On Rivlin's conjecture for unisolvent families

Authors

  • G. Cimoca Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Romania
  • G.D. Taylor Michigan State University, East Lansing, Michigan, USA
Abstract views: 231

Abstract

Not available.

Downloads

Download data is not yet available.

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

Downloads

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

Issue

Vol. 3 No. 1 (1974)

Section

Articles

License

Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.