Discrete cubic interpolatory splines (Q1328911)

Discrete cubic splines are continuous piecewise cubic polynomial functions which satisfy discrete smoothness conditions at the joints by matching the first and second central differences (in terms of a value \(h\), say). As \(h\to 0\), the discrete cubic spline corresponds to the usual cubic spline. Considering averaging conditions, \textit{A. Chatterjee} and the reviewer [J. Orissa Math. Soc. 1, No. 2, 1-11 (1982; Zbl 0557.41005)] have studied a cubic spline interpolation problem. The corresponding analogue for discrete cubic splines with a wider choice of the averaging conditions has been studied by the author.