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Mhaskar, Hrushikesh N.

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Author ID: mhaskar.hrushikesh-n Recent zbMATH articles by "Mhaskar, Hrushikesh N."
Published as: Mhaskar, H. N.; Mhaskar, Hrushikesh; Mhaskar, Hrushikesh N.
External Links: MGP · Wikidata
Documents Indexed: 136 Publications since 1980, including 7 Books
all top 5

Serials

15 Journal of Approximation Theory
11 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
3 Journal of Computational Physics
3 Transactions of the American Mathematical Society
3 Neural Networks
3 SIAM Journal on Mathematical Analysis
3 The Journal of Fourier Analysis and Applications
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 Pure and Applied Mathematics (Boca Raton)
1 Jaen Journal on Approximation
1 Bulletin of Mathematical Sciences

Publications by Year

Citations contained in zbMATH

114 Publications have been cited 1,410 times in 712 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.
98
1985
Extremal problems for polynomials with exponential weights. Zbl 0546.41014
Mhaskar, H. N.; Saff, E. B.
81
1984
Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature. Zbl 0980.76070
Mhaskar, H. N.; Narcowich, F. J.; Ward, J. D.
76
2001
Introduction to the theory of weighted polynomial approximation. Zbl 0948.41500
Mhaskar, H. N.
64
1996
Approximation by superposition of sigmoidal and radial basis functions. Zbl 0763.41015
Mhaskar, H. N.; Micchelli, Charles A.
63
1992
Degree of approximation by neural and translation networks with a single hidden layer. Zbl 0885.42012
Mhaskar, H. N.; Micchelli, Charles A.
40
1995
A proof of Freud’s conjecture for exponential weights. Zbl 0653.42024
Lubinsky, D. S.; Mhaskar, H. N.; Saff, E. B.
39
1988
Diffusion polynomial frames on metric measure spaces. Zbl 1242.42027
Maggioni, M.; Mhaskar, H. N.
33
2008
Approximation properties of zonal function networks using scattered data on the sphere. Zbl 0939.41012
Mhaskar, H. N.; Narcowich, F. J.; Ward, J. D.
32
1999
A quadrature formula for diffusion polynomials corresponding to a generalized heat kernel. Zbl 1204.41005
Filbir, F.; Mhaskar, H. N.
31
2010
On trigonometric wavelets. Zbl 0780.42020
Chui, C. K.; Mhaskar, H. N.
31
1993
Marcinkiewicz-Zygmund measures on manifolds. Zbl 1235.58007
Filbir, F.; Mhaskar, H. N.
29
2011
On the distribution of zeros of polynomials orthogonal on the unit circle. Zbl 0721.42014
Mhaskar, H. N.; Saff, E. B.
29
1990
Localized linear polynomial operators and quadrature formulas on the sphere. Zbl 1190.65039
Le Gia, Q. T.; Mhaskar, H. N.
28
2009
On the detection of singularities of a periodic function. Zbl 0937.42014
Mhaskar, H. N.; Prestin, J.
24
2000
Bounds for certain Freud-type orthogonal polynomials. Zbl 0716.42020
Mhaskar, H. N.
24
1990
Eignets for function approximation on manifolds. Zbl 1201.41003
Mhaskar, H. N.
22
2010
Polynomial frames: a fast tour. Zbl 1077.42028
Mhaskar, H. N.; Prestin, J.
22
2005
Approximation properties of a multilayered feedforward artificial neural network. Zbl 0824.41011
Mhaskar, H. N.
22
1993
Deep vs. shallow networks: an approximation theory perspective. Zbl 1355.68233
Mhaskar, H. N.; Poggio, T.
21
2016
On the representation of smooth functions on the sphere using finitely many bits. Zbl 1082.41020
Mhaskar, H. N.
21
2005
Weighted quadrature formulas and approximation by zonal function networks on the sphere. Zbl 1103.65028
Mhaskar, H. N.
20
2006
The distribution of zeros of asymptotically extremal polynomials. Zbl 0744.41007
Mhaskar, H. N.; Saff, E. B.
20
1991
Where does the L p-norm of a weighted polynomial live? Zbl 0636.41008
Mhaskar, H. N.; Saff, E. B.
20
1987
\(L^p\) Bernstein estimates and approximation by spherical basis functions. Zbl 1200.41019
Mhaskar, H. N.; Narcowich, F. J.; Prestin, J.; Ward, J. D.
19
2010
