On Rivlin's conjecture for unisolvent families

Authors

  • G. Cimoca Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy
  • G.D. Taylor Michigan State University, East Lansing, Michigan

Abstract

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References

Cimoca, Gh., On a problem of simultaneous best approximation. Rev. Anal. Numér. Théorie Approximation 3 (1974), no. 1, 23-26, MR0377380.

Deutsch, Frank, Morris, Peter D., Singer, Ivan, On a problem of T. J. Rivlin in approximation theory. J. Approximation Theory 2 1969 342-354, MR0254483, https://doi.org/10.1016/0021-9045(69)90003-3

Motzkin, Th., Approximation by curves of a unisolvent family. Bull. Amer. Math. Soc. 55, (1949). 789-793, MR0031111, https://doi.org/10.1090/s0002-9904-1949-09286-8

Rivlin, T. J., A duality theorem and upper bounds for approximation. 1969 Abstract Spaces and Approximation (Proc. Conf., Oberwolfach, 1968) pp. 274-280 Birkhäuser, Basel, MR0259450, https://doi.org/10.1007/978-3-0348-5869-4_25

Sprecher, David A., Simultaneous best approximations with two polynomials. J. Approximation Theory 2 1969 384-388, MR0252925, https://doi.org/10.1016/0021-9045(69)90006-9

Sprecher, David A., On simultaneous Chebyshev approximations. J. Approximation Theory 4 1971 137-146, MR0277972, https://doi.org/10.1016/0021-9045(71)90024-4

Subrahmanya, M. R,. A note on a problem of Rivlin. Collection of articles dedicated to J. L. Walsh on his 75th birthday, VIII. J. Approximation Theory 6 (1972), 359-361, MR0344764, https://doi.org/10.1016/0021-9045(72)90042-1

Tornheim, Leonard, On n-parameter families of functions and associated convex functions. Trans. Amer. Math. Soc. 69, (1950). 457-467, MR0038383, https://doi.org/10.1090/s0002-9947-1950-0038383-x

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Published

1974-02-01

How to Cite

Cimoca, G., & Taylor, G. (1974). On Rivlin’s conjecture for unisolvent families. Rev. Anal. Numér. Théorie Approximation, 3(1), 27–32. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1974-vol3-no1-art4

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