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Author ID: sommer.manfred Recent zbMATH articles by "Sommer, Manfred"
Published as: Sommer, Manfred; Sommer, M.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 261 times in 127 Documents Cited by Year
Eigenschaften von schwach tschebyscheffschen Räumen. Zbl 0374.41015
Sommer, Manfred; Strauss, Hans
22
1977
Characterization of continuous selections of the metric projection for spline functions. Zbl 0384.41008
Nürnberger, Günther; Sommer, Manfred
17
1978
Algorithms for piecewise polynomials and splines with free knots. Zbl 0668.41009
Meinardus, G.; Nürnberger, G.; Sommer, M.; Strauss, H.
15
1989
Generalized Chebyshevian splines. Zbl 0571.41007
Nürnberger, G.; Schumaker, L. L.; Sommer, M.; Strauss, H.
14
1984
A Remez type algorithm for spline functions. Zbl 0489.65011
Nürnberger, Günther; Sommer, Manfred
13
1983
Weak Chebyshev subspaces and continuous selections for the metric projection. Zbl 0389.41017
Nürnberger, Günther; Sommer, Manfred
12
1978
Weak Chebyshev spaces and best \(L_1\)-approximation. Zbl 0514.41032
Sommer, Manfred
11
1983
Approximation by generalized splines. Zbl 0646.41004
Nürnberger, G.; Schumaker, L. L.; Sommer, M.; Strauss, H.
10
1985
Interpolation by generalized splines. Zbl 0528.41006
Nürnberger, Günther; Schumaker, L. L.; Sommer, Manfred; Strauss, H.
10
1983
An algorithm for segment approximation. Zbl 0569.65012
Nürnberger, G.; Sommer, M.; Strauß, H.
10
1986
Interpolation by uni- and multivariate generalized splines. Zbl 0837.41010
Sommer, Manfred; Strauss, Hans
8
1995
Alternation for best spline approximations. Zbl 0489.65010
Nürnberger, Günther; Sommer, Manfred
7
1983
Characterization of continuous selections for the metric projection for generalized splines. Zbl 0424.41027
Sommer, Manfred
7
1980
Characterization of continuous selections of the metric projection for a class of weak Chebyshev spaces. Zbl 0492.41040
Sommer, Manfred
6
1982
Some results on best \(L_ 1\)-approximation of continuous functions. Zbl 0534.41017
Sommer, Manfred
6
1983
On almost interpolation and locally linearly independent bases. Zbl 1084.41501
Davydov, O.; Sommer, M.; Strauss, H.
6
1999
Locally linearly independent systems and almost interpolation. Zbl 0894.41002
Davydov, Oleg; Sommer, Manfred; Strauss, Hans
6
1997
Uniform approximation by generalized splines with free knots. Zbl 0697.41005
Nürnberger, G.; Schumaker, L.; Sommer, M.; Strauss, H.
6
1989
A characterization of pointwise-Lipschitz-continuous selections for the metric projection. Zbl 0488.41034
Blatt, Hans-Peter; Nürnberger, Günther; Sommer, Manfred
5
1982
Interpolation by bivariate linear splines. Zbl 0965.41004
Davydov, Oleg; Sommer, Manfred; Strauss, Hans
5
2000
Examples of unicity subspaces in \(L_ 1\)-approximation. Zbl 0584.41012
Sommer, Manfred
5
1987
A condition of Schoenberg-Whitney type for multivariate spline interpolation. Zbl 0856.41002
Sommer, Manfred; Strauss, Hans
5
1996
Continuous selections of the metric projection for 1-Chebyshev spaces. Zbl 0408.41020
Sommer, Manfred
5
1979
Weak Descartes systems in generalized spline spaces. Zbl 0647.41014
Sommer, Manfred; Strauss, Hans
4
1988
A characterization of Descartes systems in Haar subspaces. Zbl 0687.46006
Sommer, Manfred; Strauss, Hans
4
1989
On almost interpolation by multivariate splines. Zbl 0891.41004
Davydov, Oleg; Sommer, Manfred; Strauss, Hans
4
1997
Nonexistence of continuous selections of the metric projection for a class of weak Chebyshev spaces. Zbl 0371.41016
Sommer, Manfred
4
1980
Unicity of best one-sided \(L_ 1-\)approximations for certain classes of spline functions. Zbl 0498.41017
Sommer, Manfred; Strauss, Hans
3
1982
Continuous selections and convergence of best \(L_ p\)-approximations in subspaces of spline functions. Zbl 0529.41012
Sommer, Manfred
3
1983
\(L_1\)-Approximation by weak Chebyshev spaces. Zbl 0432.41018
Sommer, Manfred
3
1979
Existence of pointwise-Lipschitz-continuous selections of the metric projection for a class of Z-spaces. Zbl 0487.41043
Sommer, Manfred
2
1982
Finite dimensional subspaces and alternation. Zbl 0487.41044
Sommer, Manfred
2
1982
\(L_p\)-approximations and Chebyshev approximations in subspaces of spline functions. Zbl 0516.41012
Sommer, Manfred
2
1983
Segment approximation using linear functionals. Zbl 0813.65017
Sommer, Manfred
2
1992
Continuous selections for metric projections. Zbl 0472.41029
Sommer, M.
