Characterizing shape preserving $L_ 1$-approximation
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- by D. Zwick PDF
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Abstract:
With certain restrictions, a characterization of the best ${L_1}$-approximation to a continuous function from the set of $n$-convex functions is proved. Under these restrictions the best approximation is shown to be unique. The case $n = 2$ (convex functions) is considered in more detail.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 1139-1146
- MSC: Primary 41A15; Secondary 26A51
- DOI: https://doi.org/10.1090/S0002-9939-1988-0954996-4
- MathSciNet review: 954996