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Author ID: leviatan.dany Recent zbMATH articles by "Leviatan, Dany"
Published as: Leviatan, D.; Leviatan, Dany
Homepage: http://www.math.tau.ac.il/~leviatan/
External Links: MGP · ORCID · Wikidata · ResearchGate · dblp · IdRef
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Serials

34 Journal of Approximation Theory
11 Constructive Approximation
7 Israel Journal of Mathematics
7 Proceedings of the American Mathematical Society
5 Journal of Mathematical Analysis and Applications
5 Mathematische Zeitschrift
5 Results in Mathematics
5 Advances in Computational Mathematics
4 Canadian Mathematical Bulletin
4 Acta Mathematica Hungarica
4 Mediterranean Journal of Mathematics
3 Ukrainian Mathematical Journal
3 Canadian Journal of Mathematics
3 Journal of the London Mathematical Society. Second Series
3 SIAM Journal on Numerical Analysis
3 SIAM Journal on Mathematical Analysis
3 Foundations of Computational Mathematics
3 Jaen Journal on Approximation
2 Rocky Mountain Journal of Mathematics
2 Pacific Journal of Mathematics
2 Annals of Numerical Mathematics
2 East Journal on Approximations
2 Journal of the London Mathematical Society
2 Mathematica
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Analysis Mathematica
1 Journal d’Analyse Mathématique
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Studia Mathematica
1 Ukraïns’kyĭ Matematychnyĭ Zhurnal
1 Acta Scientiarum Mathematicarum
1 Archiv der Mathematik
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Journal of Computational and Applied Mathematics
1 Mathematische Annalen
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Publicationes Mathematicae Debrecen
1 Tôhoku Mathematical Journal. Second Series
1 Transactions of the American Mathematical Society
1 Journal of Complexity
1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
1 The Journal of Analysis
1 Applied and Computational Harmonic Analysis
1 Serdica Mathematical Journal
1 Surveys in Approximation Theory (SAT)
1 Israel Mathematical Conference Proceedings
1 Azerbaijan Journal of Mathematics
1 Revue d’Analyse Numérique et de la Théorie de l’Approximation
1 Pure and Applied Functional Analysis
1 SMAI Journal of Computational Mathematics

Publications by Year

Citations contained in zbMATH Open

134 Publications have been cited 822 times in 534 Documents Cited by Year
On the stability and accuracy of least squares approximations. Zbl 1276.93086
Cohen, Albert; Davenport, Mark A.; Leviatan, Dany
101
2013
Generalized Szasz operators for the approximation in the finite interval. Zbl 0188.36801
Jakimovski, Amnon; Leviatan, D.
76
1969
The Bramble-Hilbert lemma for convex domains. Zbl 1078.41006
Dekel, S.; Leviatan, D.
27
2004
Wavelet compression and nonlinear \(n\)-widths. Zbl 0824.65145
DeVore, R. A.; Kyriazis, G.; Leviatan, D.; Tikhomirov, V. M.
25
1993
Polynomial approximation in \(L_ p (O<p<1)\). Zbl 0753.41006
DeVore, Ronald A.; Leviatan, Dany; Yu, Xiang Ming
24
1992
Uniform and pointwise shape preserving approximation by algebraic polynomials. Zbl 1296.41001
Kopotun, K. A.; Leviatan, D.; Prymak, A.; Shevchuk, I. A.
22
2011
Monotone and comonotone polynomial approximation revisited. Zbl 0697.41001
Leviatan, D.
17
1988
Pointwise estimates for convex polynomial approximation. Zbl 0617.41009
Leviatan, D.
17
1986
The behavior of the derivatives of the algebraic polynomials of best approximation. Zbl 0489.41016
Leviatan, D.
17
1982
Interpolatory pointwise estimates for polynomial approximation. Zbl 0976.41018
Gonska, H. H.; Leviatan, D.; Shevchuk, I. A.; Wenz, H.-J.
