Pronzato, L.; Zhigljavsky, A. Quasi-uniform designs with optimal and near-optimal uniformity constant. (English) Zbl 07734904 J. Approx. Theory 294, Article ID 105931, 14 p. (2023). MSC: 41-XX 42-XX PDF BibTeX XML Cite \textit{L. Pronzato} and \textit{A. Zhigljavsky}, J. Approx. Theory 294, Article ID 105931, 14 p. (2023; Zbl 07734904) Full Text: DOI arXiv
Xia, Peng; Lei, Na; Dong, Tian On the linearization methods for univariate Birkhoff rational interpolation. (English) Zbl 1511.41009 Appl. Math. Comput. 445, Article ID 127831, 19 p. (2023). MSC: 41A20 41A05 65D05 PDF BibTeX XML Cite \textit{P. Xia} et al., Appl. Math. Comput. 445, Article ID 127831, 19 p. (2023; Zbl 1511.41009) Full Text: DOI
Cuomo, Salvatore; Erb, Wolfgang; Santin, Gabriele Kernel-based models for influence maximization on graphs based on Gaussian process variance minimization. (English) Zbl 07640812 J. Comput. Appl. Math. 423, Article ID 114951, 15 p. (2023). MSC: 65D05 94A12 41A05 41A63 91D30 PDF BibTeX XML Cite \textit{S. Cuomo} et al., J. Comput. Appl. Math. 423, Article ID 114951, 15 p. (2023; Zbl 07640812) Full Text: DOI arXiv
Dell’Accio, Francesco; Di Tommaso, Filomena; Guessab, Allal; Nudo, Federico On the improvement of the triangular Shepard method by non conformal polynomial elements. (English) Zbl 07630344 Appl. Numer. Math. 184, 446-460 (2023). MSC: 41Axx 65Dxx 65Nxx PDF BibTeX XML Cite \textit{F. Dell'Accio} et al., Appl. Numer. Math. 184, 446--460 (2023; Zbl 07630344) Full Text: DOI
Xu, Yiming; Narayan, Akil Randomized weakly admissible meshes. (English) Zbl 07628660 J. Approx. Theory 285, Article ID 105835, 32 p. (2023). Reviewer: Anjali (Delhi) MSC: 41A10 65D99 PDF BibTeX XML Cite \textit{Y. Xu} and \textit{A. Narayan}, J. Approx. Theory 285, Article ID 105835, 32 p. (2023; Zbl 07628660) Full Text: DOI arXiv
Marchetti, Francesco; Santin, Gabriele Convergence results in image interpolation with the continuous SSIM. (English) Zbl 07630081 SIAM J. Imaging Sci. 15, No. 4, 1977-1999 (2022). MSC: 41A05 65D05 65D12 68U10 PDF BibTeX XML Cite \textit{F. Marchetti} and \textit{G. Santin}, SIAM J. Imaging Sci. 15, No. 4, 1977--1999 (2022; Zbl 07630081) Full Text: DOI arXiv
Campagna, R.; De Marchi, S.; Perracchione, E.; Santin, G. Stable interpolation with exponential-polynomial splines and node selection via greedy algorithms. (English) Zbl 1504.65028 Adv. Comput. Math. 48, No. 6, Paper No. 69, 27 p. (2022). MSC: 65D07 41A05 41A15 PDF BibTeX XML Cite \textit{R. Campagna} et al., Adv. Comput. Math. 48, No. 6, Paper No. 69, 27 p. (2022; Zbl 1504.65028) Full Text: DOI
De Marchi, Stefano Mapped polynomials and discontinuous kernels for Runge and Gibbs phenomena. (English) Zbl 1507.65049 Barrera, Domingo (ed.) et al., Mathematical and computational methods for modelling, approximation and simulation. Selected papers based on the presentations at the lectures presented at the international conference, MACMAS 2019, Granada, Spain, September 9–11, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 29, 3-43 (2022). MSC: 65D15 41A10 PDF BibTeX XML Cite \textit{S. De Marchi}, SEMA SIMAI Springer Ser. 29, 3--43 (2022; Zbl 1507.65049) Full Text: DOI