2
1980
On the Chebyshev rank of differentiable bivariate splines in \(L^1\)-approximation. Zbl 1084.41024
Sommer, Manfred
2
2005
Charakterisierung von Minimallösungen in normierten Vektorräumen durch Eigenschaften von Hyperebenen. Zbl 0304.41019
Sommer, Manfred
2
1975
Continuous selections in Chebyshev approximation. Zbl 0585.41032
Nürnberger, Günther; Sommer, Manfred
2
1985
On the Chebyshev rank of bivariate polynomials and splines in \(L^1\)-approximation. Zbl 1073.41008
Sommer, Manfred
2
2005
On \(A\)-spaces and their relation to the Hobby-Rice theorem. Zbl 0753.41033
Kroó, András; Schmidt, Darrell; Sommer, Manfred
2
1992
In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021
Alimov, Alexey; Berdysheva, Elena; Butzer, Paul; zu Castell, Wolfgang; Dahmen, Wolfgang; DeVore, Ron; Filbir, Frank; Jetter, Kurt; Mhaskar, Hrushikesh; Nevai, Paul; Sauer, Tomas; Schumaker, Larry; Sommer, Manfred; Strauss, Hans; Xu, Yuan
2
2015
Properties of unicity subspaces in \(L_ 1\)-approximation. Zbl 0643.41023
Sommer, Manfred
1
1988
Interpolation and almost interpolation by weak Chebyshev spaces. Zbl 0929.41006
Davydov, Oleg; Sommer, Manfred
1
1998
Descartes systems in Haar subspaces. Zbl 0719.41033
Sommer, Manfred; Strauss, Hans
1
1988
Some properties of \(A\)-spaces and their relationship to \(L^ 1\)- approximation. Zbl 0739.41026
Kroó, A.; Schmidt, D.; Sommer, M.
1
1991
The Chebyshev rank of multivariate polynomials in \(L^1\)-approximation. Zbl 1208.41018
Sommer, Manfred
1
2010
In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021
Alimov, Alexey; Berdysheva, Elena; Butzer, Paul; zu Castell, Wolfgang; Dahmen, Wolfgang; DeVore, Ron; Filbir, Frank; Jetter, Kurt; Mhaskar, Hrushikesh; Nevai, Paul; Sauer, Tomas; Schumaker, Larry; Sommer, Manfred; Strauss, Hans; Xu, Yuan
2
2015
The Chebyshev rank of multivariate polynomials in \(L^1\)-approximation. Zbl 1208.41018
Sommer, Manfred
1
2010
On the Chebyshev rank of differentiable bivariate splines in \(L^1\)-approximation. Zbl 1084.41024
Sommer, Manfred
2
2005
On the Chebyshev rank of bivariate polynomials and splines in \(L^1\)-approximation. Zbl 1073.41008
Sommer, Manfred
2
2005
Interpolation by bivariate linear splines. Zbl 0965.41004
Davydov, Oleg; Sommer, Manfred; Strauss, Hans
5
2000
On almost interpolation and locally linearly independent bases. Zbl 1084.41501
Davydov, O.; Sommer, M.; Strauss, H.