14
2000
Inverse theorem for best polynomial approximation in \(L_ p\), \(0 < p < 1\). Zbl 0793.41016
Ditzian, Z.; Jiang, Dechang; Leviatan, D.
12
1994
A property of approximation operators and applications to Tauberian constants. Zbl 0176.34802
Jakimovski, Amnon; Leviatan, D.
11
1967
New moduli of smoothness: weighted DT moduli revisited and applied. Zbl 1329.41020
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
11
2015
Nearly comonotone approximation. Zbl 0911.41003
Leviatan, D.; Shevchuk, I. A.
11
1998
Shape-preserving approximation by polynomials. Zbl 0969.41007
Leviatan, D.
10
2000
Coconvex approximation. Zbl 1057.41012
Leviatan, D.; Shevchuk, I. A.
10
2002
The degree of coconvex polynomial approximation. Zbl 0914.41005
Kopotun, K.; Leviatan, D.; Shevchuk, I. A.
10
1999
An extension of Raşa’s conjecture to \(q\)-monotone functions. Zbl 1461.26008
Abel, Ulrich; Leviatan, Dany
10
2020
Convex polynomial and spline approximation in \(C[-1,1]\). Zbl 0799.41007
Hu, Yingkang; Leviatan, Dany; Yu, Xiang Ming
9
1994
Approximation by polynomials and ridge functions of classes of \(s\)-monotone radial functions. Zbl 1145.41005
Konovalov, V. N.; Leviatan, D.; Maiorov, V. E.
9
2008
Some positive results and counterexamples in comonotone approximation. II. Zbl 0934.41013
Leviatan, D.; Shevchuk, I. A.
9
1999
On the Jackson-Müntz theorem. Zbl 0279.41006
Leviatan, D.
9
1974
Approximation of monotone functions: A counter example. Zbl 0958.41012
DeVore, R. A.; Leviatan, D.; Shevchuk, I. A.
9
1997
Whitney estimates for convex domains with applications to multivariate piecewise polynomial approximation. Zbl 1063.41002
Dekel, S.; Leviatan, D.
9
2004
Correction to: “On the stability and accuracy of least squares approximations”. Zbl 1407.93436
Cohen, Albert; Davenport, Mark A.; Leviatan, Dany
9
2019
Simultaneous polynomial approximation. Zbl 0818.41029
Ditzian, Z.; Jiang, Dechang; Leviatan, D.
8
1993
Tauberian constants for generalized Hausdorff transformations. Zbl 0153.38703
Leviatan, D.
7
1968
The rate of monotone spline approximation in the \(L_p\)-norm. Zbl 0516.41010
Leviatan, D.; Mhaskar, H. N.
7
1982
Shape preserving widths of Sobolev-type classes of \(s\)-monotone functions on a finite interval. Zbl 1038.41008
Konovalov, V. N.; Leviatan, D.
7
2003
Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. Zbl 1017.46026
Konovalov, V. N.; Leviatan, D.
7
2002
Coconvex polynomial approximation. Zbl 1021.41006
Leviatan, D.; Shevchuk, I. A.
7
2003
Simultaneous approximation by greedy algorithms. Zbl 1096.41026
Leviatan, D.; Temlyakov, V. N.
6
2006
Copositive polynomial and spline approximation. Zbl 0837.41007
Hu, Yingkang; Leviatan, Dany; Yu, Xiang Ming
6
1995
Are the degrees of the best (co)convex and unconstrained polynomial approximations the same? II. Zbl 1224.41019
Kopotun, K.; Leviatan, D.; Shevchuk, I. A.
6
2010
Widths and shape-preserving widths of Sobolev-type classes of \(s\)-monotone functions. Zbl 1096.41019
Gilewicz, J.; Konovalov, V. N.; Leviatan, D.
6
2006
Approximation of Sobolev classes by polynomials and ridge functions. Zbl 1180.41017
Konovalov, V. N.; Leviatan, D.; Maiorov, V. E.
