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Local behaviour of the first derivative of a deficient cubic spline interpolator

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Abstract

Considering a given functionf ∈C 4 and its unique deficient cubic spline interpolant, which match the given function and its derivative at mid point between the successive mesh point, we have obtained in the present paper asymptotically precise estimate fors′ -f′.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, R.D. University, 482001, Jabalpur, India

    Surendra Singh Rana

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  1. Surendra Singh Rana
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Rana, S.S. Local behaviour of the first derivative of a deficient cubic spline interpolator. Proc. Indian Acad. Sci. (Math. Sci.) 105, 393–397 (1995). https://doi.org/10.1007/BF02836874

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  • DOI: https://doi.org/10.1007/BF02836874

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