Abstract
The power of “integral representations” was demonstrated in 3.8: they lead to local power series expansions. If the (Riemann) integrals involved are approximated by Riemann sums, we get global rational approximations to the function.
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Burckel, R.B. (2021). Polynomial and Rational Approximation— Runge Theory. In: Classical Analysis in the Complex Plane. Cornerstones. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-0716-1965-0_9
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DOI: https://doi.org/10.1007/978-1-0716-1965-0_9
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