6
2009
A characterization of totally regular \([J,f(x)]\) transforms. Zbl 0184.08803
Leviatan, D.; Lorch, L.
6
1969
Multivariate approximation and applications. Zbl 0963.00017
6
2001
New moduli of smoothness. Zbl 1474.41018
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
6
2014
The degree of copositive approximation by polynomials. Zbl 0532.41007
Leviatan, D.
6
1983
Adaptive multivariate approximation using binary space partitions and geometric wavelets. Zbl 1089.41011
Dekel, S.; Leviatan, D.
6
2005
On comonotone approximation. Zbl 0476.41008
Beatson, R. K.; Leviatan, D.
6
1983
Convex polynomial and spline approximation in \(L_ p, 0<p<\infty\). Zbl 0854.41008
DeVore, R. A.; Hu, Y. K.; Leviatan, D.
5
1996
Copositive polynomial approximation in C [0,1]. Zbl 0770.41008
Hu, Yingkang; Leviatan, Dany; Yu, Xiang Ming
5
1993
Pointwise estimates of coconvex approximation. Zbl 1379.41005
Dzyubenko, G. A.; Leviatan, D.; Shevchuk, I. A.
5
2014
\(L_ p\) approximation by reciprocals of trigonometric and algebraic polynomials. Zbl 0686.41004
Devore, Ronald A.; Leviatan, D.; Yu, Xiang Ming
5
1990
Comonotone polynomial approximation in \(L_p[-1,1], 0<p\leq\infty\). Zbl 0904.41011
Kopotun, K.; Leviatan, D.
5
1997
Interpolatory estimates for convex piecewise polynomial approximation. Zbl 1414.41004
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
4
2019
Some positive results and counterexamples in comonotone approximation. Zbl 0870.41016
Leviatan, D.; Shevchuk, I. A.
4
1997
Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. II. Zbl 0992.41013
Konovalov, V. N.; Leviatan, D.
4
2001
Interpolatory estimates in monotone piecewise polynomial approximation. Zbl 1375.41004
Leviatan, D.; Petrova, I. L.
4
2017
Generalized Bernstein polynomials. Zbl 0146.29303
Jakimovski, Amnon; Leviatan, D.
4
1966
Moment problems and quasi-Hausdorff transformations. Zbl 0164.14603
Leviatan, D.
4
1968
On the remainder in the approximation of functions by Bernstein-type operators. Zbl 0183.32803
Leviatan, D.
4
1969
Absolute Tauberian conditions for absolute Hausdorff and quasi-Hausdorff methods. Zbl 0199.39103
Leviatan, D.
4
1970
Monotone approximation estimates involving the third modulus of smoothnes. Zbl 0939.41015
Leviatan, Dany; Shevchuk, Igor A.
4
1998
Optimal interpolating spaces preserving shape. Zbl 0952.41021
Chalmers, B. L.; Leviatan, D.; Prophet, M. P.
4
1999
Positive results and counterexamples in comonotone approximation. Zbl 1254.41006
Leviatan, D.; Radchenko, D. V.; Shevchuk, I. A.
4
2012
Permissible bounds on the coefficients of approximating polynomials with real or complex exponents. Zbl 0356.41002
Golitschek, M.v.; Leviatan, D.
4
1977
Estimates on the approximation of 3-monotone functions by 3-monotone quadratic splines. Zbl 1091.41008
Konovalov, V. N.; Leviatan, D.
4
2001
On approximation in the \(L^ p\)-norm by reciprocals of polynomials. Zbl 0701.41012
Leviatan, D.; Levin, A. L.; Saff, E. B.
4
1989
Shape-preserving widths of weighted Sobolev-type classes of positive, monotone, and convex functions on a finite interval. Zbl 1029.41013
Konovalov, V. N.; Leviatan, D.
4
2003
On measuring the efficiency of kernel operators in \(L_p(\mathbb R^d)\). Zbl 1056.41010
Dekel, S.; Leviatan, D.
