DiPasquale, Michael; Villamizar, Nelly A lower bound for the dimension of tetrahedral splines in large degree. (English) Zbl 07813118 Constr. Approx. 59, No. 1, 1-30 (2024). MSC: 14Qxx 41A15 13D02 PDFBibTeX XMLCite \textit{M. DiPasquale} and \textit{N. Villamizar}, Constr. Approx. 59, No. 1, 1--30 (2024; Zbl 07813118) Full Text: DOI arXiv OA License
Ali, Mazen; Nouy, Anthony Approximation theory of tree tensor networks: tensorized univariate functions. (English) Zbl 07751277 Constr. Approx. 58, No. 2, 463-544 (2023). MSC: 41A65 41A15 41A10 68T05 42C40 65D99 PDFBibTeX XMLCite \textit{M. Ali} and \textit{A. Nouy}, Constr. Approx. 58, No. 2, 463--544 (2023; Zbl 07751277) Full Text: DOI arXiv
Han, Bin Multivariate generalized Hermite subdivision schemes. (English) Zbl 1528.41003 Constr. Approx. 58, No. 2, 407-462 (2023). MSC: 41A05 41A15 65D17 65D15 42C40 PDFBibTeX XMLCite \textit{B. Han}, Constr. Approx. 58, No. 2, 407--462 (2023; Zbl 1528.41003) Full Text: DOI arXiv
Dick, Josef; Ehler, Martin; Gräf, Manuel; Krattenthaler, Christian Spectral decomposition of discrepancy kernels on the Euclidean ball, the special orthogonal group, and the Grassmannian manifold. (English) Zbl 07698576 Constr. Approx. 57, No. 3, 983-1026 (2023). MSC: 65T40 65T50 42C10 42B10 43A65 43A85 60B10 PDFBibTeX XMLCite \textit{J. Dick} et al., Constr. Approx. 57, No. 3, 983--1026 (2023; Zbl 07698576) Full Text: DOI arXiv
Borthagaray, Juan Pablo; Nochetto, Ricardo H. Constructive approximation on graded meshes for the integral fractional Laplacian. (English) Zbl 07680067 Constr. Approx. 57, No. 2, 463-487 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. P. Borthagaray} and \textit{R. H. Nochetto}, Constr. Approx. 57, No. 2, 463--487 (2023; Zbl 07680067) Full Text: DOI arXiv
Binev, Peter; Fierro, Francesca; Veeser, Andreas Near-best adaptive approximation on conforming meshes. (English) Zbl 1528.41020 Constr. Approx. 57, No. 2, 327-349 (2023). MSC: 41A15 41A63 65D15 65M50 65M60 68Q32 68W25 PDFBibTeX XMLCite \textit{P. Binev} et al., Constr. Approx. 57, No. 2, 327--349 (2023; Zbl 1528.41020) Full Text: DOI arXiv
Barrenechea, Gabriel R.; Süli, Endre Analysis of a stabilised finite element method for power-law fluids. (English) Zbl 1512.65257 Constr. Approx. 57, No. 2, 295-325 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 76A05 76E30 76M10 35D30 PDFBibTeX XMLCite \textit{G. R. Barrenechea} and \textit{E. Süli}, Constr. Approx. 57, No. 2, 295--325 (2023; Zbl 1512.65257) Full Text: DOI arXiv
Wenzel, Tizian; Santin, Gabriele; Haasdonk, Bernard Analysis of target data-dependent greedy kernel algorithms: convergence rates for \(f\)-, \(f \cdot P\)- and \(f/P\)-greedy. (English) Zbl 07678815 Constr. Approx. 57, No. 1, 45-74 (2023). MSC: 65D15 65D05 41A58 46E22 PDFBibTeX XMLCite \textit{T. Wenzel} et al., Constr. Approx. 57, No. 1, 45--74 (2023; Zbl 07678815) Full Text: DOI arXiv
Zech, Jakob; Marzouk, Youssef Sparse approximation of triangular transports. I: The finite-dimensional case. (English) Zbl 1507.49040 Constr. Approx. 55, No. 3, 919-986 (2022). MSC: 49Q22 49N45 41A10 41A25 41A46 62D05 32D05 65D15 49K45 PDFBibTeX XMLCite \textit{J. Zech} and \textit{Y. Marzouk}, Constr. Approx. 55, No. 3, 919--986 (2022; Zbl 1507.49040) Full Text: DOI arXiv
Castillo, Kenier Markov’s theorem for weight functions on the unit circle. (English) Zbl 1486.30012 Constr. Approx. 55, No. 2, 605-627 (2022). MSC: 30C10 30C15 PDFBibTeX XMLCite \textit{K. Castillo}, Constr. Approx. 55, No. 2, 605--627 (2022; Zbl 1486.30012) Full Text: DOI arXiv
Opschoor, J. A. A.; Schwab, Ch.; Zech, J. Exponential ReLU DNN expression of holomorphic maps in high dimension. (English) Zbl 1500.41008 Constr. Approx. 55, No. 1, 537-582 (2022). MSC: 41A46 41A63 68T07 PDFBibTeX XMLCite \textit{J. A. A. Opschoor} et al., Constr. Approx. 55, No. 1, 537--582 (2022; Zbl 1500.41008) Full Text: DOI
Kutyniok, Gitta; Petersen, Philipp; Raslan, Mones; Schneider, Reinhold A theoretical analysis of deep neural networks and parametric PDEs. (English) Zbl 07493717 Constr. Approx. 55, No. 1, 73-125 (2022). MSC: 65-XX 35A35 35J99 41A25 41A46 68T05 65N30 PDFBibTeX XMLCite \textit{G. Kutyniok} et al., Constr. Approx. 55, No. 1, 73--125 (2022; Zbl 07493717) Full Text: DOI arXiv
