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Mhaskar, Hrushikesh N.

Author ID: mhaskar.hrushikesh-n Recent zbMATH articles by "Mhaskar, Hrushikesh N."
Published as: Mhaskar, H. N.; Mhaskar, Hrushikesh N.; Mhaskar, Hrushikesh
External Links: MGP
all top 5

Serials

15 Journal of Approximation Theory
14 Applied and Computational Harmonic Analysis
7 Journal of Complexity
7 Advances in Computational Mathematics
5 Mathematics of Computation
5 Constructive Approximation
4 Journal of Mathematical Analysis and Applications
4 Neural Networks
4 The Journal of Fourier Analysis and Applications
3 Journal of Computational Physics
3 Transactions of the American Mathematical Society
3 SIAM Journal on Mathematical Analysis
3 GEM - International Journal on Geomathematics
2 International Journal of Mathematics and Mathematical Sciences
2 Proceedings of the American Mathematical Society
2 SIAM Journal on Numerical Analysis
2 Advances in Applied Mathematics
2 Acta Mathematica Hungarica
2 Bulletin of the American Mathematical Society. New Series
2 ETNA. Electronic Transactions on Numerical Analysis
2 Applied and Numerical Harmonic Analysis
1 Inverse Problems
1 Arkiv för Matematik
1 Applied Mathematics and Computation
1 Canadian Mathematical Bulletin
1 Indian Journal of Mathematics
1 Journal of Computational and Applied Mathematics
1 Monatshefte für Mathematik
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 SIAM Journal on Control and Optimization
1 Circuits, Systems, and Signal Processing
1 Approximation Theory and its Applications
1 Neural Computation
1 IBM Journal of Research and Development
1 Indagationes Mathematicae. New Series
1 Communications on Pure and Applied Analysis
1 Analysis and Applications (Singapore)
1 Series in Approximations and Decompositions
1 Pure and Applied Mathematics (Boca Raton)
1 Jaen Journal on Approximation
1 Bulletin of Mathematical Sciences

Publications by Year

Citations contained in zbMATH Open

126 Publications have been cited 1,849 times in 945 Documents Cited by Year
Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials). Zbl 0582.41009
Mhaskar, H. N.; Saff, E. B.
101
1985
Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature. Zbl 0980.76070
Mhaskar, H. N.; Narcowich, F. J.; Ward, J. D.
95
2001
Extremal problems for polynomials with exponential weights. Zbl 0546.41014
Mhaskar, H. N.; Saff, E. B.
83
1984
Approximation by superposition of sigmoidal and radial basis functions. Zbl 0763.41015
Mhaskar, H. N.; Micchelli, Charles A.
80
1992
Introduction to the theory of weighted polynomial approximation. Zbl 0948.41500
Mhaskar, H. N.
74
1996
Deep vs. shallow networks: an approximation theory perspective. Zbl 1355.68233
Mhaskar, H. N.; Poggio, T.
70
2016
Degree of approximation by neural and translation networks with a single hidden layer. Zbl 0885.42012
Mhaskar, H. N.; Micchelli, Charles A.
57
1995
Approximation properties of a multilayered feedforward artificial neural network. Zbl 0824.41011
Mhaskar, H. N.
54
1993
A proof of Freud’s conjecture for exponential weights. Zbl 0653.42024
Lubinsky, D. S.; Mhaskar, H. N.; Saff, E. B.
51
1988
Diffusion polynomial frames on metric measure spaces. Zbl 1242.42027
Maggioni, M.; Mhaskar, H. N.
48
2008
Marcinkiewicz-Zygmund measures on manifolds. Zbl 1235.58007
Filbir, F.; Mhaskar, H. N.
43
2011
Localized linear polynomial operators and quadrature formulas on the sphere. Zbl 1190.65039
Le Gia, Q. T.; Mhaskar, H. N.
40
2009
A quadrature formula for diffusion polynomials corresponding to a generalized heat kernel. Zbl 1204.41005
Filbir, F.; Mhaskar, H. N.
40
2010
Approximation properties of zonal function networks using scattered data on the sphere. Zbl 0939.41012
Mhaskar, H. N.; Narcowich, F. J.; Ward, J. D.
35
1999
On trigonometric wavelets. Zbl 0780.42020
Chui, C. K.; Mhaskar, H. N.
33
1993
Neural networks for localized approximation. Zbl 0806.41020
Chui, C. K.; Li, Xin; Mhaskar, H. N.
33
1994
On the distribution of zeros of polynomials orthogonal on the unit circle. Zbl 0721.42014
Mhaskar, H. N.; Saff, E. B.
32
1990
On the detection of singularities of a periodic function. Zbl 0937.42014
Mhaskar, H. N.; Prestin, J.
31
2000
Eignets for function approximation on manifolds. Zbl 1201.41003
Mhaskar, H. N.
30
2010
Fundamentals of approximation theory. Zbl 0964.41001
Mhaskar, Hrushikesh N.; Pai, Devidas V.
27
2000
\(L^p\) Bernstein estimates and approximation by spherical basis functions. Zbl 1200.41019
Mhaskar, H. N.; Narcowich, F. J.; Prestin, J.; Ward, J. D.