4
2004
Shape-preserving polynomial approximation in \(C[-1,1]\). Zbl 0782.41010
Ditzian, Z.; Jiang, Dechang; Leviatan, D.
3
1992
Degree of approximation by rational functions with prescribed numerator degree. Zbl 0798.41010
Leviatan, D.; Lubinsky, D. S.
3
1994
Counter examples in convex and higher order constrained approximation. Zbl 0846.41006
Leviatan, D.; Shevchuk, I. A.
3
1995
Rational Müntz approximation. Zbl 0824.41006
von Golitschek, Manfred; Leviatan, Dany
3
1995
Shape preserving approximation by polynomials and splines. Zbl 0863.41003
Leviatan, D.
3
1996
Are the degrees of best (co)convex and unconstrained polynomial approximation the same? Zbl 1265.41010
Kopotun, K.; Leviatan, D.; Shevchuk, I. A.
3
2009
Interpolatory pointwise estimates for monotone polynomial approximation. Zbl 1377.41001
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
3
2018
Constrained spline smoothing. Zbl 1175.65024
Kopotun, K.; Leviatan, D.; Prymak, A. V.
3
2008
A generalized moment problem. Zbl 0173.15005
Leviatan, D.
3
1967
Generalized Bernstein power-series. Zbl 0146.29401
Jakimovski, Amnon; Leviatan, D.
3
1967
Completeness and approximation operators. Zbl 0198.08801
Jakimovski, Amnon; Leviatan, D.
3
1969
Remarks on some Tauberian theorems of Meyer-König, Tietz and Stieglitz. Zbl 0215.17401
Leviatan, D.
3
1971
Nearly comonotone approximation. II. Zbl 0963.41008
Leviatan, D.; Shevchuk, I. A.
3
2000
Nikolskii-type estimates for coconvex approximation of functions with one inflection point. Zbl 1248.41014
Dzyubenko, G. A.; Leviatan, D.; Shevchuk, I. A.
3
2010
An application of a convolution transform to the sequence-to-function analogues of Hausdorff transformations. Zbl 0246.40006
Leviatan, D.
3
1971
Constrained approximation with Jacobi weights. Zbl 1347.41019
Kopotun, Kirill; Leviatan, Dany; Shevchuk, Igor
3
2016
More on comonotone polynomial approximation. Zbl 0959.41006
Leviatan, D.; Shevchuk, I. A.
3
2000
Coconvex approximation by hybrid polynomials. Zbl 1524.41015
Leviatan, D.; Motorna, O. V.; Shevchuk, I. A.
3
2022
Positive results and counterexamples in comonotone approximation. II. Zbl 1292.41003
Leviatan, D.; Shevchuk, I. A.; Vlasiuk, O. V.
3
2014
On the moduli of smoothness with Jacobi weights. Zbl 1416.41013
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
2
2018
Coconvex approximation in the uniform norm: the final frontier. Zbl 1102.41005
Kopotun, K.; Leviatan, D.; Shevchuk, I. A.
2
2006
Convex polynomial approximation in \(L_ p\) \((0<p<1)\). Zbl 0783.41003
DeVore, Ronald A.; Leviatan, Dany
2
1993
Recent developments in shape preserving approximation. Zbl 0840.41015
Leviatan, D.
2
1995
On 3-monotone approximation by piecewise polynomials. Zbl 1080.41009
Leviatan, D.; Prymak, A. V.
2
2005
Simultaneous greedy approximation in Banach spaces. Zbl 1088.41019
Leviatan, D.; Temlyakov, V. N.
2
2005
Shape-preserving approximation in \(L_ p\). Zbl 0830.41007
Leviatan, D.; Operstein, V.
2
1995
Some Tauberian theorems for quasi-Hausdorff transforms. Zbl 0169.07101
Leviatan, D.
2
1969
Some applications of the gamma-operators. Zbl 0189.34903
Leviatan, D.; Müller, M.