Kämmerer, Lutz; Ullrich, Tino; Volkmer, Toni Worst-case recovery guarantees for least squares approximation using random samples. (English) Zbl 1484.41004 Constr. Approx. 54, No. 2, 295-352 (2021). Reviewer: Alexander Ulanovskii (Stavanger) MSC: 41A10 41A25 41A55 41A60 41A63 42A10 62J02 65D32 68W40 94A20 PDFBibTeX XMLCite \textit{L. Kämmerer} et al., Constr. Approx. 54, No. 2, 295--352 (2021; Zbl 1484.41004) Full Text: DOI arXiv
Gawlik, Evan S. Rational minimax iterations for computing the matrix \(p\)th root. (English) Zbl 1510.65079 Constr. Approx. 54, No. 1, 1-34 (2021). MSC: 65F45 65F60 41A20 49K35 PDFBibTeX XMLCite \textit{E. S. Gawlik}, Constr. Approx. 54, No. 1, 1--34 (2021; Zbl 1510.65079) Full Text: DOI arXiv
Bonito, Andrea; DeVore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana Polynomial approximation of anisotropic analytic functions of several variables. (English) Zbl 1462.41003 Constr. Approx. 53, No. 2, 319-348 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A10 41A58 41A63 65N15 PDFBibTeX XMLCite \textit{A. Bonito} et al., Constr. Approx. 53, No. 2, 319--348 (2021; Zbl 1462.41003) Full Text: DOI arXiv
Erb, Wolfgang Rhodonea curves as sampling trajectories for spectral interpolation on the unit disk. (English) Zbl 1462.41002 Constr. Approx. 53, No. 2, 281-318 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 42A16 65D05 65T50 PDFBibTeX XMLCite \textit{W. Erb}, Constr. Approx. 53, No. 2, 281--318 (2021; Zbl 1462.41002) Full Text: DOI arXiv
Stepanyuk, Tetiana A. Hyperuniform point sets on flat tori: deterministic and probabilistic aspects. (English) Zbl 1458.11121 Constr. Approx. 52, No. 2, 313-339 (2020). MSC: 11K38 33C10 65D30 PDFBibTeX XMLCite \textit{T. A. Stepanyuk}, Constr. Approx. 52, No. 2, 313--339 (2020; Zbl 1458.11121) Full Text: DOI arXiv
Maier, L.-B. Ambient approximation on embedded submanifolds. (English) Zbl 1454.41002 Constr. Approx. 52, No. 2, 183-211 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A63 65D07 PDFBibTeX XMLCite \textit{L. B. Maier}, Constr. Approx. 52, No. 2, 183--211 (2020; Zbl 1454.41002) Full Text: DOI
Lu, Jianfeng; Sachs, Matthias; Steinerberger, Stefan Quadrature points via heat kernel repulsion. (English) Zbl 1447.41013 Constr. Approx. 51, No. 1, 27-48 (2020). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A55 35K08 65D32 PDFBibTeX XMLCite \textit{J. Lu} et al., Constr. Approx. 51, No. 1, 27--48 (2020; Zbl 1447.41013) Full Text: DOI arXiv
Conti, Costanza; Donatelli, Marco; Romani, Lucia; Novara, Paola Convergence and normal continuity analysis of nonstationary subdivision schemes near extraordinary vertices and faces. (English) Zbl 1428.26006 Constr. Approx. 50, No. 3, 457-496 (2019). MSC: 26A15 65D17 65D18 PDFBibTeX XMLCite \textit{C. Conti} et al., Constr. Approx. 50, No. 3, 457--496 (2019; Zbl 1428.26006) Full Text: DOI arXiv
Adcock, Ben; Sui, Yi Compressive Hermite interpolation: sparse, high-dimensional approximation from gradient-augmented measurements. (English) Zbl 1431.41008 Constr. Approx. 50, No. 1, 167-207 (2019). Reviewer: Aurelian Bejancu (Safat) MSC: 41A25 41A05 41A10 65N15 PDFBibTeX XMLCite \textit{B. Adcock} and \textit{Y. Sui}, Constr. Approx. 50, No. 1, 167--207 (2019; Zbl 1431.41008) Full Text: DOI arXiv
DeVore, Ronald; Foucart, Simon; Petrova, Guergana; Wojtaszczyk, Przemyslaw Computing a quantity of interest from observational data. (English) Zbl 1414.41019 Constr. Approx. 49, No. 3, 461-508 (2019). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 41A65 41A46 46N40 65D32 PDFBibTeX XMLCite \textit{R. DeVore} et al., Constr. Approx. 49, No. 3, 461--508 (2019; Zbl 1414.41019) Full Text: DOI
Vargas, Antonio R. The Saff-Varga width conjecture and entire functions with simple exponential growth. (English) Zbl 1412.30006 Constr. Approx. 49, No. 2, 307-383 (2019). MSC: 30B10 30D15 PDFBibTeX XMLCite \textit{A. R. Vargas}, Constr. Approx. 49, No. 2, 307--383 (2019; Zbl 1412.30006) Full Text: DOI
Jenkins, Robert; McLaughlin, Ken D. T.-R. Behavior of the roots of the Taylor polynomials of Riemann’s \(\xi\) function with growing degree. (English) Zbl 1412.30122 Constr. Approx. 49, No. 2, 265-293 (2019). MSC: 30E10 11M26 PDFBibTeX XMLCite \textit{R. Jenkins} and \textit{K. D. T. R. McLaughlin}, Constr. Approx. 49, No. 2, 265--293 (2019; Zbl 1412.30122) Full Text: DOI arXiv
Lubinsky, D. S. On uniform convergence of diagonal multipoint Padé approximants for entire functions. (English) Zbl 1407.41008 Constr. Approx. 49, No. 1, 149-174 (2019). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 41A21 41A20 30E10 PDFBibTeX XMLCite \textit{D. S. Lubinsky}, Constr. Approx. 49, No. 1, 149--174 (2019; Zbl 1407.41008) Full Text: DOI