Fundamentals of approximation theory. Zbl 0964.41001
Mhaskar, Hrushikesh N.; Pai, Devidas V.
19
2000
Polynomial operators and local smoothness classes on the unit interval. Zbl 1083.41004
Mhaskar, H. N.
18
2004
On the tractability of multivariate integration and approximation by neural networks. Zbl 1344.65036
Mhaskar, H. N.
17
2004
Weighted analogues of capacity, transfinite diameter, and Chebyshev constant. Zbl 0747.31001
Mhaskar, H. N.; Saff, E. B.
16
1992
Signal decomposition and analysis via extraction of frequencies. Zbl 1330.94013
Chui, Charles K.; Mhaskar, H. N.
15
2016
On local smoothness classes of periodic functions. Zbl 1096.42018
Mhaskar, H. N.; Prestin, J.
15
2005
On the problem of parameter estimation in exponential sums. Zbl 1254.94015
Filbir, F.; Mhaskar, H. N.; Prestin, J.
14
2012
Weighted polynomial approximation. Zbl 0602.41004
Mhaskar, H. N.
14
1986
Quadrature in Besov spaces on the Euclidean sphere. Zbl 1134.41013
Hesse, K.; Mhaskar, H. N.; Sloan, I. H.
12
2007
Polynomial frames on the sphere. Zbl 0974.41004
Mhaskar, H. N.; Narcowich, F. J.; Prestin, J.; Ward, J. D.
12
2000
Weighted polynomials on finite and infinite intervals: A unified approach. Zbl 0565.41017
Mhaskar, H. N.; Saff, E. B.
12
1984
Polynomial operators and local approximation of solutions of pseudo-differential equations on the sphere. Zbl 1090.65133
Le Gia, Q. T.; Mhaskar, H. N.
11
2006
When is approximation by Gaussian networks necessarily a linear process? Zbl 1084.68104
Mhaskar, H. N.
11
2004
Approximation with interpolatory constraints. Zbl 0993.41005
Mhaskar, H. N.; Narcowich, F. J.; Sivakumar, N.; Ward, J. D.
11
2002
Limitations of the approximation capabilities of neural networks with one hidden layer. Zbl 0855.41026
Chui, C. K.; Li, Xin; Mhaskar, H. N.
11
1996
Dimension-independent bounds on the degree of approximation by neural networks. Zbl 0823.41012
Mhaskar, H. N.; Micchelli, C. A.
11
1994
Neural networks for localized approximation. Zbl 0806.41020
Chui, C. K.; Li, Xin; Mhaskar, H. N.
11
1994
Extremal problems for polynomials with Laguerre weights. Zbl 0574.41014
Mhaskar, H. N.; Saff, E. B.
10
1983
A generalized diffusion frame for parsimonious representation of functions on data defined manifolds. Zbl 1222.42036
Mhaskar, H. N.
8
2011
Polynomial operators for spectral approximation of piecewise analytic functions. Zbl 1161.41008
Mhaskar, H. N.; Prestin, J.
8
2009
Local quadrature formulas on the sphere. Zbl 1074.41025
Mhaskar, H. N.
8
2004
A general discrepancy theorem. Zbl 0797.30032
Blatt, H.-P.; Mhaskar, H. N.
8
1993
Freud’s conjecture for exponential weights. Zbl 0606.42018
Lubinsky, D. S.; Mhaskar, H. N.; Saff, E. B.
8
1986
Weighted analogues of Nikolskij-type inequalities and their applications. Zbl 0512.42001
Mhaskar, H. N.
8
1983
Weighted polynomial approximation in rearrangement invariant Banach function spaces on the whole real line. Zbl 0516.41004
Freud, G.; Mhaskar, H. N.
8
1980
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.
7
2013
On a filter for exponentially localized kernels based on Jacobi polynomials. Zbl 1203.42038
Filbir, F.; Mhaskar, H. N.; Prestin, J.
7
2009
Local quadrature formulas on the sphere. II. Zbl 1098.41029
Mhaskar, H. N.
7
2004
Approximation theory and neural networks. Zbl 1037.41011
Mhaskar, H. N.
7
2001
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
The rate of monotone spline approximation in the \(L_p\)-norm. Zbl 0516.41010
Leviatan, D.; Mhaskar, H. N.
7
1982
Polynomial frames for the detection of singularities. Zbl 0962.42020
Mhaskar, H. N.; Prestin, J.
6
2000
Representation of functions on big data: graphs and trees. Zbl 1329.62033
Chui, C. K.; Filbir, F.; Mhaskar, H. N.
5
2015
Polynomial operators and local smoothness classes on the unit interval. II. Zbl 1181.41047
Mhaskar, H. N.
5
2009
A Markov-Bernstein inequality for Gaussian networks. Zbl 1077.41011
