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Lorentz, Rudolph Alexander

Author ID: lorentz.rudolph-alexander-henry Recent zbMATH articles by "Lorentz, Rudolph Alexander"
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.
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

Publications by Year

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 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

Citations by Year