Griebel, Michael; Oswald, Peter Stochastic subspace correction in Hilbert space. (English) Zbl 1416.65084 Constr. Approx. 48, No. 3, 501-521 (2018). MSC: 65F10 65N22 49M27 PDFBibTeX XMLCite \textit{M. Griebel} and \textit{P. Oswald}, Constr. Approx. 48, No. 3, 501--521 (2018; Zbl 1416.65084) Full Text: DOI arXiv
Carnicer, Jesús; Sauer, Tomas Observations on interpolation by total degree polynomials in two variables. (English) Zbl 1396.41003 Constr. Approx. 47, No. 3, 373-389 (2018). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A05 13P10 PDFBibTeX XMLCite \textit{J. Carnicer} and \textit{T. Sauer}, Constr. Approx. 47, No. 3, 373--389 (2018; Zbl 1396.41003) Full Text: DOI arXiv Link
Nguyen, Van Kien; Ullrich, Mario; Ullrich, Tino Change of variable in spaces of mixed smoothness and numerical integration of multivariate functions on the unit cube. (English) Zbl 1376.65028 Constr. Approx. 46, No. 1, 69-108 (2017). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 41A55 41A63 46E35 47B38 PDFBibTeX XMLCite \textit{V. K. Nguyen} et al., Constr. Approx. 46, No. 1, 69--108 (2017; Zbl 1376.65028) Full Text: DOI arXiv
Cohen, Albert; Migliorati, Giovanni; Nobile, Fabio Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension. (English) Zbl 1371.41004 Constr. Approx. 45, No. 3, 497-519 (2017). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A10 41A25 41A50 41A63 65M70 PDFBibTeX XMLCite \textit{A. Cohen} et al., Constr. Approx. 45, No. 3, 497--519 (2017; Zbl 1371.41004) Full Text: DOI arXiv
Griebel, Michael; Oswald, Peter Schwarz iterative methods: infinite space splittings. (English) Zbl 1356.65145 Constr. Approx. 44, No. 1, 121-139 (2016). Reviewer: Frank Uhlig (Auburn) MSC: 65J15 47J20 47J25 PDFBibTeX XMLCite \textit{M. Griebel} and \textit{P. Oswald}, Constr. Approx. 44, No. 1, 121--139 (2016; Zbl 1356.65145) Full Text: DOI arXiv
Ait-Haddou, Rachid; Mazure, Marie-Laurence Approximation by Chebyshevian Bernstein operators versus convergence of dimension elevation. (English) Zbl 1350.41023 Constr. Approx. 43, No. 3, 425-461 (2016). Reviewer: Lucian Coroianu (Oradea) MSC: 41A30 41A36 65D17 PDFBibTeX XMLCite \textit{R. Ait-Haddou} and \textit{M.-L. Mazure}, Constr. Approx. 43, No. 3, 425--461 (2016; Zbl 1350.41023) Full Text: DOI
Chen, Xuemei; Powell, Alexander M. Randomized subspace actions and fusion frames. (English) Zbl 1332.42023 Constr. Approx. 43, No. 1, 103-134 (2016). MSC: 42C15 60J45 65F10 PDFBibTeX XMLCite \textit{X. Chen} and \textit{A. M. Powell}, Constr. Approx. 43, No. 1, 103--134 (2016; Zbl 1332.42023) Full Text: DOI
Trogdon, Thomas Rational approximation, oscillatory Cauchy integrals, and Fourier transforms. (English) Zbl 1337.30052 Constr. Approx. 43, No. 1, 71-101 (2016). Reviewer: Vladimir V. Peller (East Lansing) MSC: 30E10 41A20 65T40 PDFBibTeX XMLCite \textit{T. Trogdon}, Constr. Approx. 43, No. 1, 71--101 (2016; Zbl 1337.30052) Full Text: DOI arXiv
Tantardini, Francesca; Veeser, Andreas; Verfürth, Rüdiger Robust localization of the best error with finite elements in the reaction-diffusion norm. (English) Zbl 1326.41017 Constr. Approx. 42, No. 2, 313-347 (2015). Reviewer: H. P. Dikshit (Bhopal) MSC: 41A15 65N15 65N30 PDFBibTeX XMLCite \textit{F. Tantardini} et al., Constr. Approx. 42, No. 2, 313--347 (2015; Zbl 1326.41017) Full Text: DOI arXiv
Ainsworth, Mark; Andriamaro, Gaelle; Davydov, Oleg A Bernstein-Bézier basis for arbitrary order Raviart-Thomas finite elements. (English) Zbl 1315.65096 Constr. Approx. 41, No. 1, 1-22 (2015). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 65N25 35Q61 PDFBibTeX XMLCite \textit{M. Ainsworth} et al., Constr. Approx. 41, No. 1, 1--22 (2015; Zbl 1315.65096) Full Text: DOI
Cancès, Eric; Ehrlacher, Virginie; Lelièvre, Tony Greedy algorithms for high-dimensional eigenvalue problems. (English) Zbl 1310.47025 Constr. Approx. 40, No. 3, 387-423 (2014). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 47A75 35P15 35Q40 35Q74 65J10 65N25 65N22 PDFBibTeX XMLCite \textit{E. Cancès} et al., Constr. Approx. 40, No. 3, 387--423 (2014; Zbl 1310.47025) Full Text: DOI arXiv
Lerman, Gilad; Zhang, Teng \(l_p\)-recovery of the most significant subspace among multiple subspaces with outliers. (English) Zbl 1318.62161 Constr. Approx. 40, No. 3, 329-385 (2014). MSC: 62G35 60D05 62-07 68T10 68Q32 PDFBibTeX XMLCite \textit{G. Lerman} and \textit{T. Zhang}, Constr. Approx. 40, No. 3, 329--385 (2014; Zbl 1318.62161) Full Text: DOI arXiv
