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Bibliography

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P. G. Hoel, Certain problems in the theory of closest approximation, Amer. J. Math. 57 (1935), 891-901. MR 1507122

[2]

T. S. Motzkin and J. L. Walsh, Least th power polynomials on a real finite point set, Trans. Amer. Math. Soc. 78 (1955), 67-81. MR 0066492 (16:585g)

[3]

-, Polynomials of best approximation on a real finite point set, Trans. Amer. Math. Soc. 91 (1959), 231-245. MR 0108673 (21:7388)

[4]

-, A persistent local maximum of the th power deviation on an interval, , (to appear).

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J. L. Walsh and T. S. Motzkin, Polynomials of best approximation on an interval, Proc. Nat. Acad. Sci. U.S.A. 45 (1959), 1523-1528. MR 0119004 (22:9773)

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-, Best approximators within a linear family on an interval, Proc. Nat. Acad. Sci. U.S.A. 46 (1960), 1225-1233. MR 0162077 (28:5279)

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-, Polynomials of best approximation on an interval. II, Proc. Nat. Acad. Sci. U.S.A. 48 (1962), 1533-1537. MR 0145255 (26:2788)