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Volumn 146, Issue 2, 2007, Pages 149-156

A quantitative version of Trotter's approximation theorem

Author keywords

Approximation processes; C0 semigroups; Rate of convergence

Indexed keywords


EID: 34249294049     PISSN: 00219045     EISSN: 10960430     Source Type: Journal    
DOI: 10.1016/j.jat.2006.12.003     Document Type: Article
Times cited : (16)

References (13)
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  • 2
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    • Alternative forms with orders of the Lax equivalence theorem in Banach spaces
    • Butzer P.L., Dickmeis W., Jansen Hu., and Nessel R.J. Alternative forms with orders of the Lax equivalence theorem in Banach spaces. Computing 17 (1977) 335-342
    • (1977) Computing , vol.17 , pp. 335-342
    • Butzer, P.L.1    Dickmeis, W.2    Jansen, Hu.3    Nessel, R.J.4
  • 3
    • 34249332727 scopus 로고
    • On the Lax equivalence theorem equipped with orders
    • Butzer P.L., and Weis R. On the Lax equivalence theorem equipped with orders. J. Approximation Theory 19 (1977) 239-252
    • (1977) J. Approximation Theory , vol.19 , pp. 239-252
    • Butzer, P.L.1    Weis, R.2
  • 4
    • 33645014947 scopus 로고
    • Classical approximation processes in connection with Lax equivalence theorems with orders
    • Dickmeis W., and Nessel R.J. Classical approximation processes in connection with Lax equivalence theorems with orders. Acta Sci. Math. 40 (1978) 33-48
    • (1978) Acta Sci. Math. , vol.40 , pp. 33-48
    • Dickmeis, W.1    Nessel, R.J.2
  • 6
    • 84980148617 scopus 로고
    • A class of degenerate diffusion processes occurring in population genetics
    • Ethier S.N. A class of degenerate diffusion processes occurring in population genetics. Comm. Pure Appl. Math. 29 (1976) 483-493
    • (1976) Comm. Pure Appl. Math. , vol.29 , pp. 483-493
    • Ethier, S.N.1
  • 7
    • 0037908467 scopus 로고
    • A Bernstein type operator on the simplex
    • Goodmann T.N.T., and Sharma A. A Bernstein type operator on the simplex. Math. Balkanica 5 (1991) 129-145
    • (1991) Math. Balkanica , vol.5 , pp. 129-145
    • Goodmann, T.N.T.1    Sharma, A.2
  • 8
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    • Degree of approximation by lacunary interpolators: (0, ..., R - 2, R) interpolation
    • Gonska H. Degree of approximation by lacunary interpolators: (0, ..., R - 2, R) interpolation. Rocky Mountain J. Math. 19 (1989) 157-171
    • (1989) Rocky Mountain J. Math. , vol.19 , pp. 157-171
    • Gonska, H.1
  • 9
    • 33644991325 scopus 로고    scopus 로고
    • The limiting semigroup of the Bernstein iterates: degree of convergence
    • Gonska H., and Rasa I. The limiting semigroup of the Bernstein iterates: degree of convergence. Acta Math. Hungar. 111 (2006) 111-122
    • (2006) Acta Math. Hungar. , vol.111 , pp. 111-122
    • Gonska, H.1    Rasa, I.2
  • 10
    • 34249341351 scopus 로고    scopus 로고
    • D.P. Kacsó, Certain Bernstein-Durrmeyer type operators preserving linear functions, preprint 2006.
  • 12
    • 84968509331 scopus 로고
    • Approximating semigroups and the consistency of difference schemes
    • Strang G. Approximating semigroups and the consistency of difference schemes. Proc. Amer. Math. Soc. 20 (1969) 1-7
    • (1969) Proc. Amer. Math. Soc. , vol.20 , pp. 1-7
    • Strang, G.1
  • 13
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    • Approximation of semi-groups of operators
    • Trotter H.F. Approximation of semi-groups of operators. Pacific J. Math. 8 (1958) 887-919
    • (1958) Pacific J. Math. , vol.8 , pp. 887-919
    • Trotter, H.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.