6
1999
Interpolation and almost interpolation by weak Chebyshev spaces. Zbl 0929.41006
Davydov, Oleg; Sommer, Manfred
1
1998
Locally linearly independent systems and almost interpolation. Zbl 0894.41002
Davydov, Oleg; Sommer, Manfred; Strauss, Hans
6
1997
On almost interpolation by multivariate splines. Zbl 0891.41004
Davydov, Oleg; Sommer, Manfred; Strauss, Hans
4
1997
A condition of Schoenberg-Whitney type for multivariate spline interpolation. Zbl 0856.41002
Sommer, Manfred; Strauss, Hans
5
1996
Interpolation by uni- and multivariate generalized splines. Zbl 0837.41010
Sommer, Manfred; Strauss, Hans
8
1995
Segment approximation using linear functionals. Zbl 0813.65017
Sommer, Manfred
2
1992
On \(A\)-spaces and their relation to the Hobby-Rice theorem. Zbl 0753.41033
Kroó, András; Schmidt, Darrell; Sommer, Manfred
2
1992
Some properties of \(A\)-spaces and their relationship to \(L^ 1\)- approximation. Zbl 0739.41026
Kroó, A.; Schmidt, D.; Sommer, M.
1
1991
Algorithms for piecewise polynomials and splines with free knots. Zbl 0668.41009
Meinardus, G.; Nürnberger, G.; Sommer, M.; Strauss, H.
15
1989
Uniform approximation by generalized splines with free knots. Zbl 0697.41005
Nürnberger, G.; Schumaker, L.; Sommer, M.; Strauss, H.
6
1989
A characterization of Descartes systems in Haar subspaces. Zbl 0687.46006
Sommer, Manfred; Strauss, Hans
4
1989
Weak Descartes systems in generalized spline spaces. Zbl 0647.41014
Sommer, Manfred; Strauss, Hans
4
1988
Properties of unicity subspaces in \(L_ 1\)-approximation. Zbl 0643.41023
Sommer, Manfred
1
1988
Descartes systems in Haar subspaces. Zbl 0719.41033
Sommer, Manfred; Strauss, Hans
1
1988
Examples of unicity subspaces in \(L_ 1\)-approximation. Zbl 0584.41012
Sommer, Manfred
5
1987
An algorithm for segment approximation. Zbl 0569.65012
Nürnberger, G.; Sommer, M.; Strauß, H.
10
1986
Approximation by generalized splines. Zbl 0646.41004
Nürnberger, G.; Schumaker, L. L.; Sommer, M.; Strauss, H.
10
1985
Continuous selections in Chebyshev approximation. Zbl 0585.41032
Nürnberger, Günther; Sommer, Manfred
2
1985
Generalized Chebyshevian splines. Zbl 0571.41007
Nürnberger, G.; Schumaker, L. L.; Sommer, M.; Strauss, H.
14
1984
A Remez type algorithm for spline functions. Zbl 0489.65011
Nürnberger, Günther; Sommer, Manfred
13
1983
Weak Chebyshev spaces and best \(L_1\)-approximation. Zbl 0514.41032
Sommer, Manfred
11
1983
Interpolation by generalized splines. Zbl 0528.41006
Nürnberger, Günther; Schumaker, L. L.; Sommer, Manfred; Strauss, H.
10
1983
Alternation for best spline approximations. Zbl 0489.65010
Nürnberger, Günther; Sommer, Manfred
7
1983
Some results on best \(L_ 1\)-approximation of continuous functions. Zbl 0534.41017
Sommer, Manfred
6
1983
Continuous selections and convergence of best \(L_ p\)-approximations in subspaces of spline functions. Zbl 0529.41012
Sommer, Manfred
3
1983
\(L_p\)-approximations and Chebyshev approximations in subspaces of spline functions. Zbl 0516.41012
Sommer, Manfred
2
1983
Characterization of continuous selections of the metric projection for a class of weak Chebyshev spaces. Zbl 0492.41040
Sommer, Manfred
6
1982
A characterization of pointwise-Lipschitz-continuous selections for the metric projection. Zbl 0488.41034
Blatt, Hans-Peter; Nürnberger, Günther; Sommer, Manfred
5
1982
Unicity of best one-sided \(L_ 1-\)approximations for certain classes of spline functions. Zbl 0498.41017
Sommer, Manfred; Strauss, Hans
3
1982
Existence of pointwise-Lipschitz-continuous selections of the metric projection for a class of Z-spaces. Zbl 0487.41043
Sommer, Manfred
2
1982
Finite dimensional subspaces and alternation. Zbl 0487.41044
Sommer, Manfred
2
1982
Characterization of continuous selections for the metric projection for generalized splines. Zbl 0424.41027
Sommer, Manfred
7
1980
Nonexistence of continuous selections of the metric projection for a class of weak Chebyshev spaces. Zbl 0371.41016
Sommer, Manfred
4
1980
Continuous selections for metric projections. Zbl 0472.41029
Sommer, M.