25
2010
On the tractability of multivariate integration and approximation by neural networks. Zbl 1344.65036
Mhaskar, H. N.
24
2004
Weighted quadrature formulas and approximation by zonal function networks on the sphere. Zbl 1103.65028
Mhaskar, H. N.
24
2006
On the representation of smooth functions on the sphere using finitely many bits. Zbl 1082.41020
Mhaskar, H. N.
24
2005
Bounds for certain Freud-type orthogonal polynomials. Zbl 0716.42020
Mhaskar, H. N.
24
1990
Signal decomposition and analysis via extraction of frequencies. Zbl 1330.94013
Chui, Charles K.; Mhaskar, H. N.
24
2016
Polynomial frames: a fast tour. Zbl 1077.42028
Mhaskar, H. N.; Prestin, J.
23
2005
Weighted polynomial approximation. Zbl 0602.41004
Mhaskar, H. N.
21
1986
Polynomial operators and local smoothness classes on the unit interval. Zbl 1083.41004
Mhaskar, H. N.
21
2004
The distribution of zeros of asymptotically extremal polynomials. Zbl 0744.41007
Mhaskar, H. N.; Saff, E. B.
21
1991
Where does the L p-norm of a weighted polynomial live? Zbl 0636.41008
Mhaskar, H. N.; Saff, E. B.
20
1987
Limitations of the approximation capabilities of neural networks with one hidden layer. Zbl 0855.41026
Chui, C. K.; Li, Xin; Mhaskar, H. N.
20
1996
On the problem of parameter estimation in exponential sums. Zbl 1254.94015
Filbir, F.; Mhaskar, H. N.; Prestin, J.
18
2012
On local smoothness classes of periodic functions. Zbl 1096.42018
Mhaskar, H. N.; Prestin, J.
17
2005
Quadrature in Besov spaces on the Euclidean sphere. Zbl 1134.41013
Hesse, K.; Mhaskar, H. N.; Sloan, I. H.
17
2007
Weighted analogues of capacity, transfinite diameter, and Chebyshev constant. Zbl 0747.31001
Mhaskar, H. N.; Saff, E. B.
16
1992
When is approximation by Gaussian networks necessarily a linear process? Zbl 1084.68104
Mhaskar, H. N.
15
2004
Polynomial frames on the sphere. Zbl 0974.41004
Mhaskar, H. N.; Narcowich, F. J.; Prestin, J.; Ward, J. D.
14
2000
Dimension-independent bounds on the degree of approximation by neural networks. Zbl 0823.41012
Mhaskar, H. N.; Micchelli, C. A.
14
1994
Polynomial operators and local approximation of solutions of pseudo-differential equations on the sphere. Zbl 1090.65133
Le Gia, Q. T.; Mhaskar, H. N.
14
2006
Weighted polynomials on finite and infinite intervals: A unified approach. Zbl 0565.41017
Mhaskar, H. N.; Saff, E. B.
12
1984
A generalized diffusion frame for parsimonious representation of functions on data defined manifolds. Zbl 1222.42036
Mhaskar, H. N.
11
2011
Approximation with interpolatory constraints. Zbl 0993.41005
Mhaskar, H. N.; Narcowich, F. J.; Sivakumar, N.; Ward, J. D.
11
2002
On a filter for exponentially localized kernels based on Jacobi polynomials. Zbl 1203.42038
Filbir, F.; Mhaskar, H. N.; Prestin, J.
11
2009
Polynomial operators for spectral approximation of piecewise analytic functions. Zbl 1161.41008
Mhaskar, H. N.; Prestin, J.
11
2009
Minimum Sobolev norm interpolation with trigonometric polynomials on the torus. Zbl 1302.41001
Chandrasekaran, S.; Jayaraman, K. R.; Mhaskar, H. N.
11
2013
Representation of functions on big data: graphs and trees. Zbl 1329.62033
Chui, C. K.; Filbir, F.; Mhaskar, H. N.
11
2015
Extremal problems for polynomials with Laguerre weights. Zbl 0574.41014
Mhaskar, H. N.; Saff, E. B.
10
1983
A general discrepancy theorem. Zbl 0797.30032
Blatt, H.-P.; Mhaskar, H. N.
10
1993
Local quadrature formulas on the sphere. Zbl 1074.41025
Mhaskar, H. N.
9
2004
Representation of functions on big data associated with directed graphs. Zbl 1378.68134
Chui, Charles K.; Mhaskar, H. N.; Zhuang, Xiaosheng
9
2018
Data-driven atomic decomposition via frequency extraction of intrinsic mode functions. Zbl 1361.94023
Chui, Charles K.; Mhaskar, H. N.; van der Walt, Maria D.
9
2016
Weighted polynomial approximation in rearrangement invariant Banach function spaces on the whole real line. Zbl 0516.41004
Freud, G.; Mhaskar, H. N.
8
1980
A Markov-Bernstein inequality for Gaussian networks. Zbl 1077.41011
Mhaskar, H. N.
8
2005
Freud’s conjecture for exponential weights. Zbl 0606.42018
Lubinsky, D. S.; Mhaskar, H. N.; Saff, E. B.