Mhaskar, H. N.
5
2005
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
Extensions of the Dirichlet-Jordan criterion to a general class of orthogonal polynomial expansions. Zbl 0545.42020
Mhaskar, H. N.
5
1984
Weighted polynomial approximation of entire functions. II. Zbl 0475.41003
Mhaskar, H. N.
5
1981
A unified framework for harmonic analysis of functions on directed graphs and changing data. Zbl 1395.42066
Mhaskar, H. N.
4
2018
Matrix-free interpolation on the sphere. Zbl 1119.33012
Ganesh, M.; Mhaskar, H. N.
4
2006
A local discrepancy theorem. Zbl 1013.42017
Andrievskii, V. V.; Blatt, H.-P.; Mhaskar, H. N.
4
2001
Detection of singularities using segment approximation. Zbl 0766.41007
Grothmann, R.; Mhaskar, H. N.
4
1992
The rate of convergence of expansions in Freud polynomials. Zbl 0698.41004
Mhaskar, H. N.
4
1988
Some discrepancy theorems. Zbl 0656.41003
Mhaskar, H. N.
4
1987
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
Weighted polynomial approximation of entire functions. I. Zbl 0489.41011
Mhaskar, H. N.
4
1982
Representation of functions on big data associated with directed graphs. Zbl 1378.68134
Chui, Charles K.; Mhaskar, H. N.; Zhuang, Xiaosheng
3
2018
Quadrature formulas for integration of multivariate trigonometric polynomials on spherical triangles. Zbl 1258.65028
Beckmann, J.; Mhaskar, H. N.; Prestin, J.
3
2012
Wiener type theorems for Jacobi series with nonnegative coefficients. Zbl 1250.42084
Mhaskar, H. N.; Tikhonov, S.
3
2012
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
Bounded quasi-interpolatory polynomial operators. Zbl 0920.42019
Mhaskar, H. N.; Prestin, J.
3
1999
Neural networks for functional approximation and system identification. Zbl 0872.68153
Mhaskar, H. N.; Hahm, Nahmwoo
3
1997
Hermite interpolation at the zeros of certain Freud-type orthogonal polynomials. Zbl 0782.41005
Mhaskar, H. N.; Xu, Y.
3
1992
Mean convergence of expansions in Freud-type orthogonal polynomials. Zbl 0737.42024
Mhaskar, H. N.; Xu, Y.
3
1991
Errata to “Where does the L p-norm of a weighted polynomial live?”. Zbl 0648.41005
Mhaskar, H. N.; Saff, E. B.
3
1988
A quantitative Dirichlet-Jordan type theorem for orthogonal polynomial expansions. Zbl 0634.42021
Mhaskar, H. N.
3
1988
A Weierstrass-type theorem for certain weighted polynomials. Zbl 0578.41007
Mhaskar, H. N.; Saff, E. B.
3
1985
Function approximation with zonal function networks with activation functions analogous to the rectified linear unit functions. Zbl 1409.41008
Mhaskar, H. N.
2
2019
Stable soft extrapolation of entire functions. Zbl 1421.65032
Batenkov, Dmitry; Demanet, Laurent; Mhaskar, Hrushikesh N.
2
2019
A minimum Sobolev norm technique for the numerical discretization of PDEs. Zbl 1352.65480
Chandrasekaran, S.; Mhaskar, H. N.
2
2015
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.
2
2013
MRA contextual-recovery extension of smooth functions on manifolds. Zbl 1198.94025
Chui, Charles K.; Mhaskar, H. N.
2
2010
Quadrature-free quasi-interpolation on the sphere. Zbl 1160.42301
Ganesh, M.; Mhaskar, H. N.
2
2006
Representing and analyzing scattered data on spheres. Zbl 0990.42024
Mhaskar, H. N.; Narcowich, F. J.; Ward, J. D.
2
2001
Quasi-interpolation in shift invariant spaces. Zbl 0981.41002
Mhaskar, H. N.; Narcowich, F. J.; Ward, J. D.
2
2000
On a build-up polynomial frame for the detection of singularities. Zbl 0992.42025
Mhaskar, H. N.; Prestin, J.
2
1999
On a sequence of fast decreasing polynomial operators. Zbl 0943.41008
Mhaskar, Hrushikesh N.; Prestin, Jürgen
2
1999
Approximation of real functions using neural networks. Zbl 0839.65019
Mhaskar, H. N.
2
1994
Weighted polynomial approximation of entire functions on unbounded subsets of the complex plane. Zbl 0807.30023
Mhaskar, H. N.
2
1993
Weighted polynomials, radial basis functions and potentials on locally compact spaces. Zbl 0744.31004