Dai, Dan; Ismail, Mourad E. H.; Wang, Xiang-Sheng Plancherel-Rotach asymptotic expansion for some polynomials from indeterminate moment problems. (English) Zbl 1315.41014 Constr. Approx. 40, No. 1, 61-104 (2014). Reviewer: José L. Lopez (Pamplona) MSC: 41A60 33C47 30E05 PDFBibTeX XMLCite \textit{D. Dai} et al., Constr. Approx. 40, No. 1, 61--104 (2014; Zbl 1315.41014) Full Text: DOI arXiv
Lee, Yeon Ju; Micchelli, Charles A.; Yoon, Jungho On convergence of flat multivariate interpolation by translation kernels with finite smoothness. (English) Zbl 1308.41001 Constr. Approx. 40, No. 1, 37-60 (2014). Reviewer: Antonio López-Carmona (Granada) MSC: 41A05 41A15 41A63 PDFBibTeX XMLCite \textit{Y. J. Lee} et al., Constr. Approx. 40, No. 1, 37--60 (2014; Zbl 1308.41001) Full Text: DOI
Carnicer, J. M.; Mainar, E.; Peña, J. M. On the critical lengths of cycloidal spaces. (English) Zbl 1315.41001 Constr. Approx. 39, No. 3, 573-583 (2014). Reviewer: Radu Păltănea (Braşov) MSC: 41A10 41A50 41A05 42A10 41A30 65D17 PDFBibTeX XMLCite \textit{J. M. Carnicer} et al., Constr. Approx. 39, No. 3, 573--583 (2014; Zbl 1315.41001) Full Text: DOI
Bachmayr, Markus; Dahmen, Wolfgang; DeVore, Ronald; Grasedyck, Lars Approximation of high-dimensional rank one tensors. (English) Zbl 1308.41015 Constr. Approx. 39, No. 2, 385-395 (2014). Reviewer: Vijay Gupta (New Delhi) MSC: 41A25 41A63 65D15 PDFBibTeX XMLCite \textit{M. Bachmayr} et al., Constr. Approx. 39, No. 2, 385--395 (2014; Zbl 1308.41015) Full Text: DOI
Rieger, Christian; Zwicknagl, Barbara Improved exponential convergence rates by oversampling near the boundary. (English) Zbl 1308.41002 Constr. Approx. 39, No. 2, 323-341 (2014). Reviewer: Antonio López-Carmona (Granada) MSC: 41A05 65D05 PDFBibTeX XMLCite \textit{C. Rieger} and \textit{B. Zwicknagl}, Constr. Approx. 39, No. 2, 323--341 (2014; Zbl 1308.41002) Full Text: DOI
Olver, Sheehan; Trogdon, Thomas Numerical solution of Riemann-Hilbert problems: random matrix theory and orthogonal polynomials. (English) Zbl 1357.60015 Constr. Approx. 39, No. 1, 101-149 (2014). Reviewer: Taras Bodnar (Berlin) MSC: 60B20 PDFBibTeX XMLCite \textit{S. Olver} and \textit{T. Trogdon}, Constr. Approx. 39, No. 1, 101--149 (2014; Zbl 1357.60015) Full Text: DOI arXiv
Brauchart, Johann S.; Dick, Josef A characterization of Sobolev spaces on the sphere and an extension of Stolarsky’s invariance principle to arbitrary smoothness. (English) Zbl 1284.41013 Constr. Approx. 38, No. 3, 397-445 (2013). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A30 11K38 41A55 PDFBibTeX XMLCite \textit{J. S. Brauchart} and \textit{J. Dick}, Constr. Approx. 38, No. 3, 397--445 (2013; Zbl 1284.41013) Full Text: DOI arXiv
Karkulik, Michael; Pavlicek, David; Praetorius, Dirk On 2D newest vertex bisection: optimality of mesh-closure and \(H ^{1}\)-stability of \(L _{2}\)-projection. (English) Zbl 1302.65267 Constr. Approx. 38, No. 2, 213-234 (2013); erratum ibid. 42, No. 3, 349-352 (2015). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65N50 65N30 65Y20 65D18 PDFBibTeX XMLCite \textit{M. Karkulik} et al., Constr. Approx. 38, No. 2, 213--234 (2013; Zbl 1302.65267) Full Text: DOI arXiv
Griebel, Michael; Harbrecht, Helmut A note on the construction of \(L\)-fold sparse tensor product spaces. (English) Zbl 1283.41015 Constr. Approx. 38, No. 2, 235-251 (2013). Reviewer: Yuri A. Farkov (Moskva) MSC: 41A25 41A30 41A17 41A65 PDFBibTeX XMLCite \textit{M. Griebel} and \textit{H. Harbrecht}, Constr. Approx. 38, No. 2, 235--251 (2013; Zbl 1283.41015) Full Text: DOI
Stylianopoulos, Nikos Strong asymptotics for Bergman polynomials over domains with corners and applications. (English) Zbl 1283.30006 Constr. Approx. 38, No. 1, 59-100 (2013). Reviewer: Fahreddin Abdullayev (Mersin) MSC: 30C10 30C30 30C50 30C62 41A10 65E05 30E05 PDFBibTeX XMLCite \textit{N. Stylianopoulos}, Constr. Approx. 38, No. 1, 59--100 (2013; Zbl 1283.30006) Full Text: DOI arXiv
Dai, Feng; Wang, Heping Optimal cubature formulas in weighted Besov spaces with \(A _{\infty }\) weights on multivariate domains. (English) Zbl 1278.33005 Constr. Approx. 37, No. 2, 167-194 (2013). Reviewer: Nele De Schepper (Gent) MSC: 33C50 33C52 42B15 42C10 PDFBibTeX XMLCite \textit{F. Dai} and \textit{H. Wang}, Constr. Approx. 37, No. 2, 167--194 (2013; Zbl 1278.33005) Full Text: DOI