8
1986
Local quadrature formulas on the sphere. II. Zbl 1098.41029
Mhaskar, H. N.
8
2004
Local numerical integration on the sphere. Zbl 1305.65106
Beckmann, J.; Mhaskar, H. N.; Prestin, J.
8
2014
The rate of monotone spline approximation in the \(L_p\)-norm. Zbl 0516.41010
Leviatan, D.; Mhaskar, H. N.
7
1982
On Marcinkiewicz-Zygmund-type inequalities. Zbl 0901.41011
Mhaskar, H. N.; Prestin, J.
7
1998
Polynomials with Laguerre weights in \(L^ p\). Zbl 0565.41018
Mhaskar, H. N.; Saff, E. B.
7
1984
A unified framework for harmonic analysis of functions on directed graphs and changing data. Zbl 1395.42066
Mhaskar, H. N.
7
2018
Polynomial frames for the detection of singularities. Zbl 0962.42020
Mhaskar, H. N.; Prestin, J.
7
2000
Polynomial operators and local smoothness classes on the unit interval. II. Zbl 1181.41047
Mhaskar, H. N.
7
2009
Smooth function extension based on high dimensional unstructured data. Zbl 1297.41002
Chui, Charles K.; Mhaskar, H. N.
7
2014
Approximation theory and neural networks. Zbl 1037.41011
Mhaskar, H. N.
7
2001
Function approximation by deep networks. Zbl 1442.62215
Mhaskar, H. N.; Poggio, T.
7
2020
Weighted polynomial approximation of entire functions. II. Zbl 0475.41003
Mhaskar, H. N.
6
1981
Neural networks for functional approximation and system identification. Zbl 0872.68153
Mhaskar, H. N.; Hahm, Nahmwoo
6
1997
Quadrature formulas for integration of multivariate trigonometric polynomials on spherical triangles. Zbl 1258.65028
Beckmann, J.; Mhaskar, H. N.; Prestin, J.
6
2012
Extensions of the Dirichlet-Jordan criterion to a general class of orthogonal polynomial expansions. Zbl 0545.42020
Mhaskar, H. N.
5
1984
Filtered Legendre expansion method for numerical differentiation at the boundary point with application to blood glucose predictions. Zbl 1334.65058
Mhaskar, Hrushikesh N.; Naumova, V.; Pereverzyev, S. V.
5
2013
On the degree of approximation in multivariate weighted approximation. Zbl 1068.41053
Mhaskar, H. N.
5
2003
On the representation of band limited functions using finitely many bits. Zbl 1010.41016
Mhaskar, H. N.
5
2002
Stable soft extrapolation of entire functions. Zbl 1421.65032
Batenkov, Dmitry; Demanet, Laurent; Mhaskar, Hrushikesh N.
5
2019
Approximate quadrature measures on data-defined spaces. Zbl 1405.65030
Mhaskar, Hrushikesh N.
5
2018
Some discrepancy theorems. Zbl 0656.41003
Mhaskar, H. N.
4
1987
Matrix-free interpolation on the sphere. Zbl 1119.33012
Ganesh, M.; Mhaskar, H. N.
4
2006
Weighted polynomial approximation of entire functions. I. Zbl 0489.41011
Mhaskar, H. N.
4
1982
On the domain of convergence of series in polynomials orthogonal with respect to general weight functions on the whole real line. Zbl 0556.30002
Mhaskar, H. N.
4
1984
Wiener type theorems for Jacobi series with nonnegative coefficients. Zbl 1250.42084
Mhaskar, H. N.; Tikhonov, S.
4
2012
The rate of convergence of expansions in Freud polynomials. Zbl 0698.41004
Mhaskar, H. N.
4
1988
Function approximation with zonal function networks with activation functions analogous to the rectified linear unit functions. Zbl 1409.41008
Mhaskar, H. N.
4
2019
A unified method for super-resolution recovery and real exponential-sum separation. Zbl 1414.85002
Chui, Charles K.; Mhaskar, H. N.
4
2019
A quantitative Dirichlet-Jordan type theorem for orthogonal polynomial expansions. Zbl 0634.42021
Mhaskar, H. N.
3
1988
Errata to “Where does the L p-norm of a weighted polynomial live?”. Zbl 0648.41005
Mhaskar, H. N.; Saff, E. B.
3
1988
Open problems in constructive function theory. Zbl 1107.41011
Baratchart, L.; Martínez-Finkelshtein, A.; Jimenez, D.; Lubinsky, D. S.; Mhaskar, H. N.; Pritsker, I.; Putinar, M.; Stylianopoulos, N.; Totik, V.; Varju, P.; Xu, Y.
3
2006
Weighted analogues of Nikolskij-type inequalities and their applications. Zbl 0512.42001
Mhaskar, H. N.
3
1983
Approximation of real functions using neural networks. Zbl 0839.65019
Mhaskar, H. N.
3
1994
A local discrepancy theorem. Zbl 1013.42017
Andrievskii, V. V.; Blatt, H.-P.; Mhaskar, H. N.
3
2001
Bounded quasi-interpolatory polynomial operators. Zbl 0920.42019
Mhaskar, H. N.; Prestin, J.
