Error bounds of potential theoretic numerical integration formulas in weighted Hardy spaces
Author:
Affiliation:
1. Graduate School of Information Science and Technology, The University of Tokyo
Publisher
The Japan Society for Industrial and Applied Mathematics
Link
https://www.jstage.jst.go.jp/article/jsiaml/12/0/12_21/_pdf
Reference8 articles.
1. 1) K. Tanaka, T. Okayama and M. Sugihara, Potential theoretic approach to design of accurate numerical integration formulas in weighted Hardy spaces, in: Proc. of Approximation Theory XV, Springer Proc. Math. Stat., Vol. 201, pp. 335-360, Springer, Cham, 2016.
2. 2) C. Schwartz, Numerical integration of analytic functions, J. Comput. Phys., 4 (1969), 19-29.
3. 3) S. Haber, The tanh rule for numerical integration, SIAM J. Numer. Anal., 14, 668-685.
4. 4) H. Takahasi and M. Mori, Double exponential formulas for numerical integration, Publ. RIMS, Kyoto Univ., 9 (1974), 721-741.
5. 5) M. Sugihara, Optimality of the double exponential formula -- functional analysis approach, Numer. Math., 75 (1997), 379-395.
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