Wang, Guoshun; Yu, Dansheng Approximation by radial Shepard operators on scattered data. (English) Zbl 07599044 Anal. Math. Phys. 12, No. 5, Paper No. 127, 12 p. (2022). MSC: 41A25 41A36 PDF BibTeX XML Cite \textit{G. Wang} and \textit{D. Yu}, Anal. Math. Phys. 12, No. 5, Paper No. 127, 12 p. (2022; Zbl 07599044) Full Text: DOI
Erb, Wolfgang Graph signal interpolation with positive definite graph basis functions. (English) Zbl 1493.94005 Appl. Comput. Harmon. Anal. 60, 368-395 (2022). MSC: 94A12 05C50 41A05 PDF BibTeX XML Cite \textit{W. Erb}, Appl. Comput. Harmon. Anal. 60, 368--395 (2022; Zbl 1493.94005) Full Text: DOI arXiv
Yang, Hyoseon; Yoon, Jungho A shape preserving \(C^2\) non-linear, non-uniform, subdivision scheme with fourth-order accuracy. (English) Zbl 1512.41004 Appl. Comput. Harmon. Anal. 60, 267-292 (2022). MSC: 41A05 41A29 65D05 65D10 65D17 PDF BibTeX XML Cite \textit{H. Yang} and \textit{J. Yoon}, Appl. Comput. Harmon. Anal. 60, 267--292 (2022; Zbl 1512.41004) Full Text: DOI
De Marchi, Stefano; Elefante, Giacomo; Francomano, Elisa; Marchetti, Francesco Polynomial mapped bases: theory and applications. (English) Zbl 1512.41001 Commun. Appl. Ind. Math. 13, No. 1, 1-9 (2022). Reviewer: Antonio López-Carmona (Granada) MSC: 41A05 41A10 PDF BibTeX XML Cite \textit{S. De Marchi} et al., Commun. Appl. Ind. Math. 13, No. 1, 1--9 (2022; Zbl 1512.41001) Full Text: DOI arXiv
Marchetti, Francesco; Perracchione, Emma Efficient reduced basis algorithm (ERBA) for kernel-based approximation. (English) Zbl 1493.65030 J. Sci. Comput. 91, No. 2, Paper No. 41, 17 p. (2022). MSC: 65D07 41A05 65D10 65D15 PDF BibTeX XML Cite \textit{F. Marchetti} and \textit{E. Perracchione}, J. Sci. Comput. 91, No. 2, Paper No. 41, 17 p. (2022; Zbl 1493.65030) Full Text: DOI arXiv
De Marchi, Stefano Padua points and “fake” nodes for polynomial approximation: old, new and open problems. (English) Zbl 1499.41099 Constr. Math. Anal. 5, No. 1, 14-36 (2022). MSC: 41A63 PDF BibTeX XML Cite \textit{S. De Marchi}, Constr. Math. Anal. 5, No. 1, 14--36 (2022; Zbl 1499.41099) Full Text: DOI
Santin, Gabriele; Karvonen, Toni; Haasdonk, Bernard Sampling based approximation of linear functionals in reproducing kernel Hilbert spaces. (English) Zbl 1485.65024 BIT 62, No. 1, 279-310 (2022). MSC: 65D32 65J99 65D05 65D15 41A05 41A25 PDF BibTeX XML Cite \textit{G. Santin} et al., BIT 62, No. 1, 279--310 (2022; Zbl 1485.65024) Full Text: DOI arXiv
Sommariva, A.; Vianello, M. Near-optimal polynomial interpolation on spherical triangles. (English) Zbl 1504.65025 Mediterr. J. Math. 19, No. 2, Paper No. 68, 17 p. (2022). MSC: 65D05 41A10 PDF BibTeX XML Cite \textit{A. Sommariva} and \textit{M. Vianello}, Mediterr. J. Math. 19, No. 2, Paper No. 68, 17 p. (2022; Zbl 1504.65025) Full Text: DOI
