Edit Profile (opens in new tab) Sommer, Manfred Co-Author Distance Author ID: sommer.manfred Published as: Sommer, Manfred; Sommer, M. External Links: MGP Documents Indexed: 70 Publications since 1975, including 4 Books 2 Contributions as Editor Co-Authors: 22 Co-Authors with 36 Joint Publications 728 Co-Co-Authors all top 5 Co-Authors 33 single-authored 23 Strauss, Hans 13 Nürnberger, Günther 6 Davydov, Oleg V. 5 Schumaker, Larry L. 3 Blatt, Hans-Peter 3 Kroó, András 2 Schmidt, Darrell 1 Alimov, Alexey R. 1 Berdysheva, Elena E. 1 Biedl, A. 1 Butzer, Paul Leo 1 Daessler, Klaus 1 Dahmen, Wolfgang A. 1 Däßler, K. 1 DeVore, Ronald A. 1 Filbir, Frank-Dieter 1 Grothmann, René 1 Jetter, Kurt 1 Klöckner, Konrad 1 Lelevkina, Liliya G. 1 Meinardus, Gunter 1 Mhaskar, Hrushikesh N. 1 Nevai, Paul G. 1 Remmele, Werner 1 Sauer, Tomas 1 Xu, Yuan 1 zu Castell, Wolfgang all top 5 Serials 18 Journal of Approximation Theory 6 Numerical Functional Analysis and Optimization 4 Numerische Mathematik 4 Constructive Approximation 3 SIAM Journal on Mathematical Analysis 2 Transactions of the American Mathematical Society 2 International Journal of Pure and Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Journal of Computational and Applied Mathematics 1 Proceedings of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Approximation Theory and its Applications 1 Advances in Computational Mathematics 1 East Journal on Approximations 1 International Mathematical Forum 1 Applied Mathematical Sciences (Ruse) 1 Berichte aus der Mathematik all top 5 Fields 63 Approximations and expansions (41-XX) 10 Numerical analysis (65-XX) 5 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Functional analysis (46-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 33 Serials 47 Journal of Approximation Theory 11 Numerical Functional Analysis and Optimization 9 Journal of Computational and Applied Mathematics 8 Constructive Approximation 6 Computer Aided Geometric Design 5 Numerische Mathematik 3 Mathematics of Computation 3 Applied Mathematics and Computation 3 Cybernetics and Systems Analysis 2 Computers & Mathematics with Applications 2 Journal of Mathematical Analysis and Applications 2 Computing 2 Journal of Optimization Theory and Applications 2 Transactions of the American Mathematical Society 2 Optimization 2 Advances in Computational Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 ACM Transactions on Mathematical Software 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 Journal of Soviet Mathematics 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Acta Mathematica Hungarica 1 Applied Numerical Mathematics 1 Journal of Mathematical Sciences (New York) 1 Acta Mathematica Sinica. English Series 1 Set-Valued and Variational Analysis 1 International Journal for Numerical Methods in Biomedical Engineering 1 Sampling Theory, Signal Processing, and Data Analysis all top 5 Cited in 14 Fields 114 Approximations and expansions (41-XX) 35 Numerical analysis (65-XX) 9 Operations research, mathematical programming (90-XX) 7 Functional analysis (46-XX) 4 Computer science (68-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 1 Algebraic geometry (14-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year