Edit Profile (opens in new tab) Lorentz, Rudolph Alexander Co-Author Distance Author ID: lorentz.rudolph-alexander-henry Published as: Lorentz, R. A.; Lorentz, Rudolph; Lorentz, Rudolph A.; Lorentz, Rudolph Alexander; Lorentz, R. A. H.; Lorentz, Rudolph Alexander Henry; Lorentz, Rudolph A. H. more...less External Links: MGP Documents Indexed: 45 Publications since 1971, including 6 Books Co-Authors: 12 Co-Authors with 23 Joint Publications 235 Co-Co-Authors all top 5 Co-Authors 21 single-authored 6 Lorentz, Georg Gunther 5 Yan, Catherine Huafei 3 Madych, Wolodymyr R. 3 Rejto, P. A. 3 Sahakyan, Artur A. 2 Kamp, W. P. 2 Khare, Niraj 2 Oswald, Peter 2 Tringali, Salvatore 1 Joppich, Wolfgang 1 Narcowich, Francis J. 1 Ward, Joseph Dinneen all top 5 Serials 7 Journal of Approximation Theory 2 Applied and Computational Harmonic Analysis 2 Berichte der Gesellschaft für Mathematik und Datenverarbeitung, Bonn 1 Applicable Analysis 1 Discrete Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Acta Scientiarum Mathematicarum 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Transactions of the American Mathematical Society 1 Approximation Theory and its Applications 1 Constructive Approximation 1 COMPEL 1 The Journal of Fourier Analysis and Applications 1 Arbeitspapiere der GMD 1 Lecture Notes in Mathematics 1 Science China. Mathematics 1 Journal of Combinatorics all top 5 Fields 34 Approximations and expansions (41-XX) 9 Numerical analysis (65-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 5 Functional analysis (46-XX) 2 Combinatorics (05-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 206 times in 169 Documents Cited by ▼ Year ▼ Multivariate Birkhoff interpolation. Zbl 0760.41002 Lorentz, Rudolph A. 39 1992 Multivariate Hermite interpolation by algebraic polynomials: A survey. Zbl 0967.65008 Lorentz, R. A. 37 2000 Solvability problems of bivariate interpolation I. Zbl 0621.41002 Lorentz, G. G.; Lorentz, R. A. 17 1986 Uniqueness of best approximation by monotone polynomials. Zbl 0247.41006 Lorentz, R. A. 16 1971 Criteria for hierachical bases in Sobolev spaces. Zbl 0957.46026 Lorentz, Rudolph; Oswald, Peter 15 2000 Multivariate interpolation. Zbl 0566.41001 Lorentz, G. G.; Lorentz, R. A. 10 1984 Collocation discretizations of the transport equation with radial basis functions. Zbl 1037.65102 Lorentz, R. A.; Narcowich, F. J.; Ward, J. D. 10 2003 Translation and dilation invariant subspaces of \(L^2(\mathbb{R})\) and multiresolution analyses. Zbl 0926.42020 Lorentz, R. A.; Madych, W. R.; Sahakian, A. 9 1998 Orthogonal trigonometric Schauder bases of optimal degree for \(C(K)\). Zbl 0839.42013 Lorentz, R. A.; Sahakian, A. A. 7 1994 Nonuniqueness of simultaneous approximation by algebraic polynomials. Zbl 0292.41007 Lorentz, R. A. 6 1975 Bivariate Hermite interpolation and applications to algebraic geometry. Zbl 0721.41010 Lorentz, G. G.; Lorentz, R. A. 5 1990 Bivariate Gončarov polynomials and integer sequences. Zbl 1299.05012 Khare, Niraj; Lorentz, Rudolph; Yan, Catherine Huafei 5 2014 Generalized Gončarov polynomials. Zbl 1400.41002 Lorentz, Rudolph; Tringali, Salvatore; Yan, Catherine H. 5 2018 Solvability of bivariate interpolation. II: Applications. Zbl 0676.41004 Lorentz, G. G.; Lorentz, R. A. 3 1987 Uniform bivariate Hermite interpolation I: Coordinate degree. Zbl 0663.41001 Lorentz, Rudolph Alexander 2 1990 On the closure of the union of nested subspaces of \(L^2(\mathbb{R}^d)\). Zbl 0936.42025 Lorentz, R. A.; Madych, W. R. 2 1998 Simultaneous approximation and Birkhoff interpolation. II: the periodic case. Zbl 0598.41021 Lorentz, R. A. 2 1985 Convergence of numerical differentiation. Zbl 0447.41005 Lorentz, R. A. 2 1980 Multivariate delta Gončarov and Abel polynomials. Zbl 1350.41009 Lorentz, Rudolph; Tringali, Salvatore; Yan, Catherine H. 2 2017 On a theorem of Stinespring concerning integral operators of trace class. Zbl 0659.45013 Kamp, W. P.; Lorentz, R. A.; Rejto, P. A. 1 1989 Interpolation and probability. Zbl 0479.41003 Lorentz, Rudolph A. 1 1980 Simultaneous approximation, interpolation and Birkhoff systems. Zbl 0538.41030 Lorentz, R. A. 1 1983 Probability and interpolation. Zbl 0545.41009 Lorentz, G. G.; Lorentz, R. A. 1 1981 Nonexistence of compactly supported box spline prewavelets in Sobolev spaces. Zbl 0936.42024 Lorentz, R. A.; Oswald, P. 1 1997 Positive Approximation. Zbl 0264.41010 Lorentz, Rudolph A. 1 1971 Some integral operators of trace class (with an Appendix due to Joachim Weidmann). Zbl 0292.47047 Lorentz, R. A. H.; Rejtö, P. A. 1 1974 On the determinant of a bivariate Birkhoff interpolation problem. Zbl 0617.41004 Lorentz, R. A. 1 1987 Wavelets and generalized box splines. Zbl 0725.41009 Lorentz, R. A. H.; Madych, W. R. 1 1992 Multivariate Birkhoff interpolation. Zbl 0742.41004 Lorentz, Rudolph Alexander Henry 1 1991 Moments of matching statistics. Zbl 1352.05024 Khare, Niraj; Lorentz, Rudolph; Yan, Catherine H. 1 2017 Bivariate affine Gončarov polynomials. Zbl 1343.65011 Lorentz, Rudolph; Yan, Catherine H. 1 2016 Generalized Gončarov polynomials. Zbl 1400.41002 Lorentz, Rudolph; Tringali, Salvatore; Yan, Catherine H. 5 2018 Multivariate delta Gončarov and Abel polynomials. Zbl 1350.41009 Lorentz, Rudolph; Tringali, Salvatore; Yan, Catherine H. 2 2017 Moments of matching statistics. Zbl 1352.05024 Khare, Niraj; Lorentz, Rudolph; Yan, Catherine H. 1 2017 Bivariate affine Gončarov polynomials. Zbl 1343.65011 Lorentz, Rudolph; Yan, Catherine H. 1 2016 Bivariate Gončarov polynomials and integer sequences. Zbl 1299.05012 Khare, Niraj; Lorentz, Rudolph; Yan, Catherine Huafei 5 2014 Collocation discretizations of the transport equation with radial basis functions. Zbl 1037.65102 Lorentz, R. A.; Narcowich, F. J.; Ward, J. D. 10 2003 Multivariate Hermite interpolation by algebraic polynomials: A survey. Zbl 0967.65008 Lorentz, R. A. 37 2000 Criteria for hierachical bases in Sobolev spaces. Zbl 0957.46026 Lorentz, Rudolph; Oswald, Peter 15 2000 Translation and dilation invariant subspaces of \(L^2(\mathbb{R})\) and multiresolution analyses. Zbl 0926.42020 Lorentz, R. A.; Madych, W. R.; Sahakian, A. 9 1998 On the closure of the union of nested subspaces of \(L^2(\mathbb{R}^d)\). Zbl 0936.42025 Lorentz, R. A.; Madych, W. R. 2 1998 Nonexistence of compactly supported box spline prewavelets in Sobolev spaces. Zbl 0936.42024 Lorentz, R. A.; Oswald, P. 1 1997 Orthogonal trigonometric Schauder bases of optimal degree for \(C(K)\). Zbl 0839.42013 Lorentz, R. A.; Sahakian, A. A. 7 1994 Multivariate Birkhoff interpolation. Zbl 0760.41002 Lorentz, Rudolph A. 39 1992 Wavelets and generalized