3
1999
On a build-up polynomial frame for the detection of singularities. Zbl 0992.42025
Mhaskar, H. N.; Prestin, J.
3
1999
A Weierstrass-type theorem for certain weighted polynomials. Zbl 0578.41007
Mhaskar, H. N.; Saff, E. B.
3
1985
Mean convergence of expansions in Freud-type orthogonal polynomials. Zbl 0737.42024
Mhaskar, H. N.; Xu, Y.
3
1991
Weighted polynomials, radial basis functions and potentials on locally compact spaces. Zbl 0744.31004
Mhaskar, H. N.
3
1991
Detection of singularities using segment approximation. Zbl 0766.41007
Grothmann, R.; Mhaskar, H. N.
3
1992
Hermite interpolation at the zeros of certain Freud-type orthogonal polynomials. Zbl 0782.41005
Mhaskar, H. N.; Xu, Y.
3
1992
Frames and other bases in abstract and function spaces. Novel methods in harmonic analysis. Volume 1. Zbl 1373.42002
3
2017
Local approximation using Hermite functions. Zbl 1369.41003
Mhaskar, H. N.
3
2017
A Fourier-invariant method for locating point-masses and computing their attributes. Zbl 1395.42071
Chui, Charles K.; Mhaskar, H. N.
3
2018
Quadrature-free quasi-interpolation on the sphere. Zbl 1160.42301
Ganesh, M.; Mhaskar, H. N.
2
2006
Local approximation of operators. Zbl 1510.41014
Mhaskar, H. N.
1
2023
Cautious active clustering. Zbl 1467.62114
Cloninger, A.; Mhaskar, H. N.
2
2021
A low discrepancy sequence on graphs. Zbl 1472.05136
Cloninger, A.; Mhaskar, H. N.
2
2021
Function approximation by deep networks. Zbl 1442.62215
Mhaskar, H. N.; Poggio, T.
7
2020
An analysis of training and generalization errors in shallow and deep networks. Zbl 1434.68513
Mhaskar, H. N.; Poggio, T.
2
2020
A direct approach for function approximation on data defined manifolds. Zbl 1475.68319
Mhaskar, H. N.
1
2020
Stable soft extrapolation of entire functions. Zbl 1421.65032
Batenkov, Dmitry; Demanet, Laurent; Mhaskar, Hrushikesh N.
5
2019
Function approximation with zonal function networks with activation functions analogous to the rectified linear unit functions. Zbl 1409.41008
Mhaskar, H. N.
4
2019
A unified method for super-resolution recovery and real exponential-sum separation. Zbl 1414.85002
Chui, Charles K.; Mhaskar, H. N.
4
2019
Super-resolution meets machine learning: approximation of measures. Zbl 1436.94018
Mhaskar, H. N.
1
2019
Representation of functions on big data associated with directed graphs. Zbl 1378.68134
Chui, Charles K.; Mhaskar, H. N.; Zhuang, Xiaosheng
9
2018
A unified framework for harmonic analysis of functions on directed graphs and changing data. Zbl 1395.42066
Mhaskar, H. N.
7
2018
Approximate quadrature measures on data-defined spaces. Zbl 1405.65030
Mhaskar, Hrushikesh N.
5
2018
A Fourier-invariant method for locating point-masses and computing their attributes. Zbl 1395.42071
Chui, Charles K.; Mhaskar, H. N.
3
2018
Frames and other bases in abstract and function spaces. Novel methods in harmonic analysis. Volume 1. Zbl 1373.42002
3
2017
Local approximation using Hermite functions. Zbl 1369.41003
Mhaskar, H. N.
3
2017
Recent applications of harmonic analysis to function spaces, differential equations, and data science. Novel methods in harmonic analysis. Volume 2. Zbl 1378.42001
2
2017
Deep vs. shallow networks: an approximation theory perspective. Zbl 1355.68233
Mhaskar, H. N.; Poggio, T.
70
2016
Signal decomposition and analysis via extraction of frequencies. Zbl 1330.94013
Chui, Charles K.; Mhaskar, H. N.
24
2016
Data-driven atomic decomposition via frequency extraction of intrinsic mode functions. Zbl 1361.94023
Chui, Charles K.; Mhaskar, H. N.; van der Walt, Maria D.
9
2016
Localized summability kernels for Jacobi expansions. Zbl 1440.42014
Mhaskar, H. N.
1
2016
Representation of functions on big data: graphs and trees. Zbl 1329.62033
Chui, C. K.; Filbir, F.; Mhaskar, H. N.
11
2015
A minimum Sobolev norm technique for the numerical discretization of PDEs. Zbl 1352.65480
Chandrasekaran, S.; Mhaskar, H. N.
2
2015
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
Local numerical integration on the sphere. Zbl 1305.65106
Beckmann, J.; Mhaskar, H. N.; Prestin, J.
8
2014
Smooth function extension based on high dimensional unstructured data. Zbl 1297.41002
Chui, Charles K.; Mhaskar, H. N.
7
2014
Minimum Sobolev norm interpolation with trigonometric polynomials on the torus. Zbl 1302.41001
Chandrasekaran, S.; Jayaraman, K. R.; Mhaskar, H. N.
