Abstract
Our basic aim in this paper is to study the projectional properties of quadratic interpolatory splines. In §3, we show that in Theorem 3.1 that the linear interpolating projection operator PΔ from C-1 [a, b], the space of all bounded functions on [a, b], to Sp(2,Δ), the space of quadratic splines on [a, b], is bounded, for any partition Δ of [a, b]. In §4, we develop global interpolation error bounds for quadratic spline interpolation. Finally, in §5, we develop local interpolation error bounds.
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