Hoang Thieu Anh; Nguyen Quang Dieu; Tang Van Long Bernstein-Markov property for compact sets in \(\mathbb{C}^d\). (English) Zbl 1483.32001 Result. Math. 77, No. 1, Paper No. 40, 17 p. (2022). MSC: 32A08 41A17 32E30 PDF BibTeX XML Cite \textit{Hoang Thieu Anh} et al., Result. Math. 77, No. 1, Paper No. 40, 17 p. (2022; Zbl 1483.32001) Full Text: DOI
Glaubitz, Jan Stable high-order cubature formulas for experimental data. (English) Zbl 07516440 J. Comput. Phys. 447, Article ID 110693, 22 p. (2021). MSC: 65Dxx 41Axx 94Axx PDF BibTeX XML Cite \textit{J. Glaubitz}, J. Comput. Phys. 447, Article ID 110693, 22 p. (2021; Zbl 07516440) Full Text: DOI arXiv
Dutta, Sourav; Farthing, Matthew W.; Perracchione, Emma; Savant, Gaurav; Putti, Mario A greedy non-intrusive reduced order model for shallow water equations. (English) Zbl 07512322 J. Comput. Phys. 439, Article ID 110378, 30 p. (2021). MSC: 41Axx 65Dxx 76Mxx PDF BibTeX XML Cite \textit{S. Dutta} et al., J. Comput. Phys. 439, Article ID 110378, 30 p. (2021; Zbl 07512322) Full Text: DOI arXiv
De Marchi, S.; Elefante, G.; Marchetti, F. Stable discontinuous mapped bases: the Gibbs-Runge-avoiding stable polynomial approximation (GRASPA) method. (English) Zbl 1499.65029 Comput. Appl. Math. 40, No. 8, Paper No. 299, 17 p. (2021). MSC: 65D05 65D15 41A05 PDF BibTeX XML Cite \textit{S. De Marchi} et al., Comput. Appl. Math. 40, No. 8, Paper No. 299, 17 p. (2021; Zbl 1499.65029) Full Text: DOI arXiv
Levenberg, N.; Wielonsky, F. Polynomials associated to non-convex bodies. (English) Zbl 1499.32050 Acta Math. Hung. 165, No. 2, 415-449 (2021). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 32U15 41A10 32U05 PDF BibTeX XML Cite \textit{N. Levenberg} and \textit{F. Wielonsky}, Acta Math. Hung. 165, No. 2, 415--449 (2021; Zbl 1499.32050) Full Text: DOI arXiv
Vlachkova, Krassimira An improved algorithm for scattered data interpolation using quartic triangular Bézier surfaces. (English) Zbl 07452109 Garanzha, Vladimir A. (ed.) et al., Numerical geometry, grid generation and scientific computing. Proceedings of the 10th international conference, NUMGRID 2020 / Delaunay 130, celebrating the 130th anniversary of Boris Delaunay, Moscow, Russia, November 25–27, 2020. Cham: Springer. Lect. Notes Comput. Sci. Eng. 143, 327-339 (2021). MSC: 65-XX 41-XX PDF BibTeX XML Cite \textit{K. Vlachkova}, Lect. Notes Comput. Sci. Eng. 143, 327--339 (2021; Zbl 07452109) Full Text: DOI
Nouisser, Otheman; Zerroudi, Benaissa Modified Shepard’s method by six-points local interpolant. (English) Zbl 1490.65011 J. Appl. Math. Comput. 65, No. 1-2, 651-667 (2021). MSC: 65D05 41A05 41A63 41A35 PDF BibTeX XML Cite \textit{O. Nouisser} and \textit{B. Zerroudi}, J. Appl. Math. Comput. 65, No. 1--2, 651--667 (2021; Zbl 1490.65011) Full Text: DOI
Romani, Lucia Creating a bridge between cardinal B\(r\)-spline fundamental functions for interpolation and subdivision. (English) Zbl 1508.65008 Appl. Math. Comput. 401, Article ID 126071, 19 p. (2021). MSC: 65D07 41A05 41A15 PDF BibTeX XML Cite \textit{L. Romani}, Appl. Math. Comput. 401, Article ID 126071, 19 p. (2021; Zbl 1508.65008) Full Text: DOI