Schumaker, Larry L.; Wang, Lujun Splines on triangulations with hanging vertices. (English) Zbl 1262.41008 Constr. Approx. 36, No. 3, 487-511 (2012). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 PDFBibTeX XMLCite \textit{L. L. Schumaker} and \textit{L. Wang}, Constr. Approx. 36, No. 3, 487--511 (2012; Zbl 1262.41008) Full Text: DOI
Sidi, Avram Euler-Maclaurin expansions for integrals with arbitrary algebraic-logarithmic endpoint singularities. (English) Zbl 1329.41041 Constr. Approx. 36, No. 3, 331-352 (2012). MSC: 41A60 65B15 30E15 PDFBibTeX XMLCite \textit{A. Sidi}, Constr. Approx. 36, No. 3, 331--352 (2012; Zbl 1329.41041) Full Text: DOI
Uschmajew, André Regularity of tensor product approximations to square integrable functions. (English) Zbl 1237.41010 Constr. Approx. 34, No. 3, 371-391 (2011). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A46 15A69 49N60 PDFBibTeX XMLCite \textit{A. Uschmajew}, Constr. Approx. 34, No. 3, 371--391 (2011; Zbl 1237.41010) Full Text: DOI
Fidalgo Prieto, U.; López Lagomasino, G. Nikishin systems are perfect. (English) Zbl 1258.30015 Constr. Approx. 34, No. 3, 297-356 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 30E10 42C05 41A20 PDFBibTeX XMLCite \textit{U. Fidalgo Prieto} and \textit{G. López Lagomasino}, Constr. Approx. 34, No. 3, 297--356 (2011; Zbl 1258.30015) Full Text: DOI arXiv
Khoromskij, Boris N. \(O(d \log N)\)-quantics approximation of \(N\)-\(d\) tensors in high-dimensional numerical modeling. (English) Zbl 1228.65069 Constr. Approx. 34, No. 2, 257-280 (2011). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 65F50 15A69 PDFBibTeX XMLCite \textit{B. N. Khoromskij}, Constr. Approx. 34, No. 2, 257--280 (2011; Zbl 1228.65069) Full Text: DOI
Mazure, Marie-Laurence Chebyshev–Schoenberg operators. (English) Zbl 1229.41010 Constr. Approx. 34, No. 2, 181-208 (2011). Reviewer: V. Leontiev (Ul’yanovsk) MSC: 41A15 41A36 41A50 65D07 65D17 PDFBibTeX XMLCite \textit{M.-L. Mazure}, Constr. Approx. 34, No. 2, 181--208 (2011; Zbl 1229.41010) Full Text: DOI
Bebendorf, M. Adaptive cross approximation of multivariate functions. (English) Zbl 1248.41049 Constr. Approx. 34, No. 2, 149-179 (2011). Reviewer: Vladimir N. Karpushkin (Moskva) MSC: 41A80 41A63 15A69 PDFBibTeX XMLCite \textit{M. Bebendorf}, Constr. Approx. 34, No. 2, 149--179 (2011; Zbl 1248.41049) Full Text: DOI
Berg, Christian; Szwarc, Ryszard The smallest eigenvalue of Hankel matrices. (English) Zbl 1259.15024 Constr. Approx. 34, No. 1, 107-133 (2011). MSC: 15A42 15B05 42C05 44A60 PDFBibTeX XMLCite \textit{C. Berg} and \textit{R. Szwarc}, Constr. Approx. 34, No. 1, 107--133 (2011; Zbl 1259.15024) Full Text: DOI arXiv
Beckermann, Bernhard; Gryson, Alexis Extremal rational functions on symmetric discrete sets and superlinear convergence of the ADI method. (English) Zbl 1208.30036 Constr. Approx. 32, No. 3, 393-428 (2010). Reviewer: Zywomir Dinew (Kraków) MSC: 30E10 41A20 65F10 65E05 PDFBibTeX XMLCite \textit{B. Beckermann} and \textit{A. Gryson}, Constr. Approx. 32, No. 3, 393--428 (2010; Zbl 1208.30036) Full Text: DOI
Grohs, Philipp Stability of manifold-valued subdivision schemes and multiscale transformations. (English) Zbl 1205.41013 Constr. Approx. 32, No. 3, 569-596 (2010). Reviewer: Vijay Gupta (New Delhi) MSC: 41A25 PDFBibTeX XMLCite \textit{P. Grohs}, Constr. Approx. 32, No. 3, 569--596 (2010; Zbl 1205.41013) Full Text: DOI
Harizanov, S.; Oswald, P. Stability of nonlinear subdivision and multiscale transforms. (English) Zbl 1225.65028 Constr. Approx. 31, No. 3, 359-393 (2010). Reviewer: Francesc Arandiga Llaudes (Burjassot) MSC: 65D18 65T50 26A16 65T60 PDFBibTeX XMLCite \textit{S. Harizanov} and \textit{P. Oswald}, Constr. Approx. 31, No. 3, 359--393 (2010; Zbl 1225.65028) Full Text: DOI
Dahmen, Wolfgang; Dekel, Shai; Petrushev, Pencho Two-level-split decomposition of anisotropic Besov spaces. (English) Zbl 1195.46030 Constr. Approx. 31, No. 2, 149-194 (2010). Reviewer: Hans Triebel (Jena) MSC: 46E35 41A15 41A25 41A46 PDFBibTeX XMLCite \textit{W. Dahmen} et al., Constr. Approx. 31, No. 2, 149--194 (2010; Zbl 1195.46030) Full Text: DOI
Espig, Mike; Grasedyck, Lars; Hackbusch, Wolfgang Black box low tensor-rank approximation using fiber-crosses. (English) Zbl 1181.65064 Constr. Approx. 30, No. 3, 557-597 (2009). MSC: 65F30 15A69 PDFBibTeX XMLCite \textit{M. Espig} et al., Constr. Approx. 30, No. 3, 557--597 (2009; Zbl 1181.65064) Full Text: DOI
