On a problem of simultaneous best approximation

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  • G. Cimoca Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Romania
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References

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

Popoviciu, E., Teoreme de medie din analiza matematică şi legătura lor cu toria interpolării, Editura Dacia, Cluj, 1972.

Popoviciu, T., Notes sur les fonctions convexes d'ordre superieru (VI). Revue Math. de L'Union Interbalkanique, II, fasc. III-IV, 1-10, 1939.

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.

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. (1974). On a problem of simultaneous best approximation. Rev. Anal. Numér. Théorie Approximation, 3(1), 23–26. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1974-vol3-no1-art3

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Vol. 3 No. 1 (1974)

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