Abstract
A new case of the solvability of the classical interpolation problem for periodic splines is described.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
J. H. Ahlberg, E. N. Nilson, and J. L. Walsh, “Best approximation and convergence properties of higher order spline approximations,” I, Math. Mech.,14, 231–244 (1965).
J. H. Ahlberg, E. N. Nilson, and J. L. Walsh, The Theory of Splines and Their Applications, Academic Press, New York (1967).
F. R. Gantmakher and M. G. Krein, Oscillatory Matrices and Kernels and Small Vibrations of Mechanical Systems [in Russian], Moscow-Leningrad (1950).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 8, No. 5, pp. 563–573, November, 1970.
I wish to thank S. B. Stechkin for his valuable suggestions and constant interest in this work.
Rights and permissions
About this article
Cite this article
Galkin, P.V. The possibility of periodic spline interpolation. Mathematical Notes of the Academy of Sciences of the USSR 8, 786–791 (1970). https://doi.org/10.1007/BF01146933
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01146933