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Volumn 39, Issue 1-3, 2005, Pages 237-252

Asymptotic expansion of multivariate Kantorovich type operators

Author keywords

Asymptotic expansion; Kantorovich operators; Multivariate approximation; Simultaneous approximation; Voronovskaja formula

Indexed keywords


EID: 17444431919     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11075-004-3632-y     Document Type: Article
Times cited : (10)

References (11)
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    • Abel, U.1
  • 2
    • 0000231805 scopus 로고
    • A Bernstein-type operator approximating continuous functions on the semi-axis
    • G. Bleimann, P.L. Butzer and L. Hahn, A Bernstein-type operator approximating continuous functions on the semi-axis, Nederl. Akad. Wetensch. Indag. Math. 42 (1980) 255-262.
    • (1980) Nederl. Akad. Wetensch. Indag. Math. , vol.42 , pp. 255-262
    • Bleimann, G.1    Butzer, P.L.2    Hahn, L.3
  • 3
    • 21344454432 scopus 로고    scopus 로고
    • A multivariate Faa di Bruno formula with applications
    • G.M. Constantine and T.H. Savits, A multivariate Faa di Bruno formula with applications, Trans. Amer. Math. Soc. 348(2) (1996) 503-520.
    • (1996) Trans. Amer. Math. Soc. , vol.348 , Issue.2 , pp. 503-520
    • Constantine, G.M.1    Savits, T.H.2
  • 4
    • 0000777758 scopus 로고    scopus 로고
    • Asymptotic expansion and extrapolation for Bernstein polynomials with applications
    • F. Costabile, M.I. Gualtieri and S. Serra, Asymptotic expansion and extrapolation for Bernstein polynomials with applications, BIT 36 (1996) 676-687.
    • (1996) BIT , vol.36 , pp. 676-687
    • Costabile, F.1    Gualtieri, M.I.2    Serra, S.3
  • 5
    • 0002737124 scopus 로고
    • Sur certains développements suivant les polynômes de la forme de S. Bernstein I, II
    • L.V. Kantorovitch, Sur certains développements suivant les polynômes de la forme de S. Bernstein I, II, C. R. Acad. Sci. URSS (1930) 563-568, 595-600.
    • (1930) C. R. Acad. Sci. URSS , pp. 563-568
    • Kantorovitch, L.V.1
  • 6
    • 38249009421 scopus 로고
    • Asymptotic formulae of multivariate Bernstein approximation
    • M.J. Lai, Asymptotic formulae of multivariate Bernstein approximation, J. Approx. Theory 70 (1992) 229-242.
    • (1992) J. Approx. Theory , vol.70 , pp. 229-242
    • Lai, M.J.1
  • 9
  • 10
    • 0037438208 scopus 로고    scopus 로고
    • Asymptotic expansion of multivariate conservative linear operators
    • A.-J. López-Moreno and F.-J. Munoz-Delgado, Asymptotic expansion of multivariate conservative linear operators, J. Comput. Appl. Math. 150 (2003) 219-251.
    • (2003) J. Comput. Appl. Math. , vol.150 , pp. 219-251
    • López-Moreno, A.-J.1    Munoz-Delgado, F.-J.2
  • 11
    • 0034289874 scopus 로고    scopus 로고
    • Asymptotic expansions for multivariate polynomial approximation
    • G. Walz, Asymptotic expansions for multivariate polynomial approximation, J. Comput. Appl. Math. 122 (2000) 317-328.
    • (2000) J. Comput. Appl. Math. , vol.122 , pp. 317-328
    • Walz, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.