Best rotated minimax approximation
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Abstract
In this dissertation we consider the minimax approximation of
functions f(x) E"C[O, l] rotated about the origin, and the characterization
of the optimal rotation, a*, of f in the sense of least minimax error
over all possible rotations. The paper divides naturally into two
sections: a) Existence, uniqueness, and characterization for unisolvent
minimax approximation for each rotation a of f. These results are
applications of Dunham (1967). b) Existence, non-uniqueness, and com.putation of a*; derivation of necessary conditions for the minimax [TRUNCATED]
Description
Thesis submitted 1970; degree awarded 1971.
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