Khoromskij, Boris N. Tensor-structured preconditioners and approximate inverse of elliptic operators in \(\mathbb R^{d}\). (English) Zbl 1185.65051 Constr. Approx. 30, No. 3, 599-620 (2009). Reviewer: Constantin Popa (Constanţa) MSC: 65F08 65F50 65F30 46B28 47A80 35J25 65N38 65N30 PDFBibTeX XMLCite \textit{B. N. Khoromskij}, Constr. Approx. 30, No. 3, 599--620 (2009; Zbl 1185.65051) Full Text: DOI
Werschulz, Arthur G.; Woźniakowski, H. Tractability of multivariate approximation over a weighted unanchored Sobolev space. (English) Zbl 1185.41029 Constr. Approx. 30, No. 3, 395-421 (2009). Reviewer: Costica Mustăţa (Cluj-Napoca) MSC: 41A63 41A65 PDFBibTeX XMLCite \textit{A. G. Werschulz} and \textit{H. Woźniakowski}, Constr. Approx. 30, No. 3, 395--421 (2009; Zbl 1185.41029) Full Text: DOI
Dijkema, Tammo Jan; Schwab, Christoph; Stevenson, Rob An adaptive wavelet method for solving high-dimensional elliptic PDEs. (English) Zbl 1205.65313 Constr. Approx. 30, No. 3, 423-455 (2009). Reviewer: Gerlind Plonka-Hoch (Göttingen) MSC: 65N30 46B28 65T60 35J25 65F35 65Y20 65N12 PDFBibTeX XMLCite \textit{T. J. Dijkema} et al., Constr. Approx. 30, No. 3, 423--455 (2009; Zbl 1205.65313) Full Text: DOI
Zwicknagl, Barbara Power series kernels. (English) Zbl 1184.41004 Constr. Approx. 29, No. 1, 61-84 (2009). Reviewer: Costica Mustăţa (Cluj-Napoca) MSC: 41A05 41A10 41A25 41A58 41A63 68T05 PDFBibTeX XMLCite \textit{B. Zwicknagl}, Constr. Approx. 29, No. 1, 61--84 (2009; Zbl 1184.41004) Full Text: DOI
Pesenson, Isaac Variational splines and Paley-Wiener spaces on Combinatorial graphs. (English) Zbl 1180.42026 Constr. Approx. 29, No. 1, 1-21 (2009). Reviewer: Adhemar Bultheel (Leuven) MSC: 42C99 05C99 94A20 41A15 94A12 PDFBibTeX XMLCite \textit{I. Pesenson}, Constr. Approx. 29, No. 1, 1--21 (2009; Zbl 1180.42026) Full Text: DOI arXiv
Aptekarev, A. I.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Yáñez, R. Discrete entropies of orthogonal polynomials. (English) Zbl 1177.33018 Constr. Approx. 30, No. 1, 93-119 (2009). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 41A58 42C05 94A17 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Constr. Approx. 30, No. 1, 93--119 (2009; Zbl 1177.33018) Full Text: DOI arXiv
Han, Bin; Shen, Zuowei Dual wavelet frames and Riesz bases in Sobolev spaces. (English) Zbl 1161.42018 Constr. Approx. 29, No. 3, 369-406 (2009). MSC: 42C40 41A15 41A63 42B35 PDFBibTeX XMLCite \textit{B. Han} and \textit{Z. Shen}, Constr. Approx. 29, No. 3, 369--406 (2009; Zbl 1161.42018) Full Text: DOI
Aldaz, J. M.; Kounchev, O.; Render, H. Bernstein operators for exponential polynomials. (English) Zbl 1175.41019 Constr. Approx. 29, No. 3, 345-367 (2009). Reviewer: D. K. Ugulawa (Tbilisi) MSC: 41A35 41A50 PDFBibTeX XMLCite \textit{J. M. Aldaz} et al., Constr. Approx. 29, No. 3, 345--367 (2009; Zbl 1175.41019) Full Text: DOI arXiv
Costantini, Paolo; Manni, Carla On constrained nonlinear Hermite subdivision. (English) Zbl 1177.65021 Constr. Approx. 28, No. 3, 291-331 (2008). MSC: 65D05 65D17 PDFBibTeX XMLCite \textit{P. Costantini} and \textit{C. Manni}, Constr. Approx. 28, No. 3, 291--331 (2008; Zbl 1177.65021) Full Text: DOI
Liesen, J. Faber polynomials corresponding to rational exterior mapping functions. (English) Zbl 0990.30002 Constructive Approximation 17, No. 2, 267-274 (2001). Reviewer: George Csordas (Honolulu) MSC: 30C10 30C20 PDFBibTeX XMLCite \textit{J. Liesen}, Constr. Approx. 17, No. 2, 267--274 (2001; Zbl 0990.30002) Full Text: DOI
Davydov, O.; Nürnberger, G.; Zeilfelder, F. Bivariate spline interpolation with optimal approximation order. (English) Zbl 1004.41005 Constructive Approximation 17, No. 2, 181-208 (2001). Reviewer: Jesus Illán González (Vigo) MSC: 41A25 41A63 41A05 41A15 65D05 65D07 PDFBibTeX XMLCite \textit{O. Davydov} et al., Constr. Approx. 17, No. 2, 181--208 (2001; Zbl 1004.41005) Full Text: DOI Link
Peherstorfer, F. Explicit generalized Zolotarev polynomials with complex coefficients. (English) Zbl 0898.41005 Constructive Approximation 13, No. 2, 261-269 (1997). Reviewer: A.Lukashov (Saratov) MSC: 41A10 41A50 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Constr. Approx. 13, No. 2, 261--269 (1997; Zbl 0898.41005) Full Text: DOI
Plonka, G. Approximation order provided by refinable function vectors. (English) Zbl 0870.41015 Constructive Approximation 13, No. 2, 221-244 (1997). MSC: 41A25 41A30 42A99 46C99 PDFBibTeX XMLCite \textit{G. Plonka}, Constr. Approx. 13, No. 2, 221--244 (1997; Zbl 0870.41015) Full Text: DOI