De Marchi, Stefano; Elefante, Giacomo; Marchetti, Francesco On \((\beta,\gamma)\)-Chebyshev functions and points of the interval. (English) Zbl 1482.41001 J. Approx. Theory 271, Article ID 105634, 17 p. (2021). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 41A05 33C45 42C05 PDF BibTeX XML Cite \textit{S. De Marchi} et al., J. Approx. Theory 271, Article ID 105634, 17 p. (2021; Zbl 1482.41001) Full Text: DOI arXiv
Sommariva, A.; Vianello, M. Near-algebraic Tchakaloff-like quadrature on spherical triangles. (English) Zbl 07410101 Appl. Math. Lett. 120, Article ID 107282, 7 p. (2021). MSC: 65D32 41A55 41A63 65D30 65N30 PDF BibTeX XML Cite \textit{A. Sommariva} and \textit{M. Vianello}, Appl. Math. Lett. 120, Article ID 107282, 7 p. (2021; Zbl 07410101) Full Text: DOI
Campagna, Rosanna; Conti, Costanza Penalized hyperbolic-polynomial splines. (English) Zbl 1479.41003 Appl. Math. Lett. 118, Article ID 107159, 11 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A10 41A15 41A30 PDF BibTeX XML Cite \textit{R. Campagna} and \textit{C. Conti}, Appl. Math. Lett. 118, Article ID 107159, 11 p. (2021; Zbl 1479.41003) Full Text: DOI Link
Nguyen Quang Dieu; Phung Van Manh On generalized least power approximation. (English) Zbl 1479.41007 Math. Inequal. Appl. 24, No. 3, 695-713 (2021). MSC: 41A10 41A63 41A65 PDF BibTeX XML Cite \textit{Nguyen Quang Dieu} and \textit{Phung Van Manh}, Math. Inequal. Appl. 24, No. 3, 695--713 (2021; Zbl 1479.41007) Full Text: DOI
Dell’Accio, Francesco; Di Tommaso, Filomena; Nouisser, Otheman; Siar, Najoua Solving Poisson equation with Dirichlet conditions through multinode Shepard operators. (English) Zbl 07384093 Comput. Math. Appl. 98, 254-260 (2021). MSC: 65D05 65N35 41A05 65N12 41A63 PDF BibTeX XML Cite \textit{F. Dell'Accio} et al., Comput. Math. Appl. 98, 254--260 (2021; Zbl 07384093) Full Text: DOI
Charina, Maria; Protasov, Vladimir Yu. Analytic functions in local shift-invariant spaces and analytic limits of level dependent subdivision. (English) Zbl 1476.46037 J. Fourier Anal. Appl. 27, No. 3, Paper No. 45, 31 p. (2021). MSC: 46E30 42C40 41A30 42B35 65D17 PDF BibTeX XML Cite \textit{M. Charina} and \textit{V. Yu. Protasov}, J. Fourier Anal. Appl. 27, No. 3, Paper No. 45, 31 p. (2021; Zbl 1476.46037) Full Text: DOI arXiv
Karvonen, Toni; Särkkä, Simo; Tanaka, Ken’ichiro Kernel-based interpolation at approximate Fekete points. (English) Zbl 07340131 Numer. Algorithms 87, No. 1, 445-468 (2021); correction ibid. 87, No. 1, 469-471 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A30 65D05 65D12 PDF BibTeX XML Cite \textit{T. Karvonen} et al., Numer. Algorithms 87, No. 1, 445--468 (2021; Zbl 07340131) Full Text: DOI arXiv
De Marchi, S.; Marchetti, F.; Perracchione, E.; Poggiali, D. Multivariate approximation at fake nodes. (English) Zbl 1474.65022 Appl. Math. Comput. 391, Article ID 125628, 18 p. (2021). MSC: 65D05 41A05 65D15 PDF BibTeX XML Cite \textit{S. De Marchi} et al., Appl. Math. Comput. 391, Article ID 125628, 18 p. (2021; Zbl 1474.65022) Full Text: DOI
