Is Gauss quadrature optimal for analytic functions?

Author:

Kowalski M. A.,Werschulz A. G.,Woźniakowski H.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference15 articles.

1. Bakhvalov, N.S.: On the optimal speed of integrating analytic functions (in Russian). Zh. Vychisl. Mat. Mat. Fiz.7, 1011–1020 (1967). (English Transl.): U.S.S.R. Comput. Math. Math. Phys.7, 63–75 (1967)

2. Bakhvalov, N.S.: On the optimality of linear methods for operator approximation in convex classes of functions (in Russian). Zh. Vychisl. Mat. Mat. Fiz.11, 1014–1018 (1971). (English Transl.): U.S.S.R. Comput. Math. Math. Phys.11, 244–249 (1971)

3. Barnhill, R.E.: Asymptotic properties of minimum norm and optimal quadratures. Numer. Math.12, 384–393 (1968)

4. Bojanov, B.D.: Best quadrature formula for a certain class of analytic functions. Zastosow. Mat.14, 441–447 (1974)

5. Bojanov, B.D.: Optimal rate of integration and ε-entropy of a class of analytic functions (in Russian). Mat. Zametki14, 3–10 (1973). (English Transl.): Math. Notes19, 551–556 (1973)

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