Best approximation of certain classes of smooth functions on the real axis by splines of a higher order
Tài liệu tham khảo
N. P. Korneichuk, Splines and Approximation [in Russian], Nauka, Moscow (1984).
Sun Yongsheng, Optimal Coding on Some Classes of Smooth Functions [in Chinese].
Sun Youngsheng, Optimal Interpolation of Some Classes of Smooth Functions over the Whole Real Axis.
E. M. Stein, “Functions of exponential type,” Ann. Math.,65, No. 3, 582–592 (1951).
C. De Boor, “Splines as linear combinations of B-splines,” in: Approximational Theory, II. Academic Press, New York, 1–47 (1976).
N. P. Korneichuk, Extremal Problems of Approximation Theory [in Russian], Nauka, Moscow (1976).
J. F. Traub and H. Wozniakowski, A General Theory of Optimal Algorithms, Academic Press, New York (1980).
G. G. Lorenz, Approximation of Functions, Holt, Reinhalt, and Winston, New York (1966).
Sun Youngsheng and Li Chun, “Optimal recovery forW r z (R) inL 2(R),” Acta Math. Sinica.
Sun Youngsheng, “Optimal interpolation on some classes of differentiable functions (I),” Appr. Theory and Appl.2, No. 4, 49–54 (1986).
Li Chun,L (R)-Optimal Recovery on Some Differentiable Function Classes. Preprint.
Li Chun, On Infinite-Dimensional Width Number in Some Function Classes (II).