Wenzel, Tizian; Santin, Gabriele; Haasdonk, Bernard A novel class of stabilized greedy kernel approximation algorithms: convergence, stability and uniform point distribution. (English) Zbl 1458.65018 J. Approx. Theory 262, Article ID 105508, 31 p. (2021). MSC: 65D15 41A30 41A63 PDF BibTeX XML Cite \textit{T. Wenzel} et al., J. Approx. Theory 262, Article ID 105508, 31 p. (2021; Zbl 1458.65018) Full Text: DOI arXiv
Dell’Accio, Francesco; Di Tommaso, Filomena; Nouisser, Otheman; Zerroudi, Benaissa Fast and accurate scattered Hermite interpolation by triangular Shepard operators. (English) Zbl 1484.65023 J. Comput. Appl. Math. 382, Article ID 113092, 14 p. (2021). MSC: 65D05 41A05 41A10 41A20 65D15 PDF BibTeX XML Cite \textit{F. Dell'Accio} et al., J. Comput. Appl. Math. 382, Article ID 113092, 14 p. (2021; Zbl 1484.65023) Full Text: DOI
Dell’Accio, Francesco; Di Tommaso, Filomena; Nouisser, Otheman; Siar, Najoua Rational Hermite interpolation on six-tuples and scattered data. (English) Zbl 1497.65019 Appl. Math. Comput. 386, Article ID 125452, 10 p. (2020). MSC: 65D05 41A05 41A20 PDF BibTeX XML Cite \textit{F. Dell'Accio} et al., Appl. Math. Comput. 386, Article ID 125452, 10 p. (2020; Zbl 1497.65019) Full Text: DOI
Occorsio, Donatella; Themistoclakis, Woula Uniform weighted approximation on the square by polynomial interpolation at Chebyshev nodes. (English) Zbl 1474.41081 Appl. Math. Comput. 385, Article ID 125457, 16 p. (2020). MSC: 41A81 41A10 33C45 65D05 PDF BibTeX XML Cite \textit{D. Occorsio} and \textit{W. Themistoclakis}, Appl. Math. Comput. 385, Article ID 125457, 16 p. (2020; Zbl 1474.41081) Full Text: DOI
Caliari, Marco; Cassini, Fabio; Zivcovich, Franco Approximation of the matrix exponential for matrices with a skinny field of values. (English) Zbl 1455.65069 BIT 60, No. 4, 1113-1131 (2020). MSC: 65F60 65D05 41A05 PDF BibTeX XML Cite \textit{M. Caliari} et al., BIT 60, No. 4, 1113--1131 (2020; Zbl 1455.65069) Full Text: DOI
Tanaka, Ken’ichiro Generation of point sets by convex optimization for interpolation in reproducing kernel Hilbert spaces. (English) Zbl 1459.65020 Numer. Algorithms 84, No. 3, 1049-1079 (2020). Reviewer: Antonio López-Carmona (Granada) MSC: 65D05 41A05 46E22 PDF BibTeX XML Cite \textit{K. Tanaka}, Numer. Algorithms 84, No. 3, 1049--1079 (2020; Zbl 1459.65020) Full Text: DOI arXiv
De Marchi, S.; Marchetti, F.; Perracchione, E. Jumping with variably scaled discontinuous kernels (VSDKs). (English) Zbl 07209368 BIT 60, No. 2, 441-463 (2020). MSC: 65D05 65D15 41A05 41A25 PDF BibTeX XML Cite \textit{S. De Marchi} et al., BIT 60, No. 2, 441--463 (2020; Zbl 07209368) Full Text: DOI
Berrut, J.-P.; De Marchi, S.; Elefante, G.; Marchetti, F. Treating the Gibbs phenomenon in barycentric rational interpolation and approximation via the S-Gibbs algorithm. (English) Zbl 1440.41004 Appl. Math. Lett. 103, Article ID 106196, 7 p. (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A20 65D05 65D15 65D10 PDF BibTeX XML Cite \textit{J. P. Berrut} et al., Appl. Math. Lett. 103, Article ID 106196, 7 p. (2020; Zbl 1440.41004) Full Text: DOI Link
