A characterization of badly approximable functions
HTML articles powered by AMS MathViewer
- by S. J. Poreda
- Trans. Amer. Math. Soc. 169 (1972), 249-256
- DOI: https://doi.org/10.1090/S0002-9947-1972-0306510-7
- PDF | Request permission
Abstract:
Complex valued functions, continuous on a closed Jordan curve in the plane and having the property that all of their polynomials of best uniform approximation on that curve are identically zero are characterized in terms of their mapping properties on that curve.References
- A. I. Markushevich, Theory of functions of a complex variable. Vol. III, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1967. Revised English edition, translated and edited by Richard A. Silverman. MR 0215964
- J. L. Walsh, Interpolation and approximation by rational functions in the complex domain, 3rd ed., American Mathematical Society Colloquium Publications, Vol. XX, American Mathematical Society, Providence, R.I., 1960. MR 0218587
Bibliographic Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 169 (1972), 249-256
- MSC: Primary 30A82
- DOI: https://doi.org/10.1090/S0002-9947-1972-0306510-7
- MathSciNet review: 0306510