11
2013
Filtered Legendre expansion method for numerical differentiation at the boundary point with application to blood glucose predictions. Zbl 1334.65058
Mhaskar, Hrushikesh N.; Naumova, V.; Pereverzyev, S. V.
5
2013
Applications of classical approximation theory to periodic basis function networks and computational harmonic analysis. Zbl 1281.93110
Mhaskar, Hrushikesh N.; Nevai, Paul; Shvarts, Eugene
1
2013
On the problem of parameter estimation in exponential sums. Zbl 1254.94015
Filbir, F.; Mhaskar, H. N.; Prestin, J.
18
2012
Quadrature formulas for integration of multivariate trigonometric polynomials on spherical triangles. Zbl 1258.65028
Beckmann, J.; Mhaskar, H. N.; Prestin, J.
6
2012
Wiener type theorems for Jacobi series with nonnegative coefficients. Zbl 1250.42084
Mhaskar, H. N.; Tikhonov, S.
4
2012
Marcinkiewicz-Zygmund measures on manifolds. Zbl 1235.58007
Filbir, F.; Mhaskar, H. N.
43
2011
A generalized diffusion frame for parsimonious representation of functions on data defined manifolds. Zbl 1222.42036
Mhaskar, H. N.
11
2011
A quadrature formula for diffusion polynomials corresponding to a generalized heat kernel. Zbl 1204.41005
Filbir, F.; Mhaskar, H. N.
40
2010
Eignets for function approximation on manifolds. Zbl 1201.41003
Mhaskar, H. N.
30
2010
\(L^p\) Bernstein estimates and approximation by spherical basis functions. Zbl 1200.41019
Mhaskar, H. N.; Narcowich, F. J.; Prestin, J.; Ward, J. D.
25
2010
MRA contextual-recovery extension of smooth functions on manifolds. Zbl 1198.94025
Chui, Charles K.; Mhaskar, H. N.
2
2010
Localized linear polynomial operators and quadrature formulas on the sphere. Zbl 1190.65039
Le Gia, Q. T.; Mhaskar, H. N.
40
2009
On a filter for exponentially localized kernels based on Jacobi polynomials. Zbl 1203.42038
Filbir, F.; Mhaskar, H. N.; Prestin, J.
11
2009
Polynomial operators for spectral approximation of piecewise analytic functions. Zbl 1161.41008
Mhaskar, H. N.; Prestin, J.
11
2009
Polynomial operators and local smoothness classes on the unit interval. II. Zbl 1181.41047
Mhaskar, H. N.
7
2009
Diffusion polynomial frames on metric measure spaces. Zbl 1242.42027
Maggioni, M.; Mhaskar, H. N.
48
2008
Quadrature in Besov spaces on the Euclidean sphere. Zbl 1134.41013
Hesse, K.; Mhaskar, H. N.; Sloan, I. H.
17
2007
On bounded interpolatory and quasi-interpolatory polynomial operators. Zbl 1194.41009
Mhaskar, H. N.
1
2007
Weighted quadrature formulas and approximation by zonal function networks on the sphere. Zbl 1103.65028
Mhaskar, H. N.
24
2006
Polynomial operators and local approximation of solutions of pseudo-differential equations on the sphere. Zbl 1090.65133
Le Gia, Q. T.; Mhaskar, H. N.
14
2006
Matrix-free interpolation on the sphere. Zbl 1119.33012
Ganesh, M.; Mhaskar, H. N.
4
2006
Open problems in constructive function theory. Zbl 1107.41011
Baratchart, L.; Martínez-Finkelshtein, A.; Jimenez, D.; Lubinsky, D. S.; Mhaskar, H. N.; Pritsker, I.; Putinar, M.; Stylianopoulos, N.; Totik, V.; Varju, P.; Xu, Y.
3
2006
Quadrature-free quasi-interpolation on the sphere. Zbl 1160.42301
Ganesh, M.; Mhaskar, H. N.
2
2006
On the representation of smooth functions on the sphere using finitely many bits. Zbl 1082.41020
Mhaskar, H. N.
24
2005
Polynomial frames: a fast tour. Zbl 1077.42028
Mhaskar, H. N.; Prestin, J.
23
2005
On local smoothness classes of periodic functions. Zbl 1096.42018
Mhaskar, H. N.; Prestin, J.
17
2005
A Markov-Bernstein inequality for Gaussian networks. Zbl 1077.41011
Mhaskar, H. N.
8
2005
On the tractability of multivariate integration and approximation by neural networks. Zbl 1344.65036
Mhaskar, H. N.
24
2004
Polynomial operators and local smoothness classes on the unit interval. Zbl 1083.41004
Mhaskar, H. N.
21
2004
When is approximation by Gaussian networks necessarily a linear process? Zbl 1084.68104
Mhaskar, H. N.
15
2004
Local quadrature formulas on the sphere. Zbl 1074.41025
Mhaskar, H. N.
9
2004
Local quadrature formulas on the sphere. II. Zbl 1098.41029
Mhaskar, H. N.