De Marchi, S.; Erb, W.; Marchetti, F.; Perracchione, E.; Rossini, M. Shape-driven interpolation with discontinuous kernels: error analysis, edge extraction, and applications in magnetic particle imaging. (English) Zbl 1444.65006 SIAM J. Sci. Comput. 42, No. 2, B472-B491 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D12 41A05 41A25 65D05 PDF BibTeX XML Cite \textit{S. De Marchi} et al., SIAM J. Sci. Comput. 42, No. 2, B472--B491 (2020; Zbl 1444.65006) Full Text: DOI arXiv
Cavoretto, R.; De Rossi, A.; Dell’Accio, F.; Di Tommaso, F. An efficient trivariate algorithm for tetrahedral Shepard interpolation. (English) Zbl 1486.65014 J. Sci. Comput. 82, No. 3, Paper No. 57, 15 p. (2020). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65D05 65D15 41A05 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., J. Sci. Comput. 82, No. 3, Paper No. 57, 15 p. (2020; Zbl 1486.65014) Full Text: DOI Link
Dell’Accio, Francesco; Di Tommaso, Filomena On the hexagonal Shepard method. (English) Zbl 1453.65030 Appl. Numer. Math. 150, 51-64 (2020). Reviewer: Roberto Cavoretto (Torino) MSC: 65D05 41A05 41A10 41A63 PDF BibTeX XML Cite \textit{F. Dell'Accio} and \textit{F. Di Tommaso}, Appl. Numer. Math. 150, 51--64 (2020; Zbl 1453.65030) Full Text: DOI
Gil, A.; Segura, J.; Temme, N. M. Numerical evaluation of Airy-type integrals arising in uniform asymptotic analysis. (English) Zbl 1493.65045 J. Comput. Appl. Math. 371, Article ID 112717, 18 p. (2020). MSC: 65D20 33C10 41A60 65D32 PDF BibTeX XML Cite \textit{A. Gil} et al., J. Comput. Appl. Math. 371, Article ID 112717, 18 p. (2020; Zbl 1493.65045) Full Text: DOI arXiv Link
Bauman, B.; Sommariva, A.; Vianello, M. Compressed algebraic cubature over polygons with applications to optical design. (English) Zbl 1493.65055 J. Comput. Appl. Math. 370, Article ID 112658, 10 p. (2020). MSC: 65D32 41A55 41A63 78M99 PDF BibTeX XML Cite \textit{B. Bauman} et al., J. Comput. Appl. Math. 370, Article ID 112658, 10 p. (2020; Zbl 1493.65055) Full Text: DOI
De Marchi, S.; Marchetti, F.; Perracchione, E.; Poggiali, D. Polynomial interpolation via mapped bases without resampling. (English) Zbl 1439.65010 J. Comput. Appl. Math. 364, Article ID 112347, 12 p. (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D05 41A05 65D15 PDF BibTeX XML Cite \textit{S. De Marchi} et al., J. Comput. Appl. Math. 364, Article ID 112347, 12 p. (2020; Zbl 1439.65010) Full Text: DOI
Donat, Rosa; López-Ureña, Sergio Nonlinear stationary subdivision schemes reproducing hyperbolic and trigonometric functions. (English) Zbl 1462.65025 Adv. Comput. Math. 45, No. 5-6, 3137-3172 (2019). MSC: 65D15 65D17 41A25 41A30 PDF BibTeX XML Cite \textit{R. Donat} and \textit{S. López-Ureña}, Adv. Comput. Math. 45, No. 5--6, 3137--3172 (2019; Zbl 1462.65025) Full Text: DOI
Ehler, Martin; Gräf, Manuel; Oates, Chris. J. Optimal Monte Carlo integration on closed manifolds. (English) Zbl 1436.62724 Stat. Comput. 29, No. 6, 1203-1214 (2019). MSC: 62R30 62F15 65C05 41A55 53C20 PDF BibTeX XML Cite \textit{M. Ehler} et al., Stat. Comput. 29, No. 6, 1203--1214 (2019; Zbl 1436.62724) Full Text: DOI arXiv