Mhaskar, H. N.
2
1991
Comonotone approximation by splines of piecewise monotone functions. Zbl 0503.41012
Leviatan, D.; Mhaskar, H. N.
2
1982
Approximate quadrature measures on data-defined spaces. Zbl 1405.65030
Mhaskar, Hrushikesh N.
1
2018
Function approximation with zonal function networks with activation functions analogous to the rectified linear unit functions. Zbl 1409.41008
Mhaskar, H. N.
2
2019
Stable soft extrapolation of entire functions. Zbl 1421.65032
Batenkov, Dmitry; Demanet, Laurent; Mhaskar, Hrushikesh N.
2
2019
A unified framework for harmonic analysis of functions on directed graphs and changing data. Zbl 1395.42066
Mhaskar, H. N.
4
2018
Representation of functions on big data associated with directed graphs. Zbl 1378.68134
Chui, Charles K.; Mhaskar, H. N.; Zhuang, Xiaosheng
3
2018
Approximate quadrature measures on data-defined spaces. Zbl 1405.65030
Mhaskar, Hrushikesh N.
1
2018
Local approximation using Hermite functions. Zbl 1369.41003
Mhaskar, H. N.
1
2017
Deep vs. shallow networks: an approximation theory perspective. Zbl 1355.68233
Mhaskar, H. N.; Poggio, T.
21
2016
Signal decomposition and analysis via extraction of frequencies. Zbl 1330.94013
Chui, Charles K.; Mhaskar, H. N.
15
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.
1
2016
Representation of functions on big data: graphs and trees. Zbl 1329.62033
Chui, C. K.; Filbir, F.; Mhaskar, H. N.
5
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
1
2015
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.
7
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.
2
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.
14
2012
Quadrature formulas for integration of multivariate trigonometric polynomials on spherical triangles. Zbl 1258.65028
Beckmann, J.; Mhaskar, H. N.; Prestin, J.
3
2012
Wiener type theorems for Jacobi series with nonnegative coefficients. Zbl 1250.42084
Mhaskar, H. N.; Tikhonov, S.
3
2012
Higher order numerical discretizations for exterior and biharmonic type PDEs. Zbl 1252.65182
Jayaraman Raghuram, Karthik; Chandrasekaran, Shivkumar; Moffitt, Joseph; Gu, Ming; Mhaskar, Hrushikesh
1
2012
Marcinkiewicz-Zygmund measures on manifolds. Zbl 1235.58007
Filbir, F.; Mhaskar, H. N.
29
2011
A generalized diffusion frame for parsimonious representation of functions on data defined manifolds. Zbl 1222.42036
Mhaskar, H. N.
8
2011
A quadrature formula for diffusion polynomials corresponding to a generalized heat kernel. Zbl 1204.41005
Filbir, F.; Mhaskar, H. N.
31
2010
Eignets for function approximation on manifolds. Zbl 1201.41003
Mhaskar, H. N.
22
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.
19
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.
28
2009
Polynomial operators for spectral approximation of piecewise analytic functions. Zbl 1161.41008
Mhaskar, H. N.; Prestin, J.
8
2009
On a filter for exponentially localized kernels based on Jacobi polynomials. Zbl 1203.42038
Filbir, F.; Mhaskar, H. N.; Prestin, J.
7
2009
Polynomial operators and local smoothness classes on the unit interval. II. Zbl 1181.41047
Mhaskar, H. N.
5
2009
Diffusion polynomial frames on metric measure spaces. Zbl 1242.42027
Maggioni, M.; Mhaskar, H. N.
33
2008
Quadrature in Besov spaces on the Euclidean sphere. Zbl 1134.41013
Hesse, K.; Mhaskar, H. N.; Sloan, I. H.
12
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.
20
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.
11
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
Polynomial frames: a fast tour. Zbl 1077.42028
Mhaskar, H. N.; Prestin, J.
22
2005
On the representation of smooth functions on the sphere using finitely many bits. Zbl 1082.41020
Mhaskar, H. N.
21
2005
On local smoothness classes of periodic functions. Zbl 1096.42018
Mhaskar, H. N.; Prestin, J.
15
2005