8
2004
On the representation of band-dominant functions on the sphere using finitely many bits. Zbl 1058.41019
Mhaskar, H. N.; Narcowich, F. J.; Ward, J. D.
1
2004
On the degree of approximation in multivariate weighted approximation. Zbl 1068.41053
Mhaskar, H. N.
5
2003
Approximation with interpolatory constraints. Zbl 0993.41005
Mhaskar, H. N.; Narcowich, F. J.; Sivakumar, N.; Ward, J. D.
11
2002
On the representation of band limited functions using finitely many bits. Zbl 1010.41016
Mhaskar, H. N.
5
2002
Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature. Zbl 0980.76070
Mhaskar, H. N.; Narcowich, F. J.; Ward, J. D.
95
2001
Approximation theory and neural networks. Zbl 1037.41011
Mhaskar, H. N.
7
2001
A local discrepancy theorem. Zbl 1013.42017
Andrievskii, V. V.; Blatt, H.-P.; Mhaskar, H. N.
3
2001
Representing and analyzing scattered data on spheres. Zbl 0990.42024
Mhaskar, H. N.; Narcowich, F. J.; Ward, J. D.
2
2001
On the detection of singularities of a periodic function. Zbl 0937.42014
Mhaskar, H. N.; Prestin, J.
31
2000
Fundamentals of approximation theory. Zbl 0964.41001
Mhaskar, Hrushikesh N.; Pai, Devidas V.
27
2000
Polynomial frames on the sphere. Zbl 0974.41004
Mhaskar, H. N.; Narcowich, F. J.; Prestin, J.; Ward, J. D.
14
2000
Polynomial frames for the detection of singularities. Zbl 0962.42020
Mhaskar, H. N.; Prestin, J.
7
2000
Quasi-interpolation in shift invariant spaces. Zbl 0981.41002
Mhaskar, H. N.; Narcowich, F. J.; Ward, J. D.
2
2000
Approximation properties of zonal function networks using scattered data on the sphere. Zbl 0939.41012
Mhaskar, H. N.; Narcowich, F. J.; Ward, J. D.
35
1999
Bounded quasi-interpolatory polynomial operators. Zbl 0920.42019
Mhaskar, H. N.; Prestin, J.
3
1999
On a build-up polynomial frame for the detection of singularities. Zbl 0992.42025
Mhaskar, H. N.; Prestin, J.
3
1999
On a sequence of fast decreasing polynomial operators. Zbl 0943.41008
Mhaskar, Hrushikesh N.; Prestin, Jürgen
2
1999
On Marcinkiewicz-Zygmund-type inequalities. Zbl 0901.41011
Mhaskar, H. N.; Prestin, J.
7
1998
Neural networks for functional approximation and system identification. Zbl 0872.68153
Mhaskar, H. N.; Hahm, Nahmwoo
6
1997
Introduction to the theory of weighted polynomial approximation. Zbl 0948.41500
Mhaskar, H. N.
74
1996
Limitations of the approximation capabilities of neural networks with one hidden layer. Zbl 0855.41026
Chui, C. K.; Li, Xin; Mhaskar, H. N.
20
1996
Degree of approximation by neural and translation networks with a single hidden layer. Zbl 0885.42012
Mhaskar, H. N.; Micchelli, Charles A.
57
1995
A discrepancy theorem concerning polynomials of best approximation in \(L^ p_ w [-1, 1]\). Zbl 0831.41005
Blatt, H.-P.; Mhaskar, H. N.
1
1995
Neural networks for localized approximation. Zbl 0806.41020
Chui, C. K.; Li, Xin; Mhaskar, H. N.
33
1994
Dimension-independent bounds on the degree of approximation by neural networks. Zbl 0823.41012
Mhaskar, H. N.; Micchelli, C. A.
14
1994
Approximation of real functions using neural networks. Zbl 0839.65019
Mhaskar, H. N.
3
1994
Approximation properties of a multilayered feedforward artificial neural network. Zbl 0824.41011
Mhaskar, H. N.
54
1993
On trigonometric wavelets. Zbl 0780.42020
Chui, C. K.; Mhaskar, H. N.
33
1993
A general discrepancy theorem. Zbl 0797.30032
Blatt, H.-P.; Mhaskar, H. N.
10
1993
Weighted polynomial approximation of entire functions on unbounded subsets of the complex plane. Zbl 0807.30023
Mhaskar, H. N.
2
1993
Approximation by superposition of sigmoidal and radial basis functions. Zbl 0763.41015
Mhaskar, H. N.; Micchelli, Charles A.
80
1992
Weighted analogues of capacity, transfinite diameter, and Chebyshev constant. Zbl 0747.31001
Mhaskar, H. N.; Saff, E. B.
16
1992
Detection of singularities using segment approximation. Zbl 0766.41007
Grothmann, R.; Mhaskar, H. N.
3
1992
Hermite interpolation at the zeros of certain Freud-type orthogonal polynomials. Zbl 0782.41005
Mhaskar, H. N.; Xu, Y.
3
1992
On multivariate robust stability. Zbl 0762.93065
Chui, Charles K.; Mhaskar, H. N.
1
1992
The distribution of zeros of asymptotically extremal polynomials. Zbl 0744.41007
Mhaskar, H. N.; Saff, E. B.
