Least $p$th power polynomials on a finite point set
Authors:
T. S. Motzkin and J. L. Walsh
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
Full-text PDF Free Access
References | Similar Articles | Additional Information
- 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 https://doi.org/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 https://doi.org/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 https://doi.org/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.
Retrieve articles in Transactions of the American Mathematical Society with MSC: 42.1X
Retrieve articles in all journals with MSC: 42.1X
Additional Information
Article copyright:
© Copyright 1956
American Mathematical Society