A Markov-Bernstein inequality for Gaussian networks. Zbl 1077.41011
Mhaskar, H. N.
5
2005
Polynomial operators and local smoothness classes on the unit interval. Zbl 1083.41004
Mhaskar, H. N.
18
2004
On the tractability of multivariate integration and approximation by neural networks. Zbl 1344.65036
Mhaskar, H. N.
17
2004
When is approximation by Gaussian networks necessarily a linear process? Zbl 1084.68104
Mhaskar, H. N.
11
2004
Local quadrature formulas on the sphere. Zbl 1074.41025
Mhaskar, H. N.
8
2004
Local quadrature formulas on the sphere. II. Zbl 1098.41029
Mhaskar, H. N.
7
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.
76
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.
4
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.
24
2000
Fundamentals of approximation theory. Zbl 0964.41001
Mhaskar, Hrushikesh N.; Pai, Devidas V.
19
2000
Polynomial frames on the sphere. Zbl 0974.41004
Mhaskar, H. N.; Narcowich, F. J.; Prestin, J.; Ward, J. D.
12
2000
Polynomial frames for the detection of singularities. Zbl 0962.42020
Mhaskar, H. N.; Prestin, J.
6
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.
32
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.
2
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
3
1997
Introduction to the theory of weighted polynomial approximation. Zbl 0948.41500
Mhaskar, H. N.
64
1996
Limitations of the approximation capabilities of neural networks with one hidden layer. Zbl 0855.41026
Chui, C. K.; Li, Xin; Mhaskar, H. N.
11
1996
Degree of approximation by neural and translation networks with a single hidden layer. Zbl 0885.42012
Mhaskar, H. N.; Micchelli, Charles A.
40
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
Dimension-independent bounds on the degree of approximation by neural networks. Zbl 0823.41012
Mhaskar, H. N.; Micchelli, C. A.
11
1994
Neural networks for localized approximation. Zbl 0806.41020
Chui, C. K.; Li, Xin; Mhaskar, H. N.
11
1994
Approximation of real functions using neural networks. Zbl 0839.65019
Mhaskar, H. N.
2
1994
On trigonometric wavelets. Zbl 0780.42020
Chui, C. K.; Mhaskar, H. N.
31
1993
Approximation properties of a multilayered feedforward artificial neural network. Zbl 0824.41011
Mhaskar, H. N.
22
1993
A general discrepancy theorem. Zbl 0797.30032
Blatt, H.-P.; Mhaskar, H. N.
8
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.
63
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.
4
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.
20
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.
2
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.
29
1990
Bounds for certain Freud-type orthogonal polynomials. Zbl 0716.42020
Mhaskar, H. N.
24
1990
General Markov-Bernstein and Nikolskij type inequalities. Zbl 0724.41014
Mhaskar, H. N.
1
1990
On the n-width for weighted approximation of entire functions. Zbl 0738.41026
Mhaskar, H. N.; Micchelli, C. A.
1
1989
A proof of Freud’s conjecture for exponential weights. Zbl 0653.42024
Lubinsky, D. S.; Mhaskar, H. N.; Saff, E. B.
39
1988
The rate of convergence of expansions in Freud polynomials. Zbl 0698.41004
Mhaskar, H. N.
4
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
A quantitative Dirichlet-Jordan type theorem for orthogonal polynomial expansions. Zbl 0634.42021
Mhaskar, H. N.
3
1988
Where does the L p-norm of a weighted polynomial live? Zbl 0636.41008
Mhaskar, H. N.; Saff, E. B.
20
1987
Some discrepancy theorems. Zbl 0656.41003
Mhaskar, H. N.
4
1987
Weighted polynomial approximation. Zbl 0602.41004
Mhaskar, H. N.
14
1986
Freud’s conjecture for exponential weights. Zbl 0606.42018
Lubinsky, D. S.; Mhaskar, H. N.; Saff, E. B.
8
1986
A weighted transfinite diameter. Zbl 0616.41022
Mhaskar, H. N.
1
1986
Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials). Zbl 0582.41009
Mhaskar, H. N.; Saff, E. B.
98
1985
...and 14 more Documents
all top 5

