On the Optimal Approximation of Linear Functionals in Spaces of Bivariate Functions
1971; Society for Industrial and Applied Mathematics; Volume: 8; Issue: 1 Linguagem: Inglês
10.1137/0708015
ISSN1095-7170
Autores Tópico(s)Advanced Numerical Analysis Techniques
ResumoPrevious article Next article On the Optimal Approximation of Linear Functionals in Spaces of Bivariate FunctionsLois E. MansfieldLois E. Mansfieldhttps://doi.org/10.1137/0708015PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] J. H. Ahlberg, , E. N. Nilson and , J. L. Walsh, Extremal, orthogonality, and convergence properties of multidimensional splines, J. Math. Anal. Appl., 12 (1965), 27–48 10.1016/0022-247X(65)90051-X MR0225064 0136.04802 CrossrefISIGoogle Scholar[2] J. H. Ahlberg, , E. N. Nilson and , J. L. Walsh, The theory of splines and their applications, Academic Press, New York, 1967xi+284 MR0239327 0158.15901 Google Scholar[3] Carl de Boor and , Robert E. Lynch, On splines and their minimum properties, J. Math. Mech., 15 (1966), 953–969 MR0203306 0185.20501 ISIGoogle Scholar[4] Michael Golomb and , Hans F. Weinberger, Optimal approximation and error bounds, On numerical approximation. Proceedings of a Symposium, Madison, April 21–23, 1958, Edited by R. E. Langer. Publication No. 1 of the Mathematics Research Center, U.S. Army, the University of Wisconsin, The University of Wisconsin Press, Madison, Wis., 1959, 117–190 MR0121970 0092.05802 Google Scholar[5] Lois E. Mansfield, Optimal approximation and error bounds in spaces of bivariate functions, J. Approximation Theory, 5 (1972), 77–96 10.1016/0021-9045(72)90031-7 MR0336189 0247.41012 CrossrefGoogle Scholar[6] Arthur Sard, Linear approximation, American Mathematical Society, Providence, R.I., 1963xi+544 MR0158203 0115.05403 CrossrefGoogle Scholar[7] L. L. Schumaker, T. N. E. Greville, Some algorithms for the computation of interpolating and approximating spline functions, Theory and Applications of Spline Functions (Proceedings of Seminar, Math, Research Center, Univ. of Wisconsin, Madison, Wis., 1968), Academic Press, New York, 1969, 87–102 MR0239330 0188.22301 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Scattered data points best interpolation as a problem of the best recovery in the sense of SardFilomat, Vol. 23, No. 2 | 1 Jan 2009 Cross Ref On the best recovery of a linear functional in a certain class of bivariate functionsNumerical Functional Analysis and Optimization, Vol. 21, No. 7-8 | 15 May 2007 Cross Ref C ONSTRUCTING M ULTIDIMENSIONAL M OLECULAR P OTENTIAL E NERGY S URFACES FROM A B I NITIO D ATAAnnual Review of Physical Chemistry, Vol. 50, No. 1 | 1 Oct 1999 Cross Ref ReferencesHandbook of Splines | 1 Jan 1999 Cross Ref Методы приближенного восстановления функций, заданных на хаотических сеткахИзвестия Российской академии наук. 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