2
1980
Continuous selections of the metric projection for 1-Chebyshev spaces. Zbl 0408.41020
Sommer, Manfred
5
1979
\(L_1\)-Approximation by weak Chebyshev spaces. Zbl 0432.41018
Sommer, Manfred
3
1979
Characterization of continuous selections of the metric projection for spline functions. Zbl 0384.41008
Nürnberger, Günther; Sommer, Manfred
17
1978
Weak Chebyshev subspaces and continuous selections for the metric projection. Zbl 0389.41017
Nürnberger, Günther; Sommer, Manfred
12
1978
Eigenschaften von schwach tschebyscheffschen Räumen. Zbl 0374.41015
Sommer, Manfred; Strauss, Hans
22
1977
Charakterisierung von Minimallösungen in normierten Vektorräumen durch Eigenschaften von Hyperebenen. Zbl 0304.41019
Sommer, Manfred
2
1975
all top 5

Cited by 91 Authors

27 Sommer, Manfred
23 Nürnberger, Günther
16 Strauss, Hans
6 Kroó, András
6 Meinardus, Gunter
6 Schumaker, Larry L.
6 Sukhorukova, Nadezda
6 Ugon, Julien
5 Davydov, Oleg V.
5 Zwick, Daniel S.
4 Speleers, Hendrik
4 Wang, Renhong
3 Beccari, Carolina Vittoria
3 Blatter, Jörg
3 Casciola, Giulio
3 Deutsch, Frank
3 Manni, Carla
3 Peiris, Vinesha
3 Peña, Juan Manuel
3 Schmidt, Darrell
3 Zalik, Richard A.
2 Blatt, Hans-Peter
2 Brown, Aldric L.
2 Butzer, Paul Leo
2 Crouzeix, Jean-Pierre
2 Fischer, Thomas
2 Freyburger, Klaus
2 Hiemstra, René R.
2 Hughes, Thomas J. R.
2 Kitahara, Kazuaki
2 Pinkus, Allan M.
2 Stens, Rudolf L.
2 Toshniwal, Deepesh
2 Vakal, E. S.
2 Vakal, Lara P.
2 Wang, Shaofan
2 Zeilfelder, Frank
1 Alimov, Alexey R.
1 Beliakov, Gleb
1 Berens, Hubert Anton
1 Borisovich, Yuriĭ Grigor’evich
1 Brosowski, Bruno
1 Buchwald, B.
1 Bustamante González, Jorge
1 Carnicer, Jésus Miguel
1 Damas, Antonio
1 Díaz Millán, R.
1 Eck, Matthias
1 Fernández-Ochoa, J.
1 Fidalgo, Ulises
1 Filipsson, Lars
1 Gel’man, Boris Danielovich
1 Grosse, Eric H.
1 Hadenfeld, Jan
1 Hobby, John D.
1 Indumathi, V.
1 Jüttler, Bert
1 Kalenchuk-Porkhanova, A. A.
1 Kamal, Aref K.
1 Li, Wu
1 Luo, Yunhua
1 Mainar, Esmeralda
1 Malachivskyy, Petro S.
1 Marano, Miguel
1 Martínez-Moreno, Juan
1 Melnychok, L. S.
1 Mhaskar, Hrushikesh N.
1 Mühlbach, Günter W.
1 Myshkis, Anatoliĭ Dmitrievich
1 Obukhovskiĭ, Valeriĭ Vladimirovich
1 Oettli, Werner
1 Olson, Jacob
1 Pizyur, Ya. V.
1 Pottmann, Helmut
1 Quesada, José María
1 Raval, Krunal
1 Schnatz, Klaus Georg
1 Sharon, Nir
1 Stanley, Sonya S.
1 Stockenberg, Bernd
1 Tsar’kov, Igor’ Germanovich
1 Wajnryb, Bronislaw
1 Walz, Guido
1 Wang, Jingxin
1 Watson, G. Alistair
1 Wulbert, Daniel E.
1 Yang, Chengmin
1 Zamir, Z. Roshan
1 Zhu, Chungang
1 Zielke, Roland
1 Zore, Urška

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