Cited by 707 Authors

76 Mhaskar, Hrushikesh N.
54 Lubinsky, Doron S.
30 Saff, Edward Barry
17 Cao, Feilong
15 Prestin, Jurgen
14 Sloan, Ian Hugh
13 Xu, Zongben
12 Chui, Charles Kam-tai
12 Costarelli, Danilo
12 Damelin, Steven Benjamin
12 Narcowich, Francis J.
12 Ward, Joseph Dinneen
11 Lin, Shaobo
10 Potts, Daniel
9 Filbir, Frank-Dieter
9 Kůrková, Věra
9 Wang, Heping
9 Womersley, Robert S.
8 Brauchart, Johann S.
8 Ehler, Martin
8 Gräf, Manuel
8 Levin, Eli
8 Van Assche, Walter
7 Chen, Yang
7 Dai, Feng
7 Horváth, Ágota P.
7 Ismail, Mourad El-Houssieny
7 Levin, A. L.
7 Nevai, Paul G.
7 Pesenson, Isaac Zalmanovich
7 Pritsker, Igor E.
7 Spigler, Renato
7 Totik, Vilmos
6 Ditzian, Zeev
6 Hesse, Kerstin
6 Kainen, Paul C.
6 Kunis, Stefan
6 Martínez-Finkelshtein, Andrei
6 Orive Rodríguez, Ramón Angel
6 Sanguineti, Marcello
6 Sheng, Baohuai
6 Wang, Yuguang
5 Alfaro, María Pilar
5 Blatt, Hans-Peter
5 Chen, Zhixiang
5 Dragnev, Peter D.
5 Goh, Say Song
5 Hangelbroek, Thomas C.
5 Kuijlaars, Arno B. J.
5 Le Gia, Quoc Thong
5 Montaner, Jesús María
5 Occorsio, Donatella
5 Sandberg, Irwin W.
5 Stylianopoulos, Nikos S.
5 Tikhonov, Sergey Yur’evich
4 Anastassiou, George Angelos
4 Andrievskii, Vladimir V.
4 Batenkov, Dmitry
4 Bello Hernández, Manuel
4 Ismailov, Vugar E.
4 Kwon, Kil Hyun
4 López Lagomasino, Guillermo Tomás
4 Mastroianni, Giuseppe
4 Njåstad, Olav
4 Sakai, Ryozi
4 Skopina, Maria A.
4 Tasche, Manfred
4 Vinti, Gianluca
4 Wu, Hau-Tieng
4 Xie, Tingfan
3 Aptekarev, Alexander Ivanovich
3 Bloom, Thomas
3 Bondarenko, Andriy V.
3 Chandrasekaran, Shivkumar
3 Dehesa, Jesús S.
3 Díaz-Mendoza, Carlos
3 Durastanti, Claudio
3 Gnecco, Giorgio
3 Götz, Mario
3 Hahm, Nahmwoo
3 Hu, Yingkang
3 Inoue, Tetsuo
3 Jiang, Qingtang
3 Jones, William Branham
3 Knopfmacher, Arnold
3 Kohler, Michael
3 Kvernadze, George
3 Lan, Xiaohong
3 Lapik, M. A.
3 Leviatan, Dany
3 Li, Xin
3 Maiorov, Vitaly E.
3 Marcellán Español, Francisco
3 Marinucci, Domenico
3 Marzo, Jordi
3 McLaughlin, Kenneth D. T.-R.
3 Moreno-Balcázar, Juan José
3 Narayan, Akil C.
3 Ortega-Cerdà, Joaquim
3 Pereverzev, Sergei V.
...and 607 more Authors
all top 5

