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Simultaneous Approximation of Function and Derivative on [0,∞] and an Application to Initial Value Problems

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Polynomial and Spline Approximation

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 49))

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Abstract

Convergence of the approximation of a class of functions defined on [0,∞] and their derivatives by exponomials and Laguerre functions is established. These results are used in the analysis of a new finite element type for initial value problems.

Partially supported by USAF Office of Scientific Research Contract No. F44620-76-0104.

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References

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© 1979 Springer Science+Business Media Dordrecht

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Hall, C. (1979). Simultaneous Approximation of Function and Derivative on [0,∞] and an Application to Initial Value Problems. In: Sahney, B.N. (eds) Polynomial and Spline Approximation. NATO Advanced Study Institutes Series, vol 49. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9443-0_5

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  • DOI: https://doi.org/10.1007/978-94-009-9443-0_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-9445-4

  • Online ISBN: 978-94-009-9443-0

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