The aim of this work is to introduce for a discrete function, certain discrete integrals which may reduce in particular to usual Riemann Stieltjes integrals. We name them as Discrete Stieltjes integrals. The existence and convergence of a discrete cubic interpolatory spline whose discrete Stieltjes integrals between consecutive meshpoints match with the corresponding integrals of a given periodic discrete function, are studied.
Cite this article
Manjulata Shrivastava, Generalised Mean Averaging Interpolation by Discrete Cubic Splines. Publ. Res. Inst. Math. Sci. 30 (1994), no. 1, pp. 89–95DOI 10.2977/PRIMS/1195166276