Cited in 170 Serials

119 Journal of Approximation Theory
42 Journal of Computational and Applied Mathematics
36 Applied and Computational Harmonic Analysis
32 Constructive Approximation
29 Journal of Mathematical Analysis and Applications
21 Journal of Complexity
19 Advances in Computational Mathematics
17 Mathematics of Computation
15 Neural Networks
13 The Journal of Fourier Analysis and Applications
12 Computers & Mathematics with Applications
12 Acta Mathematica Hungarica
11 Applied Mathematics and Computation
10 Proceedings of the American Mathematical Society
9 Analysis and Applications (Singapore)
8 GEM - International Journal on Geomathematics
7 Numerical Algorithms
6 Numerical Functional Analysis and Optimization
6 Circuits, Systems, and Signal Processing
6 Neural Computation
5 Journal of Functional Analysis
5 Results in Mathematics
5 Transactions of the American Mathematical Society
5 Linear Algebra and its Applications
5 Applied Mathematics. Series B (English Edition)
5 Acta Mathematica Sinica. English Series
4 Israel Journal of Mathematics
4 Journal of Computational Physics
4 Journal of Mathematical Physics
4 Mathematical Notes
4 Rocky Mountain Journal of Mathematics
4 Advances in Mathematics
4 Numerische Mathematik
4 Mathematical and Computer Modelling
4 The Journal of Geometric Analysis
4 Potential Analysis
4 Computational Methods and Function Theory
4 International Journal of Wavelets, Multiresolution and Information Processing
3 Communications in Mathematical Physics
3 Journal d’Analyse Mathématique
3 Mathematical Methods in the Applied Sciences
3 BIT
3 Journal of Optimization Theory and Applications
3 Mathematische Nachrichten
3 Monatshefte für Mathematik
3 Applied Numerical Mathematics
3 Applied Mathematics Letters
3 Bulletin of the American Mathematical Society. New Series
3 Abstract and Applied Analysis
3 Analysis in Theory and Applications
3 Mathematical Geosciences
3 Random Matrices: Theory and Applications
2 Inverse Problems
2 The Annals of Statistics
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 SIAM Journal on Numerical Analysis
2 Studies in Applied Mathematics
2 Tohoku 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 Applied Mathematical Modelling
2 International Journal of Computer Mathematics
2 SIAM Journal on Mathematical Analysis
2 SIAM Journal on Scientific Computing
2 Russian Journal of Mathematical Physics
2 St. Petersburg Mathematical Journal
2 Computational and Applied Mathematics
2 Foundations of Computational 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 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Bulletin of Mathematical Sciences
2 Statistics and Computing
2 Advances in Data Science and Adaptive Analysis
1 Analysis Mathematica
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 Communications on Pure and Applied Mathematics
1 International Journal of Theoretical Physics
1 Journal of Engineering Mathematics
1 Journal of the Franklin Institute
1 Journal of Statistical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Arkiv för Matematik
1 Chaos, Solitons and Fractals
1 Annales de l’Institut Fourier
1 Annals of the Institute of Statistical Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Automatica
1 Calcolo
1 Computing
1 Duke Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Kybernetika
1 Mathematica Slovaca
1 Memoirs of the American Mathematical Society
...and 70 more Serials
all top 5

Cited in 46 Fields

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

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