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Error Inequalities for Discrete Hermite and Spline Interpolation

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Recent Progress in Inequalities

Part of the book series: Mathematics and Its Applications ((MAIA,volume 430))

Abstract

In this paper we shall develop a class of discrete Hermite and spline interpolates in one and two independent variables. Further, we shall offer explicit error bounds in ℓ∞ norm for both cubic and bicubic discrete Hermite and spline interpolates.

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Wong, P.J.Y., Agarwal, R.P. (1998). Error Inequalities for Discrete Hermite and Spline Interpolation. In: Milovanović, G.V. (eds) Recent Progress in Inequalities. Mathematics and Its Applications, vol 430. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9086-0_21

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  • DOI: https://doi.org/10.1007/978-94-015-9086-0_21

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4945-2

  • Online ISBN: 978-94-015-9086-0

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