메뉴 건너뛰기




Volumn 14, Issue 2, 1998, Pages 231-245

Gaussian versus optimal integration of analytic functions

Author keywords

Gaussian quadrature formulas; Numerical integration of analytic functions; Optimal quadrature

Indexed keywords


EID: 0032379891     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003659900072     Document Type: Article
Times cited : (12)

References (15)
  • 2
    • 0039239598 scopus 로고
    • On the optimal speed of integrating analytic functions
    • N. S. BAHVALOV (1967): On the optimal speed of integrating analytic functions (in Russian). Zh. Vychisl. Mat. Mat. Fiz., 7:1011-1020. [English translation: USSR Comput. Math. Math. Phys., 7:63-75.]
    • (1967) Zh. Vychisl. Mat. Mat. Fiz. , vol.7 , pp. 1011-1020
    • Bahvalov, N.S.1
  • 3
    • 85033875920 scopus 로고    scopus 로고
    • N. S. BAHVALOV (1967): On the optimal speed of integrating analytic functions (in Russian). Zh. Vychisl. Mat. Mat. Fiz., 7:1011-1020. [English translation: USSR Comput. Math. Math. Phys., 7:63-75.]
    • USSR Comput. Math. Math. Phys. , vol.7 , pp. 63-75
  • 4
    • 0005642474 scopus 로고
    • Optimal rate of integration and ε-entropy of a class of analytic functions (in Russian)
    • B. D. BOJANOV (1973): Optimal rate of integration and ε-entropy of a class of analytic functions (in Russian). Mat. Zametki, 14:3-10. [English translation: Math. Notes, 19:551-556.]
    • (1973) Mat. Zametki , vol.14 , pp. 3-10
    • Bojanov, B.D.1
  • 5
    • 85033891029 scopus 로고    scopus 로고
    • B. D. BOJANOV (1973): Optimal rate of integration and ε-entropy of a class of analytic functions (in Russian). Mat. Zametki, 14:3-10. [English translation: Math. Notes, 19:551-556.]
    • Math. Notes , vol.19 , pp. 551-556
  • 6
    • 0003855437 scopus 로고
    • Göttingen: Vandenhoeck & Ruprecht
    • H. BRASS (1977): Quadraturverfahren. Göttingen: Vandenhoeck & Ruprecht.
    • (1977) Quadraturverfahren
    • Brass, H.1
  • 9
    • 0041018035 scopus 로고
    • Error estimates for Gauss-Jacobi quadrature formulae
    • (Miller, J. J. H., ed.). London: Academic Press
    • G. FREUD (1973): Error estimates for Gauss-Jacobi quadrature formulae. In: Topics in Numerical Analysis (Miller, J. J. H., ed.). London: Academic Press, pp. 115-121.
    • (1973) Topics in Numerical Analysis , pp. 115-121
    • Freud, G.1
  • 13
    • 0040945967 scopus 로고
    • Exact values of n-widths and optimal quadratures on classes of bounded analytic and harmonic functions
    • K. YU. OSIPENKO (1995): Exact values of n-widths and optimal quadratures on classes of bounded analytic and harmonic functions. J. Approx. Theory, 82:156-175.
    • (1995) J. Approx. Theory , vol.82 , pp. 156-175
    • Osipenko, K.Yu.1
  • 14
    • 0039703862 scopus 로고
    • Gaussian integration of Chebyshev polynomials and analytic functions
    • K. PETRAS (1995): Gaussian integration of Chebyshev polynomials and analytic functions. Numer. Algorithms, 10:187-202.
    • (1995) Numer. Algorithms , vol.10 , pp. 187-202
    • Petras, K.1
  • 15
    • 0004073954 scopus 로고
    • Providence, RI: American Mathematical Society
    • G. SZEGÖ (1939): Orthogonal Polynomials. Providence, RI: American Mathematical Society.
    • (1939) Orthogonal Polynomials
    • Szegö, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.