[Author] N. V. Chashnikov [Title] Limit curves for discrete periodic analogue of Hermite spline interpolation [AMS Subj-class] 42C20 Other transformations of harmonic type 65D07 Splines [Abstract] A sequence of discrete $mn$-periodic functions which have given values and increments for $m$ equally spaced arguments is considered. It is proven that set of function's values converges to a polynomial spline when $n$ tends to infinity. [Comments] Russian, 14 pp. [Contact e-mail] nik239@list.ru