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Optimal numerical quadrature in \(H_p\) spaces. (English) Zbl 0276.65012


MSC:

65D30 Numerical integration
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References:

[1] Loeb, H.L.: A Note on Optimal Integration inH ?. To appear C. r. Acad. Bulgare Sci.
[2] Bojanov, B.: On Optimal Methods of Integration for a Certain Class of Analytic Functions. Preprint · Zbl 0276.65010
[3] Barrar, R.B., Loeb, H.L., Werner, H.: Optimal Integration Formulas for Analytic Functions. Bull. Amer. math. Soc.79, 1296-1298 (1973) · Zbl 0278.41031
[4] Newman, D.J.: Rational Approximation to |x|. Michigan math. J.11, 11-14 (1964) · Zbl 0138.04402
[5] Wilf, H.: Exactness Conditions in Numerical Quadratures. Numerische Math.6, 315-319 (1964) · Zbl 0123.12203
[6] Johnson, L.W., Riess, R.D.: Minimal Quadratures for Functions of Low Order Continuity. Math. Comput.25, 831-835 (1971) · Zbl 0241.65018
[7] Duren, P.L.: Theory ofH p Spaces. New York-London: Academic Press 1970 · Zbl 0215.20203
[8] Meinardus, G.: Approximation of Functions: Theory and Numerical Methods. Berlin-Heidelberg-New York: Springer 1967 · Zbl 0152.15202
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