A divided difference expansion of a divided difference. (English) Zbl 1022.65024
J. Approximation Theory 122, No. 1, 10-12 (2003); erratum ibid. 124, 1137 (2003).
Author’s abstract: A divided difference expansion with remainder for a general divided difference is derived that contains M. S. Floater’s recent derivative expansion [ibid. 122, No. 1, 1-9 (2003; Zbl 1016.41016)] as a special case.
Reviewer: E.Deeba (Houston)
Citations:
Zbl 1016.41016References:
| [1] | Dokken, T.; Lyche, T., A divided difference formula for the error in Hermite interpolation, BIT, 19, 540-541 (1979) · Zbl 0428.41002 |
| [2] | Floater, M., Error formulas for divided difference expansions and numerical differentiation, J. Approx. Theory, 122, 1-9 (2003) · Zbl 1016.41016 |
| [3] | E. Hopf, Über die zusammenhänge zwischen gewissen höheren differenzenquotienten reeller funktioneneiner reellen variablen und deren differenzier bar keitseigenschaften, dissertation Universität Berlin (30 pp.), 1926.; E. Hopf, Über die zusammenhänge zwischen gewissen höheren differenzenquotienten reeller funktioneneiner reellen variablen und deren differenzier bar keitseigenschaften, dissertation Universität Berlin (30 pp.), 1926. |
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