box splines. Zbl 0725.41009 Lorentz, R. A. H.; Madych, W. R. 1 1992 Multivariate Birkhoff interpolation. Zbl 0742.41004 Lorentz, Rudolph Alexander Henry 1 1991 Bivariate Hermite interpolation and applications to algebraic geometry. Zbl 0721.41010 Lorentz, G. G.; Lorentz, R. A. 5 1990 Uniform bivariate Hermite interpolation I: Coordinate degree. Zbl 0663.41001 Lorentz, Rudolph Alexander 2 1990 On a theorem of Stinespring concerning integral operators of trace class. Zbl 0659.45013 Kamp, W. P.; Lorentz, R. A.; Rejto, P. A. 1 1989 Solvability of bivariate interpolation. II: Applications. Zbl 0676.41004 Lorentz, G. G.; Lorentz, R. A. 3 1987 On the determinant of a bivariate Birkhoff interpolation problem. Zbl 0617.41004 Lorentz, R. A. 1 1987 Solvability problems of bivariate interpolation I. Zbl 0621.41002 Lorentz, G. G.; Lorentz, R. A. 17 1986 Simultaneous approximation and Birkhoff interpolation. II: the periodic case. Zbl 0598.41021 Lorentz, R. A. 2 1985 Multivariate interpolation. Zbl 0566.41001 Lorentz, G. G.; Lorentz, R. A. 10 1984 Simultaneous approximation, interpolation and Birkhoff systems. Zbl 0538.41030 Lorentz, R. A. 1 1983 Probability and interpolation. Zbl 0545.41009 Lorentz, G. G.; Lorentz, R. A. 1 1981 Convergence of numerical differentiation. Zbl 0447.41005 Lorentz, R. A. 2 1980 Interpolation and probability. Zbl 0479.41003 Lorentz, Rudolph A. 1 1980 Nonuniqueness of simultaneous approximation by algebraic polynomials. Zbl 0292.41007 Lorentz, R. A. 6 1975 Some integral operators of trace class (with an Appendix due to Joachim Weidmann). Zbl 0292.47047 Lorentz, R. A. H.; Rejtö, P. A. 1 1974 Uniqueness of best approximation by monotone polynomials. Zbl 0247.41006 Lorentz, R. A. 16 1971 Positive Approximation. Zbl 0264.41010 Lorentz, Rudolph A. 1 1971 all cited Publications top 5 cited Publications all top 5 Cited by 240 Authors 14 Lorentz, Rudolph Alexander 7 Yan, Catherine Huafei 5 Lei, Na 4 Calvi, Jean-Paul 4 Cohen, Albert 4 Han, Bin 3 Ali, Arshed 3 Chai, Junjie 3 de Boor, Carl 3 Dyn, Nira 3 Gasca, Mariano 3 Gu, Qing 3 Han, Deguang 3 Haq, Sirajul 3 Jia, Rong-Qing 3 Li, Song 3 Lorentz, Georg Gunther 3 Migliorati, Giovanni 3 Oswald, Peter 3 Prestin, Jurgen 3 Ron, Amos 3 Sauer, Tomas 3 Siraj-ul-Islam 3 Xu, Yuan 3 Yang, Jianbin 3 Zhang, Shugong 2 Adeniran, Ayomikun 2 Chalmers, Bruce Longworthy 2 Chen, Jiun-Shyan 2 Chkifa, Abdellah 2 Dong, Tian 2 Floater, Michael S. 2 Goldman, Ronald N. 2 Hakopian, Hakop A. 2 Hu, Hsin-Yun 2 Khare, Niraj 2 Kimchi, Esther 2 Lai, Mingjun 2 Li, Ying 2 Luo, Hanzhong 2 Luo, Zhongxuan 2 Martínez, José-Javier 2 Meng, Zhaoliang 2 Mhaskar, Hrushikesh N. 2 Nobile, Fabio 2 Pence, Dennis D. 2 Peyré, Gabriel 2 Phung Van Manh 2 Poon, Clarice 2 Quak, Ewald G. 2 Roulier, John A. 2 Sahakyan, Artur A. 2 San Antolín, Angel 2 Shen, Zuowei 2 Snider, Lauren L. 2 Viswanathan, Puthan Veedu 2 Wang, Xiaoying 2 Xia, Peng 2 Ying, Wenjun 2 Yomdin, Yosef 1 Adcock, Ben 1 Allasia, Giampietro 1 Almasieh, Homa 1 Altas, Irfan 1 Alwardi, H. 1 Askari-Hemmat, Ataollah 1 Bakan, Andrew G. 1 Bao, Anyi 1 Bazan, Erick Rodriguez 1 Bellet, Jean-Baptiste 1 Bertrand, François 1 Blakely, Christopher D. 1 Blinkov, Yuri A. 1 Bloom, Thomas 1 Bos, Len P. 1 Boussaada, Islam 1 Bracco, Cesare 1 Brachet, Matthieu 1 Brudnyi, Alexander 1 Brugiapaglia, Simone 1 