Best Error Bounds for Approximation by Piecewise Polynomial Functions
Publications des séminaires de mathématiques et informatique de Rennes, Journées éléments finis, no. S4 (1977), article no. 14, 13 p.
@article{PSMIR_1977___S4_A14_0,
     author = {Widlund, Olof},
     title = {Best {Error} {Bounds} for {Approximation} by {Piecewise} {Polynomial} {Functions}},
     journal = {Publications des s\'eminaires de math\'ematiques et informatique de Rennes},
     eid = {14},
     pages = {1--13},
     publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes},
     number = {S4},
     year = {1977},
     language = {en},
     url = {http://archive.numdam.org/item/PSMIR_1977___S4_A14_0/}
}
TY  - JOUR
AU  - Widlund, Olof
TI  - Best Error Bounds for Approximation by Piecewise Polynomial Functions
JO  - Publications des séminaires de mathématiques et informatique de Rennes
PY  - 1977
SP  - 1
EP  - 13
IS  - S4
PB  - Département de Mathématiques et Informatique, Université de Rennes
UR  - http://archive.numdam.org/item/PSMIR_1977___S4_A14_0/
LA  - en
ID  - PSMIR_1977___S4_A14_0
ER  - 
%0 Journal Article
%A Widlund, Olof
%T Best Error Bounds for Approximation by Piecewise Polynomial Functions
%J Publications des séminaires de mathématiques et informatique de Rennes
%D 1977
%P 1-13
%N S4
%I Département de Mathématiques et Informatique, Université de Rennes
%U http://archive.numdam.org/item/PSMIR_1977___S4_A14_0/
%G en
%F PSMIR_1977___S4_A14_0
Widlund, Olof. Best Error Bounds for Approximation by Piecewise Polynomial Functions. Publications des séminaires de mathématiques et informatique de Rennes, Journées éléments finis, no. S4 (1977), article  no. 14, 13 p. http://archive.numdam.org/item/PSMIR_1977___S4_A14_0/

[1] Babuska I., and Kellogg R.B. - SIAM J. Numer. Anal., 12, 1975. | MR

[2] Brenner P., Thomee V., and Wahlbin L.B. : Besov spaces and applications to difference methods for initial value problems. Berlin, Springer, 1975. | MR | Zbl

[3] Burchard H.G., and Hale D.F. - J. Approximation Theory, 14, 1975. | MR | Zbl

[4] Campanato S. - Ann. Scuola Norm. Sup. Pisa, 17, 1963. | Numdam | MR

[5] Campanato S. - Ann. Scuola Norm. Sup. Pisa, 18, 1964.

[6] De Boor C. - J. Approximation Theory, 1, 1968.

[7] Gagliardo E. - Rend. Sem. Mat., Univ. Padova, 27, 1957. | Numdam | MR

[8] Grevholm B. - Math. Scand., 26, 1970. | MR

[9] Hedstrom G.W., and Varga R.S. - J. Approximation Theory, 4, 1971. | MR | Zbl

[10] Hörmander L., Acta Math., 104, 1960.

[11] Löfström J. - Ann. Mat. Pure Apppl., 85, 1970.

[12] Mcclure D.E. - Quart. Appl. Math., 33, 1975. | MR

[13] Nikolskii S.M. - Approximation of functions of several variables and imbedding theorems. New York, Springer, 1975. | MR | Zbl

[14] Peetre J. : Funderingar om Becov-rum. Lecture notes (Swedish), Dept. of Math., Lund, 1966.

[15] Peetre J. - C.R. Acad. Sc., Paris, 264, 1967. | MR

[16] Peetre J. - Math. Annalen, 169, 1967. | MR

[17] Peetre J. : Analysis in quasi-Banach space and approximation theory. Technical report, 1972 : 3, Dept. of Math., Lund, 1972.

[18] Peetre J. : New thoughts on Besov spaces. Lecture notes, Dept. of Math. Duke Univ., 1974. | MR | Zbl

[19] Rice J.R. - In : Schoenberg I.J. : Approximation with special emphasis on spline functions. Proc. Sump. Univ. Wisconsin, 1969, New York, Academic Press, 1969. | Zbl

[20] Shapiro H.S. : Smoothing and approximation of functions. New York, van Nostrand Reinhold, 1969. | MR | Zbl

[21] Stein E.M. - Bull. Amer. Math. Soc., 68, 1962. | MR

[22] Stein E.M. : Singular integrals and differentiability properties of functions. Princeton, Princeton Univ. Press, 1970. | MR | Zbl

[23] Stephens A.B. : The convergence of the residual for projective approximations, to appear. | MR | Zbl

[24] Strang G. - Numer. Math., 19, 1972. | MR

[25] Taibleson M.H. - J. Math. Mech., 13, 1964 | MR

Taibleson M.H. - J. Math. Mech., 14, 1965 | MR

Taibleson M.H. - J. Math. Mech., 15, 1966. | MR

[26] Timam A.F. : Theory of approximation of functions of a real variable. New York, MacMillan, 1973. | Zbl

[27] Widlund O. - Numer. Math., 27, 1977. | MR

[28] Zygmund A. : Trigonometric series I., Cambridge, Cambridge University Press, 1959. | MR | Zbl