21
1991
Mean convergence of expansions in Freud-type orthogonal polynomials. Zbl 0737.42024
Mhaskar, H. N.; Xu, Y.
3
1991
Weighted polynomials, radial basis functions and potentials on locally compact spaces. Zbl 0744.31004
Mhaskar, H. N.
3
1991
The convergence of Fourier series and a K-functional. Zbl 0731.42007
Mhaskar, H. N.
1
1991
On the distribution of zeros of polynomials orthogonal on the unit circle. Zbl 0721.42014
Mhaskar, H. N.; Saff, E. B.
32
1990
Bounds for certain Freud-type orthogonal polynomials. Zbl 0716.42020
Mhaskar, H. N.
24
1990
...and 26 more Documents
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Cited by 1,002 Authors

80 Mhaskar, Hrushikesh N.
54 Lubinsky, Doron S.
31 Saff, Edward Barry
19 Chui, Charles Kam-tai
17 Cao, Feilong
16 Prestin, Jurgen
16 Sloan, Ian Hugh
14 Costarelli, Danilo
14 Lin, Shaobo
13 Damelin, Steven Benjamin
12 Narcowich, Francis J.
12 Ward, Joseph Dinneen
12 Xu, Zongben
11 Potts, Daniel
11 Wang, Heping
11 Wang, Yuguang
10 Ehler, Martin
10 Filbir, Frank-Dieter
10 Kůrková, Věra
9 Gräf, Manuel
9 Pesenson, Isaac Zalmanovich
8 Brauchart, Johann S.
8 Jiang, Qingtang
8 Levin, Eli
8 Van Assche, Walter
8 Womersley, Robert S.
7 Chen, Yang
7 Dai, Feng
7 Ismail, Mourad El-Houssieny
7 Le Gia, Quoc Thong
7 Levin, A. L.
7 Li, Lin
7 Nevai, Paul G.
7 Petersen, Philipp Christian
7 Pritsker, Igor E.
7 Sanguineti, Marcello
7 Spigler, Renato
7 Totik, Vilmos
7 Yu, Dansheng
7 Zhou, Dingxuan
6 An, Congpei
6 Bello Hernández, Manuel
6 Ditzian, Zeev
6 Dragnev, Peter D.
6 Hesse, Kerstin
6 Horváth, Ágota P.
6 Kainen, Paul C.
6 Kunis, Stefan
6 Martínez-Finkelshtein, Andrei
6 Orive Rodríguez, Ramón Angel
6 Plonka, Gerlind
6 Sakai, Ryozi
6 Schwab, Christoph
6 Sheng, Baohuai
6 Zhuang, Xiaosheng
5 Alfaro, María Pilar
5 Blatt, Hans-Peter
5 Chen, Zhixiang
5 Cloninger, Alexander
5 Daubechies, Ingrid Chantal
5 Goh, Say Song
5 Grohs, Philipp
5 Hangelbroek, Thomas C.
5 Ismailov, Vugar E.
5 Jentzen, Arnulf
5 Kohler, Michael
5 Kuijlaars, Arno B. J.
5 Kutyniok, Gitta
5 Lu, Jian
5 Montaner, Jesús María
5 Occorsio, Donatella
5 Sandberg, Irwin W.
5 Shen, Zuowei
5 Sommariva, Alvise
5 Stylianopoulos, Nikos S.
5 Tikhonov, Sergey Yur’evich
5 Vianello, Marco
5 Vinti, Gianluca
5 Wu, Hao-Ning
5 Wu, Hau-Tieng
4 Anastassiou, George Angelos
4 Andrievskii, Vladimir V.
4 Aptekarev, Alexander Ivanovich
4 Batenkov, Dmitry
4 Díaz-Mendoza, Carlos
4 Erb, Wolfgang
4 Kwon, Kil Hyun
4 Li, Xin
4 López Lagomasino, Guillermo Tomás
4 Maiorov, Vitaly Evgen’evich
4 Mao, Tong
4 Mastroianni, Giuseppe
4 Narayan, Akil C.
4 Njåstad, Olav
4 Opschoor, Joost A. A.
4 Ortega-Cerdà, Joaquim
4 Pereverzev, Sergei V.
4 Poggio, Tomaso A.
4 Simon, Barry
4 Steinerberger, Stefan
...and 902 more Authors
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Cited in 226 Serials

124 Journal of Approximation Theory
51 Applied and Computational Harmonic Analysis
48 Journal of Computational and Applied Mathematics
40 Constructive Approximation
32 Neural Networks
30 Journal of Mathematical Analysis and Applications
28 Journal of Complexity
24 Advances in Computational Mathematics
20 Mathematics of Computation
20 The Journal of Fourier Analysis and Applications
17 Applied Mathematics and Computation
16 Analysis and Applications (Singapore)
12 Computers & Mathematics with Applications
12 Acta Mathematica Hungarica
11 Proceedings of the American Mathematical Society
9 Numerical Functional Analysis and Optimization
9 GEM - International Journal on Geomathematics
8 Numerical Algorithms
7 Applied Numerical Mathematics
6 Journal of Functional Analysis
6 Results in Mathematics
6 Circuits, Systems, and Signal Processing
6 Neural Computation
6 The Journal of Geometric Analysis
6 Applied Mathematics. Series B (English Edition)
6 Foundations of Computational Mathematics
5 Inverse Problems
5 Journal of Mathematical Physics
5 The Annals of Statistics
5 BIT
5 Numerische Mathematik
5 Transactions of the American Mathematical Society
5 Journal of Scientific Computing
5 Linear Algebra and its Applications
5 Journal of Mathematical Sciences (New York)
5 Acta Mathematica Sinica. English Series
5 International Journal of Wavelets, Multiresolution and Information Processing
5 Communications in Computational Physics
4 Communications in Mathematical Physics
4 Israel Journal of Mathematics