Barry, P. J. de Boor-fix dual functionals and algorithms for Tchebycheffian B-spline curves. (English) Zbl 0854.41010 Constructive Approximation 12, No. 3, 385-408 (1996). MSC: 41A15 65D17 PDFBibTeX XMLCite \textit{P. J. Barry}, Constr. Approx. 12, No. 3, 385--408 (1996; Zbl 0854.41010) Full Text: DOI
Gugat, M. An algorithm for Chebyshev approximation by rationals with constrained denominators. (English) Zbl 0886.41013 Constructive Approximation 12, No. 2, 197-221 (1996). Reviewer: W.W.Breckner (Cluj-Napoca) MSC: 41A20 65D15 90C32 90C34 PDFBibTeX XMLCite \textit{M. Gugat}, Constr. Approx. 12, No. 2, 197--221 (1996; Zbl 0886.41013) Full Text: DOI
Nürnberger, G. Bivariate segment approximation and free knot splines: Research Problems 96-4. (English) Zbl 0886.41010 Constructive Approximation 12, No. 4, 555-558 (1996). MSC: 41A15 41A63 PDFBibTeX XMLCite \textit{G. Nürnberger}, Constr. Approx. 12, No. 4, 555--558 (1996; Zbl 0886.41010) Full Text: DOI
Mantica, G. A stable Stieltjes technique for computing orthogonal polynomials and Jacobi matrices associated with a class of singular measures. (English) Zbl 0878.42014 Constructive Approximation 12, No. 4, 509-530 (1996). Reviewer: L.Gatteschi (Torino) MSC: 42C05 28A80 37D45 65D30 81Q10 PDFBibTeX XMLCite \textit{G. Mantica}, Constr. Approx. 12, No. 4, 509--530 (1996; Zbl 0878.42014) Full Text: DOI
van Barel, Marc; Bultheel, Adhemar A look-ahead method for computing vector Padé-Hermite approximants. (English) Zbl 0841.41012 Constructive Approximation 11, No. 4, 455-476 (1995). MSC: 41A21 65F05 PDFBibTeX XMLCite \textit{M. van Barel} and \textit{A. Bultheel}, Constr. Approx. 11, No. 4, 455--476 (1995; Zbl 0841.41012) Full Text: DOI
Borwein, P. B.; Chen, Weiyu Incomplete rational approximation in the complex plane. (English) Zbl 0820.41013 Constructive Approximation 11, No. 1, 85-106 (1995). MSC: 41A20 41A21 41A60 30C15 PDFBibTeX XMLCite \textit{P. B. Borwein} and \textit{W. Chen}, Constr. Approx. 11, No. 1, 85--106 (1995; Zbl 0820.41013) Full Text: DOI
Laugesen, R. Conformal mapping of long quadrilaterals and thick doubly connected domains. (English) Zbl 0814.30008 Constructive Approximation 10, No. 4, 523-554 (1994). Reviewer: R.Wegmann (Garching) MSC: 30C35 30C30 65E05 30E10 PDFBibTeX XMLCite \textit{R. Laugesen}, Constr. Approx. 10, No. 4, 523--554 (1994; Zbl 0814.30008) Full Text: DOI
Nürnberger, G. Strong unicity in nonlinear approximation and free knot splines. (English) Zbl 0798.41006 Constructive Approximation 10, No. 2, 285-299 (1994). MSC: 41A15 41A50 41A52 PDFBibTeX XMLCite \textit{G. Nürnberger}, Constr. Approx. 10, No. 2, 285--299 (1994; Zbl 0798.41006) Full Text: DOI
Runckel, Hans-J. Solution formulas for linear difference equations with applications to continued fractions. (English) Zbl 0803.39003 Constructive Approximation 10, No. 2, 207-234 (1994). Reviewer: V.I.Tkachenko (Kiev) MSC: 39A10 40A15 30B70 30B40 PDFBibTeX XMLCite \textit{H.-J. Runckel}, Constr. Approx. 10, No. 2, 207--234 (1994; Zbl 0803.39003) Full Text: DOI
Streng, M.; Wetterling, W. Chebyshev approximation of a point set by a straight line. (English) Zbl 0804.41023 Constructive Approximation 10, No. 2, 187-196 (1994). MSC: 41A50 90C30 65D10 PDFBibTeX XMLCite \textit{M. Streng} and \textit{W. Wetterling}, Constr. Approx. 10, No. 2, 187--196 (1994; Zbl 0804.41023) Full Text: DOI
Wegmann, Rudolf Crowding for analytic functions with elongated range. (English) Zbl 0844.30004 Constructive Approximation 10, No. 2, 179-186 (1994). MSC: 30C35 30E10 PDFBibTeX XMLCite \textit{R. Wegmann}, Constr. Approx. 10, No. 2, 179--186 (1994; Zbl 0844.30004) Full Text: DOI
Csordas, George; Smith, Wayne; Varga, Richard S. Lehmer pairs of zeros, the de Bruijn-Newman constant \(\Lambda\), and the Riemann hypothesis. (English) Zbl 0792.30020 Constructive Approximation 10, No. 1, 107-129 (1994). MSC: 30D10 30D15 11M26 11Y60 PDFBibTeX XMLCite \textit{G. Csordas} et al., Constr. Approx. 10, No. 1, 107--129 (1994; Zbl 0792.30020) Full Text: DOI
Dahmen, Wolfgang; Micchelli, Charles A. Banded matrices with banded inverses. II: Locally finite decomposition of spline spaces. (English) Zbl 0784.15005 Constructive Approximation 9, No. 2-3, 263-281 (1993). Reviewer: G.Steidl (Darmstadt) MSC: 15A23 15A24 41A15 39B42 42C15 47A62 PDFBibTeX XMLCite \textit{W. Dahmen} and \textit{C. A. Micchelli}, Constr. Approx. 9, No. 2--3, 263--281 (1993; Zbl 0784.15005) Full Text: DOI
