The Approximation of Linear Functionals
1966; Society for Industrial and Applied Mathematics; Volume: 3; Issue: 2 Linguagem: Inglês
10.1137/0703013
ISSN1095-7170
Autores Tópico(s)Heat Transfer and Numerical Methods
ResumoPrevious article Next article The Approximation of Linear FunctionalsJ. H. Ahlberg and E. N. NilsonJ. H. Ahlberg and E. N. Nilsonhttps://doi.org/10.1137/0703013PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] J. H. Ahlberg, , E. N. Nilson and , J. L. Walsh, Fundamental properties of generalized splines, Proc. Nat. Acad. Sci. U.S.A., 52 (1964), 1412–1419 MR0223799 0136.36204 CrossrefISIGoogle Scholar[2] J. H. Ahlberg, , E. N. Nilson and , J. L. Walsh, Convergence properties of generalized splines, Proc. Nat. Acad. Sci. U.S.A., 54 (1965), 344–350 MR0223800 0136.36301 CrossrefISIGoogle Scholar[3] Arthur Sard, Linear approximation, American Mathematical Society, Providence, R.I., 1963xi+544 MR0158203 0115.05403 CrossrefGoogle Scholar[4] I. J. Schoenberg, On best approximations of linear operators, Nederl. Akad. Wetensch. Proc. Ser. A 67 = Indag. Math., 26 (1964), 155–163 MR0161075 0146.08501 CrossrefGoogle Scholar[5] I. J. Schoenberg, On monosplines of last deviation and best quadrature formulae, J. Soc. Indust. Appl. Math. Ser. B Numer. Anal., 2 (1965), 144–170 MR0202309 0136.36203 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Complex Cubic Splines Cross Ref On Hermite-Birkhoff Interpolation Cross Ref On Hermite-Birkhoff Interpolation Cross Ref Предельная связь для различных методов приближения периоди ческих функций сплай нами и тригонометрически ми полиномамиAnalysis Mathematica, Vol. 13, No. 1 Cross Ref Lacunary interpolation by splines (0; 0, 2, 3) and (0; 0, 2, 4) casesActa Mathematica Academiae Scientiarum Hungaricae, Vol. 36, No. 3-4 Cross Ref On best cubature formulas and spline interpolationNumerische Mathematik, Vol. 32, No. 3 Cross Ref Characteristic properties of best quadrature formulasSiberian Mathematical Journal, Vol. 20, No. 1 Cross Ref Lacunary interpolation by splines. IActa Mathematica Academiae Scientiarum Hungaricae, Vol. 31, No. 3-4 Cross Ref Lacunary interpolation by splines. IIActa Mathematica Academiae Scientiarum Hungaricae, Vol. 31, No. 3-4 Cross Ref Das Spline-Problem als ein ApproximationsproblemJournal of Approximation Theory, Vol. 12, No. 3 Cross Ref Multivariate Smoothing and Interpolating SplinesGregory M. Nielson14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 11, No. 2AbstractPDF (670 KB)Approximation based on nonscalar observationsJournal of Approximation Theory, Vol. 8, No. 4 Cross Ref Bivariate spline functions and the approximation of linear functionalsNumerische Mathematik, Vol. 21, No. 2 Cross Ref Integration formulas and schemes based on 𝑔-splines1 January 1973 | Mathematics of Computation, Vol. 27, No. 124 Cross Ref Linear Multistep Formulas Based on g-SplinesGeorge D. Byrnet and Donald N. H. Chi3 August 2006 | SIAM Journal on Numerical Analysis, Vol. 9, No. 2AbstractPDF (665 KB)On spline systems: L m -splinesMathematische Zeitschrift, Vol. 126, No. 2 Cross Ref Optimal approximation and error bounds in spaces of bivariate functionsJournal of Approximation Theory, Vol. 5, No. 1 Cross Ref Two-dimensional spline functions and best approximations of linear functionalsJournal of Approximation Theory, Vol. 3, No. 4 Cross Ref On spline systemsMonatshefte f�r Mathematik, Vol. 74, No. 5 Cross Ref On spaces of distributions related to Schoenberg's approximation theoremMathematische Zeitschrift, Vol. 114, No. 5 Cross Ref Elliptic spline functions and the Rayleigh-Ritz-Galerkin method1 January 1970 | Mathematics of Computation, Vol. 24, No. 109 Cross Ref The question of uniqueness for G. D. Birkhoff interpolation problemsJournal of Approximation Theory, Vol. 2, No. 1 Cross Ref On Lg-splinesJournal of Approximation Theory, Vol. 2, No. 1 Cross Ref Numerical methods of high-order accuracy for nonlinear boundary value problems IV. Periodic boundary conditionsNumerische Mathematik, Vol. 12, No. 4 Cross Ref A general method for the construction of interpolating or smoothing spline-functionsNumerische Mathematik, Vol. 12, No. 1 Cross Ref On the Ahlberg-Nilson extension of spline interpolation: The g-splines and their optimal propertiesJournal of Mathematical Analysis and Applications, Vol. 21, No. 1 Cross Ref L-SplinesNumerische Mathematik, Vol. 10, No. 4 Cross Ref Optimal approximationJournal of Functional Analysis, Vol. 1, No. 2 Cross Ref Complex cubic splines1 January 1967 | Transactions of the American Mathematical Society, Vol. 129, No. 3 Cross Ref On Hermite-Birkhoff interpolationJournal of Mathematical Analysis and Applications, Vol. 16, No. 3 Cross Ref Volume 3, Issue 2| 1966SIAM Journal on Numerical Analysis History Submitted:16 October 1965Published online:14 July 2006 InformationCopyright © 1966 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0703013Article page range:pp. 173-182ISSN (print):0036-1429ISSN (online):1095-7170Publisher:Society for Industrial and Applied Mathematics
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