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SimultaneousL 1 approximation of a compact set of real-valued functions

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Summary

In this paper the uniqueness results found in simultaneous Chebychev approximation are extended to simultaneousL 1 approximation. In particular a sufficient condition to guarantee uniqueness of a best approximate to aL 1 compact set is given.

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References

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Authors and Affiliations

  1. Rensselaer Polytechnic Institute, 12181, Troy, New York, USA

    M. P. Carroll

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  1. M. P. Carroll
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This paper is taken in part from a thesis to be submitted by M. P. Carroll in partial fulfillment of the requirements for the Ph. D. degree in the Department of Mathematics at Rensselaer Polytechnic Institute.

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Carroll, M.P. SimultaneousL 1 approximation of a compact set of real-valued functions. Numer. Math. 19, 110–115 (1972). https://doi.org/10.1007/BF01402521

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  • DOI: https://doi.org/10.1007/BF01402521

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