Bultheel, Adhemar François 1 Cai, Yue 1 Censor, Yair 1 Cerlienco, Luigi 1 Chandrasekaran, Shivkumar 1 Chatrabgoun, Omid 1 Cheraghi, Masoumeh 1 Chi, Sheng-Wei 1 Chui, Charles Kam-tai 1 Chuluunbaatar, Galmandakh 1 Chuluunbaatar, Ochbadrakh 1 Cimprič, Jaka 1 Costabile, Francesco Aldo 1 Croisille, Jean-Pierre 1 Cui, Kai 1 Cuong, Le Ngoc 1 Dağ, İdris 1 Datt Kumar, Shiv 1 Dehghan, Mohammad Ali 1 Dell’Accio, Francesco ...and 140 more Authors all top 5 Cited in 65 Serials 33 Journal of Approximation Theory 13 Journal of Computational and Applied Mathematics 7 Constructive Approximation 6 Mathematics of Computation 6 Numerical Algorithms 5 Journal of Computational Physics 5 Transactions of the American Mathematical Society 5 Applied and Computational Harmonic Analysis 3 Journal of Mathematical Analysis and Applications 3 Mathematical Notes 3 Applied Mathematics and Computation 3 Integral Equations and Operator Theory 3 Numerische Mathematik 3 Advances in Applied Mathematics 3 Journal of Symbolic Computation 2 Computing 2 Journal of Functional Analysis 2 Mathematische Zeitschrift 2 Acta Applicandae Mathematicae 2 Numerical Methods for Partial Differential Equations 2 Journal of Global Optimization 2 Applied Mathematical Modelling 2 Advances in Computational Mathematics 2 The Journal of Fourier Analysis and Applications 2 Foundations of Computational Mathematics 2 Journal of Systems Science and Complexity 2 Mediterranean Journal of Mathematics 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Annales Polonici Mathematici 1 Calcolo 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series A 1 Journal of Multivariate Analysis 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Studies in Applied Mathematics 1 Applied Numerical Mathematics 1 Computational Mechanics 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 International Journal of Mathematics 1 SIAM Journal on Mathematical Analysis 1 Applied Mathematics. Series B (English Edition) 1 Engineering Analysis with Boundary Elements 1 Bernoulli 1 Far East Journal of Applied Mathematics 1 Discrete Dynamics in Nature and Society 1 Acta Mathematica Sinica. English Series 1 Integers 1 Journal of the Australian Mathematical Society 1 Central European Journal of Mathematics 1 International Journal of Computational Methods 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Shanghai Jiaotong University (Science) 1 Mathematics in Computer Science 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 Science China. Mathematics 1 International Journal for Numerical Methods in Biomedical Engineering 1 Bulletin of Mathematical Sciences 1 Dependence Modeling 1 Cogent Mathematics 1 Applied Mathematics and Nonlinear Sciences all top 5 Cited in 35 Fields 102 Approximations and expansions (41-XX) 74 Numerical analysis (65-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 14 Functional analysis (46-XX) 9 Partial differential equations (35-XX) 8 Combinatorics (05-XX) 8 Commutative algebra (13-XX) 8 Operator theory (47-XX) 7 Computer science (68-XX) 4 Mechanics of deformable solids (74-XX) 4 Systems theory; control (93-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Difference and functional equations (39-XX) 3 Information and communication theory, circuits (94-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year