Simultaneous approximation of a set of bounded real functions
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- by J. B. Diaz and H. W. McLaughlin PDF
- Math. Comp. 23 (1969), 583-593 Request permission
Abstract:
The problem of simultaneous Chebyshev approximation of a set $F$ of uniformly bounded, real-valued functions on a compact interval $I$. by a set $P$ of continuous functions is equivalent to the problem of simultaneous approximation of two real-valued functions ${F^ + }(x),{F^ - }(x)$, with ${F^ - }(x) \leqq {F^ + }(x)$, for all $x$ in $I$, where ${F^ - }$ is lower semicontinuous and ${F^ - }$ is upper semicontinuous.References
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Math. Comp. 23 (1969), 583-593
- MSC: Primary 41.40
- DOI: https://doi.org/10.1090/S0025-5718-1969-0248481-1
- MathSciNet review: 0248481