New lower bound estimates for quadratures of bounded analytic functions
arXiv:1408.60241 citationsh-index: 27
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For numerical analysts, this refines the fundamental limits of quadrature accuracy for a class of analytic functions, though the improvement is incremental.
The paper provides an improved lower bound for the error of quadratures computing integrals of bounded analytic functions over [-1,1], offering a tighter theoretical guarantee than previously known.
We give an improved lower bound for the error of any quadrature computing $\int_{-1}^1 f(x) dα(x)$ of analytic functions bounded in the neighborhood of $[-1,1]$.