L. Walsh, Interpolation and approximation by rational functions, Amer. Math. Soc. Colloquium Publications, vol. 20, New York, 1935.
- J. L. Walsh, Polynomial expansions of functions defined by Cauchy’s integral, J. Math. Pures Appl. (9) 31 (1952), 221–244. MR 51919
- J. L. Walsh, Note on approximation by bounded analytic functions, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 821–826. MR 45206, DOI 10.1073/pnas.37.12.821
- 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 33921, DOI 10.1090/S0002-9947-1950-0033921-5
- 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 16128, DOI 10.1090/S0002-9904-1946-08589-4
- Jack D. Cowan (ed.), Some mathematical questions in biology. III, Lectures on Mathematics in the Life Sciences, Vol. 4, American Mathematical Society, Providence, R.I., 1972. MR 0323374
- I. Edward Block, The Plemelj theory for the class $\Lambda ^*$ of functions, Duke Math. J. 19 (1952), 367–378. MR 49308
Additional Information
- © Copyright 1952 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 73 (1952), 447-458
- MSC: Primary 30.0X
- DOI: https://doi.org/10.1090/S0002-9947-1952-0052505-8
- MathSciNet review: 0052505