On the uniqueness of best 𝐿₂[0,1] approximation by piecewise polynomials with variable breakpoints

Chow, Jeff

doi:10.1090/S0025-5718-1982-0669650-9

On the uniqueness of best $L_{2}[0, 1]$ approximation by piecewise polynomials with variable breakpoints
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Math. Comp. 39 (1982), 571-585 Request permission

Abstract:

In this paper a sufficient condition for the uniqueness of best ${L_2}[0,1]$ approximation by piecewise polynomials of order k with variable breakpoints is generalized from that of order 2. Other extensions included here are nonuniqueness and eventual uniqueness results.

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