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Online ISSN 1552-4485; Print ISSN 0033-569X
On best quadrature of analytic functions
Author:
F. Stetter
Journal:
Quart. Appl. Math. 27 (1969), 270-272
MSC:
Primary 65.55
DOI:
https://doi.org/10.1090/qam/247772
MathSciNet review:
247772
Full-text PDF Free Access
References | Similar Articles | Additional Information
- R. E. Barnhill and J. A. Wixom, Quadratures with remainders of minimum norm. I, Math. Comp. 21 (1967), 66–75. MR 223089, DOI https://doi.org/10.1090/S0025-5718-1967-0223089-0
- Philip Davis, Errors of numerical approximation for analytic functions, J. Rational Mech. Anal. 2 (1953), 303–313. MR 54348, DOI https://doi.org/10.1512/iumj.1953.2.52016
- Philip J. Davis, Interpolation and approximation, Blaisdell Publishing Co. Ginn and Co. New York-Toronto-London, 1963. MR 0157156
- Günther Hämmerlin, Zur Abschätzung von Quadraturfehlern für analytische Funktionen, Numer. Math. 8 (1966), 334–344 (German). MR 202306, DOI https://doi.org/10.1007/BF02162978
- I. P. Natanson, Konstruktive Funktionentheorie, Akademie-Verlag, Berlin, 1955 (German). MR 0069915
- F. Stetter, Ableitungsfreie Schranken für die numerische Integration, Computing (Arch. Elektron. Rechnen) 2 (1967), 257–262 (German, with English summary). MR 228177, DOI https://doi.org/10.1007/bf02236611 M. Urabe and S. Mise, A method of integration of analytic differential equations, J. Sci. Hiroshima U., Ser. A 19, 307–320 (1955)
- Richard Alan Valentin, APPLICATIONS OF FUNCTIONAL ANALYSIS TO OPTIMAL NUMERICAL APPROXIMATION FOR ANALYTIC FUNCTIONS, ProQuest LLC, Ann Arbor, MI, 1965. Thesis (Ph.D.)–Brown University. MR 2614886
- Herbert S. Wilf, Exactness conditions in numerical quadrature, Numer. Math. 6 (1964), 315–319. MR 179941, DOI https://doi.org/10.1007/BF01386079
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Article copyright:
© Copyright 1969
American Mathematical Society