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Volumn 108, Issue 1-2, 1999, Pages 195-208

Product rules on the unit circle with uniformly distributed nodes. Error bounds for analytic functions

Author keywords

41; 65D; Error estimation; Laurent polynomial; Product rule; Szeg formula

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; FUNCTIONS; POLYNOMIALS; Z TRANSFORMS;

EID: 0032599420     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00110-7     Document Type: Article
Times cited : (9)

References (14)
  • 1
    • 34848849008 scopus 로고    scopus 로고
    • Orthogonal rational functions and interpolatory product rules on the unit circle. II: Quadrature and convergence
    • Bultheel A., González-Vera P., Hendriksen E., Njå stad O. Orthogonal rational functions and interpolatory product rules on the unit circle. II. quadrature and convergence Analysis. 18:1998;185-200.
    • (1998) Analysis , vol.18 , pp. 185-200
    • Bultheel, A.1    González-Vera, P.2    Hendriksen, E.3    Njå Stad, O.4
  • 5
    • 0030782869 scopus 로고    scopus 로고
    • Rates of convergence of multipoint rational approximants and quadrature formulas on the unit circle
    • Bultheel A., González-Vera P., Hendriksen E., Njå stad O. Rates of convergence of multipoint rational approximants and quadrature formulas on the unit circle. J. Comput. Appl. Math. 77:1997;77-102.
    • (1997) J. Comput. Appl. Math. , vol.77 , pp. 77-102
    • Bultheel, A.1    González-Vera, P.2    Hendriksen, E.3    Njå Stad, O.4
  • 8
    • 0010935842 scopus 로고
    • Applications of Szegö polynomials to digital signal processing
    • Jones W.B., Njå stad O. Applications of Szegö polynomials to digital signal processing. Rocky Mountain J. Math. 21(1):1991;387-436.
    • (1991) Rocky Mountain J. Math. , vol.21 , Issue.1 , pp. 387-436
    • Jones, W.B.1    Njå Stad, O.2
  • 9
    • 84963011752 scopus 로고
    • Moment theory, orthogonal polynomials, quadrature, and continued fractions associated with the unit circle
    • Jones W.B., Njå stad O., Thron W. Moment theory, orthogonal polynomials, quadrature, and continued fractions associated with the unit circle. Bull. London Math. Soc. 21:1989;113-152.
    • (1989) Bull. London Math. Soc. , vol.21 , pp. 113-152
    • Jones, W.B.1    Njå Stad, O.2    Thron, W.3
  • 12
    • 0000659481 scopus 로고
    • Properties of interpolatory product integration rules
    • Sloan I.H., Smith W.E. Properties of interpolatory product integration rules. SIAM J. Numer. Anal. 19:1982;427-442.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 427-442
    • Sloan, I.H.1    Smith, W.E.2
  • 13
    • 4444366576 scopus 로고
    • Introduction to numerical analysis
    • Springer, New York
    • J. Stoer, R. Bulirsch, Introduction to numerical analysis, Texts in Appied Mathematics, vol. 12, Springer, New York, 1980.
    • (1980) Texts in Appied Mathematics , vol.12
    • Stoer, J.1    Bulirsch, R.2
  • 14
    • 0013018604 scopus 로고
    • A Szegö quadrature formula for the Poisson formula
    • in: C. Brezinski, U. Kulish (Eds.), IMACS, Elsevier, North-Holland, Amsterdam
    • H. Waadeland, A Szegö quadrature formula for the Poisson formula, in: C. Brezinski, U. Kulish (Eds.), Comp. and Appl. Math. I, 1992 IMACS, Elsevier, North-Holland, Amsterdam, pp. 479-486.
    • (1992) Comp. and Appl. Math. , vol.1 , pp. 479-486
    • Waadeland, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.