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Zur Optimalität interpolatorischer Quadraturformeln periodischer Funktionen. (German) Zbl 0332.65012


MSC:

65D30 Numerical integration
41A55 Approximate quadratures
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References:

[1] Kreß, R.: Zur numerischen Integration periodischer Funktionen nach der Rechteckregel. Numer. Math.20, 87-92 (1972) · Zbl 0231.65026 · doi:10.1007/BF01436645
[2] Locher, F., Zeller, K.: Approximationsgüte und numerische Integration. Math. Z.104, 249-251 (1968) · Zbl 0155.21504 · doi:10.1007/BF01110293
[3] Nörlund, N. E.: Vorlesungen über Differenzenrechnung. New York: 1954 · JFM 50.0315.02
[4] Schönhage, A.: Approximationstheorie. Berlin: 1971
[5] Schönhage, A.: Zur Quadratur holomorpher periodischer Funktionen. J. Approx. Theory13, 341-347 (1975) · Zbl 0327.65021 · doi:10.1016/0021-9045(75)90018-0
[6] Stroud, A. H.: Estimating quadrature errors for functions with low continuity. SIAM J. Numer. Anal.3, 420-424 (1966) · Zbl 0219.65027 · doi:10.1137/0703036
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