Abstract
The local constant of strong uniqueness for nonlinear approximation with respect to a norm is the local constant of strong uniqueness for approximation in the associated problem of linear approximation by the tangent space.
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References
Angelos, J. and Egger, A., Strong Uniqueness in Lp Spaces, J. Approximation Theory 42(1984), 14–26.
Barrar, R. and Loeb, H., On the Continuity of the Nonlinear Tschebyscheff Operator, Pacific J. Math. 32(1970), 593–601.
Dunham, C., Chebyshev Approximation with the Local Haar Condition, SIAM J. Numer. Anal. 8(1971), 749–753.
Dunham, C., Discrete Nonlinear Mean Approximation, Z. Angw. Math. Mech. 57 (1977), 407–412.
Dunham, C., Chebyshev Approximation with the Local Haar Condition, II, Congressus Numerantium 51 (1986), (Proceedings of 1985 Manitoba Conf. on Numerical Mathematics and Computing), 123–136.
Henry, M., Schmidt, D. and Swetits, J., Uniform Strong Unicity for Rational Approximation, J. Approximation Theory 33 (1981), 131–146.
Meinardus, G., Approximation of Functions: Theory and Numerical Methods, Springer Verlag, New York, 1967.
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Dunham, C.B. Local strong uniqueness for nonlinear approximation. Approx. Theory & its Appl. 5, 43–45 (1989). https://doi.org/10.1007/BF02836068
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DOI: https://doi.org/10.1007/BF02836068