Bos, Len; Vianello, Marco Tchakaloff polynomial meshes. (English) Zbl 1431.41004 Ann. Pol. Math. 122, No. 3, 221-231 (2019). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A17 41A63 PDF BibTeX XML Cite \textit{L. Bos} and \textit{M. Vianello}, Ann. Pol. Math. 122, No. 3, 221--231 (2019; Zbl 1431.41004) Full Text: DOI Link
Themistoclakis, Woula; Van Barel, Marc Uniform approximation on the sphere by least squares polynomials. (English) Zbl 1435.65033 Numer. Algorithms 81, No. 3, 1089-1111 (2019). MSC: 65D15 41A10 65D32 PDF BibTeX XML Cite \textit{W. Themistoclakis} and \textit{M. Van Barel}, Numer. Algorithms 81, No. 3, 1089--1111 (2019; Zbl 1435.65033) Full Text: DOI arXiv Link
Cavoretto, Roberto; De Rossi, Alessandra; Dell’Accio, Francesco; Di Tommaso, Filomena Fast computation of triangular Shepard interpolants. (English) Zbl 1431.65011 J. Comput. Appl. Math. 354, 457-470 (2019). MSC: 65D05 65D15 41A05 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., J. Comput. Appl. Math. 354, 457--470 (2019; Zbl 1431.65011) Full Text: DOI
Romani, Lucia Local cardinal interpolation by \(C^2\) cubic B2-splines with a tunable shape parameter. (English) Zbl 1411.65029 Appl. Math. Lett. 94, 13-20 (2019). MSC: 65D07 41A05 41A15 65D05 PDF BibTeX XML Cite \textit{L. Romani}, Appl. Math. Lett. 94, 13--20 (2019; Zbl 1411.65029) Full Text: DOI
Piazzon, Federico Pluripotential numerics. (English) Zbl 1416.65077 Constr. Approx. 49, No. 2, 227-263 (2019). MSC: 65E05 41A10 32U35 42C05 PDF BibTeX XML Cite \textit{F. Piazzon}, Constr. Approx. 49, No. 2, 227--263 (2019; Zbl 1416.65077) Full Text: DOI arXiv
Grabner, Peter J.; Stepanyuk, Tetiana A. Comparison of probabilistic and deterministic point sets on the sphere. (English) Zbl 1409.41013 J. Approx. Theory 239, 128-143 (2019). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A55 41A63 33C45 PDF BibTeX XML Cite \textit{P. J. Grabner} and \textit{T. A. Stepanyuk}, J. Approx. Theory 239, 128--143 (2019; Zbl 1409.41013) Full Text: DOI arXiv
De Bonis, Maria Carmela; Occorsio, Donatella Error bounds for a Gauss-type quadrature rule to evaluate hypersingular integrals. (English) Zbl 1499.65085 Filomat 32, No. 7, 2525-2543 (2018). MSC: 65D32 65R20 41A10 PDF BibTeX XML Cite \textit{M. C. De Bonis} and \textit{D. Occorsio}, Filomat 32, No. 7, 2525--2543 (2018; Zbl 1499.65085) Full Text: DOI
Allasia, Giampietro; Cavoretto, Roberto; De Rossi, Alessandra Hermite-Birkhoff interpolation on scattered data on the sphere and other manifolds. (English) Zbl 1426.65011 Appl. Math. Comput. 318, 35-50 (2018). MSC: 65D05 41A05 65D10 41A63 PDF BibTeX XML Cite \textit{G. Allasia} et al., Appl. Math. Comput. 318, 35--50 (2018; Zbl 1426.65011) Full Text: DOI arXiv
Sommariva, Alvise; Vianello, Marco Nearly optimal nested sensors location for polynomial regression on complex geometries. (English) Zbl 1421.94025 Sampl. Theory Signal Image Process. 17, No. 1, 95-101 (2018). MSC: 94A20 62J02 41A10 65D32 PDF BibTeX XML Cite \textit{A. Sommariva} and \textit{M. Vianello}, Sampl. Theory Signal Image Process. 17, No. 1, 95--101 (2018; Zbl 1421.94025) Full Text: Link