4 Journal d’Analyse Mathématique
4 Journal of Computational Physics
4 Mathematical Notes
4 Rocky Mountain Journal of Mathematics
4 Advances in Mathematics
4 Monatshefte für Mathematik
4 SIAM Journal on Numerical Analysis
4 Applied Mathematics Letters
4 Mathematical and Computer Modelling
4 Potential Analysis
4 SIAM Journal on Scientific Computing
4 The Journal of Analysis
4 Computational and Applied Mathematics
4 Analysis in Theory and Applications
3 Mathematical Methods in the Applied Sciences
3 Journal of Optimization Theory and Applications
3 Mathematische Nachrichten
3 Studies in Applied Mathematics
3 Japan Journal of Industrial and Applied Mathematics
3 Bulletin of the American Mathematical Society. New Series
3 Abstract and Applied Analysis
3 Journal of Machine Learning Research (JMLR)
3 Computational Methods and Function Theory
3 Oberwolfach Reports
3 Mathematical Geosciences
3 Random Matrices: Theory and Applications
3 Bulletin of Mathematical Sciences
3 SIAM Journal on Mathematics of Data Science
3 Sampling Theory, Signal Processing, and Data Analysis
2 Computer Methods in Applied Mechanics and Engineering
2 Automatica
2 Mathematics and Computers in Simulation
2 Mathematika
2 Memoirs of the American Mathematical Society
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Tôhoku Mathematical Journal. Second Series
2 Acta Applicandae Mathematicae
2 Acta Mathematicae Applicatae Sinica. English Series
2 Computational Mechanics
2 Journal of Integral Equations and Applications
2 International Journal of Computer Mathematics
2 SIAM Journal on Mathematical Analysis
2 Russian Mathematics
2 Russian Journal of Mathematical Physics
2 St. Petersburg Mathematical Journal
2 Annals of Mathematics and Artificial Intelligence
2 Soft Computing
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Journal of High Energy Physics
2 Multiscale Modeling & Simulation
2 Mediterranean Journal of Mathematics
2 Science in China. Series F
2 Complex Variables and Elliptic Equations
2 Proceedings of the Steklov Institute of Mathematics
2 Electronic Journal of Statistics
2 Analysis & PDE
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Statistics and Computing
2 Journal of Function Spaces
2 Advances in Data Science and Adaptive Analysis
...and 126 more Serials
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Cited in 51 Fields

451 Approximations and expansions (41-XX)
279 Harmonic analysis on Euclidean spaces (42-XX)
253 Numerical analysis (65-XX)
153 Computer science (68-XX)
111 Special functions (33-XX)
77 Functions of a complex variable (30-XX)
74 Information and communication theory, circuits (94-XX)
53 Functional analysis (46-XX)
52 Statistics (62-XX)
42 Potential theory (31-XX)
38 Partial differential equations (35-XX)
36 Biology and other natural sciences (92-XX)
31 Probability theory and stochastic processes (60-XX)
27 Real functions (26-XX)
27 Operator theory (47-XX)
26 Combinatorics (05-XX)
23 Linear and multilinear algebra; matrix theory (15-XX)
19 Systems theory; control (93-XX)
15 Abstract harmonic analysis (43-XX)
15 Operations research, mathematical programming (90-XX)
14 Ordinary differential equations (34-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
14 Global analysis, analysis on manifolds (58-XX)
14 Statistical mechanics, structure of matter (82-XX)
13 Number theory (11-XX)
13 Integral equations (45-XX)
10 Sequences, series, summability (40-XX)
8 Difference and functional equations (39-XX)
7 Measure and integration (28-XX)
6 Dynamical systems and ergodic theory (37-XX)
6 Integral transforms, operational calculus (44-XX)
6 Mechanics of deformable solids (74-XX)
6 Quantum theory (81-XX)
6 Geophysics (86-XX)
5 Convex and discrete geometry (52-XX)
5 Optics, electromagnetic theory (78-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Algebraic geometry (14-XX)
4 Differential geometry (53-XX)
4 Fluid mechanics (76-XX)
3 General and overarching topics; collections (00-XX)
3 History and biography (01-XX)
3 Commutative algebra (13-XX)
2 Group theory and generalizations (20-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Geometry (51-XX)
2 General topology (54-XX)
2 Astronomy and astrophysics (85-XX)
1 Associative rings and algebras (16-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)

Citations by Year