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On best simultaneous approximation in Banach spaces. (English) Zbl 0489.41033


MSC:

41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
41A50 Best approximation, Chebyshev systems
41A28 Simultaneous approximation

Citations:

Zbl 0435.41016
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Full Text: DOI

References:

[1] Bosznay, A. P., A remark on simultaneous approximation, J. Appox. Theory, 23, 296-298 (1978) · Zbl 0412.41022
[2] Diaz, J. B.; McLaughlin, H. W., Simultaneous approximation of a set of bounded real functions, Math. Comp., 23, 583-593 (1969) · Zbl 0183.32801
[3] Diaz, J. B.; McLaughlin, H. W., On simultaneous Chebyshev approximation and Chebyshev approximation with an additive weight function, J. Approx. Theory, 6, 68-71 (1972) · Zbl 0246.41023
[4] Dunham, C. B., Simultaneous Chebyshev approximation of functions on an interval, (Proc. Amer. Math. Soc., 18 (1967)), 472-477 · Zbl 0154.05904
[5] Holland, A. S.; Sahney, B. N.; Tzimbalario, J., On best simultaneous approximation, J. Indian Math. Soc., 40, 69-73 (1976) · Zbl 0435.41016
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