Occorsio, Maria Carmela De Bonis Donatella A product integration rule for hypersingular integrals on \((0,+\infty)\). (English) Zbl 1415.65063 ETNA, Electron. Trans. Numer. Anal. 50, 129-143 (2018). MSC: 65D32 65R20 41A10 PDF BibTeX XML Cite \textit{M. C. De B. D. Occorsio}, ETNA, Electron. Trans. Numer. Anal. 50, 129--143 (2018; Zbl 1415.65063) Full Text: DOI Link
Womersley, Robert S. Efficient spherical designs with good geometric properties. (English) Zbl 1405.65033 Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer (ISBN 978-3-319-72455-3/hbk; 978-3-319-72456-0/ebook). 1243-1285 (2018). MSC: 65D32 41A55 41A10 05B30 PDF BibTeX XML Cite \textit{R. S. Womersley}, in: Contemporary computational mathematics -- a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer. 1243--1285 (2018; Zbl 1405.65033) Full Text: DOI arXiv
Kolomoitsev, Yurii; Lomako, Tetiana; Prestin, Jürgen On \(L_p\)-error of bivariate polynomial interpolation on the square. (English) Zbl 1456.41001 J. Approx. Theory 229, 13-35 (2018). MSC: 41A05 41A25 42A15 PDF BibTeX XML Cite \textit{Y. Kolomoitsev} et al., J. Approx. Theory 229, 13--35 (2018; Zbl 1456.41001) Full Text: DOI arXiv
Senger, Steven; Sun, Xingping; Wu, Zongmin Optimal order Jackson type inequality for scaled Shepard approximation. (English) Zbl 1384.41009 J. Approx. Theory 227, 37-50 (2018). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A17 41A35 41A36 41A46 PDF BibTeX XML Cite \textit{S. Senger} et al., J. Approx. Theory 227, 37--50 (2018; Zbl 1384.41009) Full Text: DOI arXiv
Dell’Accio, F.; Di Tommaso, F.; Nouisser, O.; Zerroudi, B. Increasing the approximation order of the triangular Shepard method. (English) Zbl 1380.65028 Appl. Numer. Math. 126, 78-91 (2018). MSC: 65D05 41A05 41A10 41A63 PDF BibTeX XML Cite \textit{F. Dell'Accio} et al., Appl. Numer. Math. 126, 78--91 (2018; Zbl 1380.65028) Full Text: DOI
Dencker, Peter; Erb, Wolfgang; Kolomoitsev, Yurii; Lomako, Tetiana Lebesgue constants for polyhedral sets and polynomial interpolation on Lissajous-Chebyshev nodes. (English) Zbl 1371.41003 J. Complexity 43, 1-27 (2017). MSC: 41A05 41A10 41A63 PDF BibTeX XML Cite \textit{P. Dencker} et al., J. Complexity 43, 1--27 (2017; Zbl 1371.41003) Full Text: DOI arXiv
Floater, Michael S. Polynomial interpolation on interlacingrectangular grids. (English) Zbl 1373.65010 J. Approx. Theory 222, 64-73 (2017). MSC: 65D05 41A05 41A10 41A63 65D25 65F40 PDF BibTeX XML Cite \textit{M. S. Floater}, J. Approx. Theory 222, 64--73 (2017; Zbl 1373.65010) Full Text: DOI
Dencker, Peter; Erb, Wolfgang Multivariate polynomial interpolation on Lissajous-Chebyshev nodes. (English) Zbl 1367.41023 J. Approx. Theory 219, 15-45 (2017). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 41A05 PDF BibTeX XML Cite \textit{P. Dencker} and \textit{W. Erb}, J. Approx. Theory 219, 15--45 (2017; Zbl 1367.41023) Full Text: DOI arXiv