Vector-valued approximation and its application to fitting exponential decay curves
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- by Geneva G. Belford PDF
- Math. Comp. 28 (1974), 179-184 Request permission
Abstract:
This paper deals with characterization of best approximations to vector-valued functions. The approximations are themselves vector-valued functions with components depending nonlinearly on the approximation parameters. The constraint is imposed that certain of the parameters should be identical for all components. An application to exponential approximation is discussed in some detail.References
- Geneva G. Belford, Uniform approximation of vector-valued functions with a constraint, Math. Comp. 26 (1972), 487–492. MR 310511, DOI 10.1090/S0025-5718-1972-0310511-6 G. G. Belford, Simultaneous Fitting of Exponential Decay Curves, CAC Document No. 61, Center for Advanced Computation, University of Illinois at Urbana-Champaign, 1973.
- E. W. Cheney, Introduction to approximation theory, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0222517
- Werner Krabs, Über differenzierbare asymptotisch konvexe Funktionenfamilien bei der nicht-linearen gleichmässigen Approximation, Arch. Rational Mech. Anal. 27 (1967), 275–288 (German). MR 221173, DOI 10.1007/BF00281715
- Günter Meinardus, Approximation of functions: Theory and numerical methods, Expanded translation of the German edition, Springer Tracts in Natural Philosophy, Vol. 13, Springer-Verlag New York, Inc., New York, 1967. Translated by Larry L. Schumaker. MR 0217482
- Eckard Schmidt, Zur Kompaktheit bei Exponentialsummen, J. Approximation Theory 3 (1970), 445–454 (German). MR 271588, DOI 10.1016/0021-9045(70)90045-6
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Math. Comp. 28 (1974), 179-184
- MSC: Primary 41A50; Secondary 65D15
- DOI: https://doi.org/10.1090/S0025-5718-1974-0333541-9
- MathSciNet review: 0333541