Least $p$th power polynomials on a finite point set
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- by T. S. Motzkin and J. L. Walsh
- Trans. Amer. Math. Soc. 83 (1956), 371-396
- DOI: https://doi.org/10.1090/S0002-9947-1956-0081991-6
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References
- Georges Calugareanu, Sur les polynomes de Tchebichef d’un ensemble plan borné et fermé, Bull. Sci. Math. (2) 69 (1945), 75–81 (French). MR 15571 D. R. Curtiss, On the relative positions of the complex roots of an algebraic equation with real coefficients and those of its derived equation, Bull. Amer. Math. Soc. vol. 26 (1919) pp. 53, 61-62.
- Michael Fekete, On the structure of extremal polynomials, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 95–103. MR 41977, DOI 10.1073/pnas.37.2.95
- Morris Marden, The Geometry of the Zeros of a Polynomial in a Complex Variable, Mathematical Surveys, No. 3, American Mathematical Society, New York, N. Y., 1949. MR 0031114
- T. S. Motzkin and J. L. Walsh, On the derivative of a polynomial and Chebyshev approximation, Proc. Amer. Math. Soc. 4 (1953), 76–87. MR 60640, DOI 10.1090/S0002-9939-1953-0060640-X
- T. S. Motzkin and J. L. Walsh, Least $p$th power polynomials on a real finite point set, Trans. Amer. Math. Soc. 78 (1955), 67–81. MR 66492, DOI 10.1090/S0002-9947-1955-0066492-2 J. v. S. Nagy, Zur Theorie der algebraischen Gleichungen, Jber. Deutschen Math. Verein. vol. 31 (1922) pp. 238-251.
Bibliographic Information
- © Copyright 1956 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 83 (1956), 371-396
- MSC: Primary 42.1X
- DOI: https://doi.org/10.1090/S0002-9947-1956-0081991-6
- MathSciNet review: 0081991