## Best Uniform Rational Approximation of x^α on [0, 1] (1993)

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by
Herbert R. Stahl

### BibTeX

@MISC{Stahl93bestuniform,

author = {Herbert R. Stahl},

title = {Best Uniform Rational Approximation of x^α on [0, 1] },

year = {1993}

}

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### Abstract

For the uniform approximation of x on [0, 1] by rational functions the following strong error estimate is proved: Let Enn (x , [0, 1]) denote the minimal approximation error in the uniform norm on [0, 1] of rational approximants to x with numerator and denominator degree at most n, then the the limit Enn (x holds for all # > 0.