Approximation problem restricted by an incidence matrix

Ryozi SAKAI

doi:10.2969/jmsj/03230557

Ryozi SAKAI

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JOURNAL FREE ACCESS

1980 Volume 32 Issue 3 Pages 557-585

DOI https://doi.org/10.2969/jmsj/03230557

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Published: 1980 Received: October 30, 1978 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) D. Ferguson, The question of uniqueness for G. D. Birkhoff interpolation problem, J. Approximation Theory, 2 (1969), 1-28.
2) K. Atkinson and A. Sharma, A partial characterization of poised Hermite-Birkhoff interpolation problems, SIAM J. Numer. Anal., 6 (1969), 230-235.
3) M. P. Carroll and H. W. Mclaughlin, L₁ approximation of vector-valued functions, J. Approximation Theory, 7 (1973), 122-131.
4) Wayne T. Ford and John A. Roulier, On interpolation and approximation by polynomials with monotone derivatives, J. Approximation Theory, 10 (1974), 123-130.
5) Eli Passow, Louis Raymon and John A. Roulier, Comonotone polynomial approximation, J. Approximation Theory, 11 (1974), 221-224.
6) John A. Roulier, Best approximation to functions with restricted derivations, J. Approximation Theory, 17 (1976), 344-347.
7) V. N. Malozemov, Joint approximation of a function and its derivatives by algebraic polynomials, Dokl. Akad. Nauk SSSR, 170 (1966), 1274-1276.
8) G. G. Lorentz, Bernstein polynomials, Toronto, 1953.
9) G. G. Lorentz, Approximation of functions, Holt, Rinehart and Winston, 1966.

Right : [1] D. Ferguson, The question of uniqueness for G. D. Birkhoff interpolation problem, J. Approximation Theory, 2 (1969), 1-28.
[2] K. Atkinson and A. Sharma, A partial characterization of poised Hermite-Birkhoff interpolation problems, SIAM J. Numer. Anal., 6 (1969), 230-235.
[3] M. P. Carroll and H. W. Mclaughlin, L₁ approximation of vector-valued functions, J. Approximation Theory, 7 (1973), 122-131.
[4] Wayne T. Ford and John A. Roulier, On interpolation and approximation by polynomials with monotone derivatives, J. Approximation Theory, 10 (1974), 123-130.
[5] Eli Passow, Louis Raymon and John A. Roulier, Comonotone polynomial approximation, J. Approximation Theory, 11 (1974), 221-224.
[6] John A. Roulier, Best approximation to functions with restricted derivations, J. Approximation Theory, 17 (1976), 344-347.
[7] V. N. Malozemov, Joint approximation of a function and its derivatives by algebraic polynomials, Dokl. Akad. Nauk SSSR, 170 (1966), 1274-1276.
[8] G. G. Lorentz, Bernstein polynomials, Toronto, 1953.
[9] G. G. Lorentz, Approximation of functions, Holt, Rinehart and Winston, 1966.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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