Controlled approximation and a characterization of the local approximation order

Proceedings of the American Mathematical Society

Volumn 95, Issue 4, 1985, Pages 547-553

  De Boor, C D ^a,b   Jia, R Q ^a,b  

^a AT and T Bell Labs   (United States)

^b ZHEJIANG UNIVERSITY   (China)

Author keywords

Approximation order; Box splines; Controlled approximation; Finite element analysis; Fourier series; Multivariate

Indexed keywords

EID: 84968482693     PISSN: 00029939     EISSN: 10886826     Source Type: Journal    
DOI: 10.1090/S0002-9939-1985-0810161-X     Document Type: Article

References (8)

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4. R.-q. Jia, A counterexample to a result of Strang and Fix concerning controlled approximation, MRC TSR# 2743, 1984.
5. W. Rudin, Function theory in the unit hall of C”, Grundlehren Math. Wiss., Vol. 241, Springer-Verlag, New York, 1980.
6. I. J. Schoenberg, Contributions to the problem of approximation of equidistant data by analytic functions. A, B, Quart. Appl. Math. (1946), 45-99, 112-141.
7. G. Strang, The finite element method and approximation theory, Numerical Solution of Partial Differential Equations. II, SYNSPADE 1970 (B. Hubbard, ed.), Univ. of Maryland, College Park, 1971, pp. 547-583.
8. G. Strang and G. Fix, A Fourier analysis of the finite element variational method, Constructive Aspects of Functional Analysis (G. Geymonat, ed.), C.I.M.E., 1973, pp. 793-840.