Dahlke, Stephan; Weinreich, Ilona Wavelet-Galerkin methods: An adapted biorthogonal wavelet basis. (English) Zbl 0777.34015 Constructive Approximation 9, No. 2-3, 237-262 (1993). Reviewer: P.Chocholatý (Bratislava) MSC: 65J99 34K10 42C05 46N99 65N30 PDFBibTeX XMLCite \textit{S. Dahlke} and \textit{I. Weinreich}, Constr. Approx. 9, No. 2--3, 237--262 (1993; Zbl 0777.34015) Full Text: DOI
Mathé, Peter A minimax principle for the optimal error of Monte Carlo methods. (English) Zbl 0762.41032 Constructive Approximation 9, No. 1, 23-39 (1993). MSC: 41A65 65C05 PDFBibTeX XMLCite \textit{P. Mathé}, Constr. Approx. 9, No. 1, 23--39 (1993; Zbl 0762.41032) Full Text: DOI
Baratchart, L.; Wielonsky, F. Rational approximation in the real Hardy space \(H_ 2\) and Stieltjes integrals: A uniqueness theorem. (English) Zbl 0769.30024 Constructive Approximation 9, No. 1, 1-21 (1993). Reviewer: J.Bustamante González (La Habana) MSC: 30E10 41A20 PDFBibTeX XMLCite \textit{L. Baratchart} and \textit{F. Wielonsky}, Constr. Approx. 9, No. 1, 1--21 (1993; Zbl 0769.30024) Full Text: DOI
Fischer, Bernd Chebyshev polynomials for disjoint compact sets. (English) Zbl 0778.41012 Constructive Approximation 8, No. 3, 309-329 (1992). MSC: 41A50 33C45 30E10 PDFBibTeX XMLCite \textit{B. Fischer}, Constr. Approx. 8, No. 3, 309--329 (1992; Zbl 0778.41012) Full Text: DOI
Allouche, H.; Cuyt, A. On the structure of a table of multivariate rational interpolants. (English) Zbl 0764.41008 Constructive Approximation 8, No. 1, 69-86 (1992). Reviewer: M.G.de Bruin (Haarlem) MSC: 41A20 41A63 PDFBibTeX XMLCite \textit{H. Allouche} and \textit{A. Cuyt}, Constr. Approx. 8, No. 1, 69--86 (1992; Zbl 0764.41008) Full Text: DOI
McInnes, A. W. Existence and uniqueness of algebraic function approximations. (English) Zbl 0755.41020 Constructive Approximation 8, No. 1, 1-21 (1992). MSC: 41A21 41A30 PDFBibTeX XMLCite \textit{A. W. McInnes}, Constr. Approx. 8, No. 1, 1--21 (1992; Zbl 0755.41020) Full Text: DOI
Lee, S. L.; Phillips, G. M. Construction of lattices for Lagrange interpolation in projective space. (English) Zbl 0733.41011 Constructive Approximation 7, No. 3, 283-297 (1991). Reviewer: J.Štulc (Praha) MSC: 41A05 41A10 41A63 PDFBibTeX XMLCite \textit{S. L. Lee} and \textit{G. M. Phillips}, Constr. Approx. 7, No. 3, 283--297 (1991; Zbl 0733.41011) Full Text: DOI
Papamichael, N.; Stylianopoulos, N. S. A domain decomposition method for conformal mapping onto a rectangle. (English) Zbl 0729.30009 Constructive Approximation 7, No. 3, 349-379 (1991). Reviewer: D.Gaier (Gießen) MSC: 30C30 PDFBibTeX XMLCite \textit{N. Papamichael} and \textit{N. S. Stylianopoulos}, Constr. Approx. 7, No. 3, 349--379 (1991; Zbl 0729.30009) Full Text: DOI
Gaier, Dieter; Hayman, Walter On the computation of modules of long quadrilaterals. (English) Zbl 0729.30008 Constructive Approximation 7, No. 4, 453-467 (1991). Reviewer: R.Kühnau (Halle) MSC: 30C30 30E10 30C35 PDFBibTeX XMLCite \textit{D. Gaier} and \textit{W. Hayman}, Constr. Approx. 7, No. 4, 453--467 (1991; Zbl 0729.30008) Full Text: DOI
Newman, Charles M. The GHS inequality and the Riemann hypothesis. (English) Zbl 0727.60120 Constructive Approximation 7, No. 3, 389-399 (1991). MSC: 60K35 82B26 PDFBibTeX XMLCite \textit{C. M. Newman}, Constr. Approx. 7, No. 3, 389--399 (1991; Zbl 0727.60120) Full Text: DOI
Utreras, Florencio; Varas, M. Leonor Monotone interpolation of scattered data in \({\mathbb{R}}^ s\). (English) Zbl 0722.41011 Constructive Approximation 7, No. 1, 49-68 (1991). Reviewer: J.Stulč (Praha) MSC: 41A05 65D05 PDFBibTeX XMLCite \textit{F. Utreras} and \textit{M. L. Varas}, Constr. Approx. 7, No. 1, 49--68 (1991; Zbl 0722.41011) Full Text: DOI
Stöckler, Joachim Multivariate Bernoulli splines and the periodic interpolation problem. (English) Zbl 0721.41015 Constructive Approximation 7, No. 1, 105-122 (1991). MSC: 41A15 41A63 41A05 46E20 41A25 PDFBibTeX XMLCite \textit{J. Stöckler}, Constr. Approx. 7, No. 1, 105--122 (1991; Zbl 0721.41015) Full Text: DOI
Lubinsky, D. S. Distribution of poles of diagonal rational approximants to functions of fast rational approximability. (English) Zbl 0735.41015 Constructive Approximation 7, No. 4, 501-519 (1991). Reviewer: M.G.de Bruin (Haarlem) MSC: 41A20 41A21 30E10 PDFBibTeX XMLCite \textit{D. S. Lubinsky}, Constr. Approx. 7, No. 4, 501--519 (1991; Zbl 0735.41015) Full Text: DOI