UNIFORM APPROXIMATION BY TCHEBYCHEFFIAN SPLINE FUNCTIONS. I. FIXED KNOTS.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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The best approximation in the uniform norm of a given continuous function by Tchebycheffian spline functions with fixed knots on an interval a, b is characterized in terms of an alternating property. The maximal alternator is studied, and uniqueness of the best approximation is precisely determined. Continuity of the best approximation and other related results are also obtained. Author
- Theoretical Mathematics