Integral formulas for chebyshev polynomials and the error term of interpolatory quadrature formulae for analytic functions

Mathematics of Computation

Volumn 75, Issue 255, 2006, Pages 1217-1231

  Notaris, Sotirios E ^a  

^a UNIVERSITY OF ATHENS   (Greece)

Author keywords

Chebyshev polynomials; Error bounds; Integral formulas; Interpolatory quadrature formulae

Indexed keywords

EID: 33746353381     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-06-01859-X     Document Type: Article

References (7)

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4. P.J. DAVIS AND P. RABINOWITZ, Methods of Numerical Integration, 2nd ed., Academic Press, San Diego, 1984. MR0760629 (86d:65004)
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6. G. HÄMMERLIN, "Fehlerabschätzung bei numerischer Integration nach Gauss" in (B. Brosowski and E. Martensen, eds.), Methoden und Verfahren der mathematischen Physik, vol. 6, Bibliographisches Institut, Mannheim-Wien-Zürich, 1972, pp. 153-163. MR0359277 (50:11732)
7. S.E. NOTARIS, "Interpolatory quadrature formulae with Chebyshev abscissae", J. Comput. Appl. Math., v. 133, 2001, pp. 507-517. MR1858308 (2002g:65027)