Mean approximation on an interval for an exponent less than one
Authors:
T. S. Motzkin and J. L. Walsh
Journal:
Trans. Amer. Math. Soc. 122 (1966), 443-460
MSC:
Primary 41.41
DOI:
https://doi.org/10.1090/S0002-9947-1966-0201891-4
MathSciNet review:
0201891
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References | Similar Articles | Additional Information
- Paul G. Hoel, Certain Problems in the Theory of Closest Approximation, Amer. J. Math. 57 (1935), no. 4, 891β901. MR 1507122, DOI https://doi.org/10.2307/2371025
- T. S. Motzkin and J. L. Walsh, Least $p$th power polynomials on a real finite point set, Trans. Amer. Math. Soc. 78 (1955), 67β81. MR 66492, DOI https://doi.org/10.1090/S0002-9947-1955-0066492-2
- T. S. Motzkin and J. L. Walsh, Polynomials of best approximation on a real finite point set. I, Trans. Amer. Math. Soc. 91 (1959), 231β245. MR 108673, DOI https://doi.org/10.1090/S0002-9947-1959-0108673-9 ---, A persistent local maximum of the $p$th power deviation on an interval, $p < 1$, (to appear).
- J. L. Walsh and T. S. Motzkin, Polynomials of best approximation on an interval, Proc. Nat. Acad. Sci. U.S.A. 45 (1959), 1523β1528. MR 119004, DOI https://doi.org/10.1073/pnas.45.10.1523
- J. L. Walsh and T. S. Motzkin, Best approximators within a linear family on an interval, Proc. Nat. Acad. Sci. U.S.A. 46 (1960), 1225β1233. MR 162077, DOI https://doi.org/10.1073/pnas.46.9.1225
- J. L. Walsh and T. S. Motzkin, Polynomials of best approximation on an interval. II, Proc. Nat. Acad. Sci. U.S.A. 48 (1962), 1533β1537. MR 145255, DOI https://doi.org/10.1073/pnas.48.9.1533
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Article copyright:
© Copyright 1966
American Mathematical Society