2
1969
A generalization of the mean ergodic theorem. Zbl 0212.08402
Leviatan, D.; Ramanujan, M. S.
2
1971
A new approach to representation theory for convolution transforms. Zbl 0215.47604
Leviatan, D.
2
1970
On the representation of functions as Laplace integrals. Zbl 0165.13903
Leviatan, D.
2
1969
The Gibbs phenomenon and Lebesgue constants for regular [J,f(x)] means. Zbl 0197.35101
Leviatan, D.; Lorch, L.
2
1970
On gamma-type approximation operators. Zbl 0214.31503
Leviatan, D.
2
1972
In memoriam: Bruce L. Chalmers (1938–2015). Zbl 1338.46004
Aksoy, Asuman; De Pillis, John; Leviatan, Dany; Lewicki, Grzegorz; Metcalf, Frederic T.; Prophet, Michael; Shekhtman, Boris; Taylor, G. D. (Jerry)
2
2016
Jackson type estimates for piecewise \(q\)-monotone approximation, \(q\geq 3\), are not valid. Zbl 1347.41007
Leviatan, Dany; Shevchuk, Igor A.
2
2016
Comparing the degrees of unconstrained and shape preserving approximation by polynomials. Zbl 1353.41003
Leviatan, D.; Shevchuk, I. A.
2
2016
On restricted best approximation to functions with restricted derivatives. Zbl 0319.41028
Kimchi, E.; Leviatan, D.
2
1976
Comonotone approximation by hybrid polynomials. Zbl 1528.42005
Leviatan, D.; Shcheglov, M. V.; Shevchuk, I. A.
1
2024
Coconvex approximation of periodic functions. Zbl 1528.41044
Leviatan, D.; Shevchuk, I. A.
2
2023
Coconvex approximation by hybrid polynomials. Zbl 1524.41015
Leviatan, D.; Motorna, O. V.; Shevchuk, I. A.
3
2022
Relations between the Bernstein polynomials and \(q\)-monotone functions. Zbl 1528.26021
Abel, Ulrich; Leviatan, Dany; Raşa, Ioan
2
2022
No Jackson-type estimates for piecewise \(q\)-monotone, \(q \geq 3,\) trigonometric approximation. Zbl 1526.41002
Leviatan, D.; Motorna, O. V.; Shevchuk, I. A.
1
2022
Exact order of pointwise estimates for polynomial approximation with Hermite interpolation. Zbl 1464.41006
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
1
2021
An extension of Raşa’s conjecture to \(q\)-monotone functions. Zbl 1461.26008
Abel, Ulrich; Leviatan, Dany
10
2020
Correction to: “On the stability and accuracy of least squares approximations”. Zbl 1407.93436
Cohen, Albert; Davenport, Mark A.; Leviatan, Dany
9
2019
Interpolatory estimates for convex piecewise polynomial approximation. Zbl 1414.41004
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
4
2019
One estimate for divided differences and its applications. Zbl 1436.41003
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
2
2019
On weighted approximation with Jacobi weights. Zbl 1401.41007
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
1
2019
Uniform and pointwise shape preserving approximation (SPA) by algebraic polynomials: an update. Zbl 1439.41002
Kopotun, Kirill A.; Leviatan, D.; Shevchuk, I. A.
1
2019
Interpolatory pointwise estimates for monotone polynomial approximation. Zbl 1377.41001
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
3
2018
On the moduli of smoothness with Jacobi weights. Zbl 1416.41013
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
2
2018
Corrigendum to: “Interpolatory estimates in monotone piecewise polynomial approximation”. Zbl 1467.41003
Leviatan, D.; Petrova, I. L.
1
2018
Interpolatory estimates in monotone piecewise polynomial approximation. Zbl 1375.41004
Leviatan, D.; Petrova, I. L.
4
2017
Constrained approximation with Jacobi weights. Zbl 1347.41019
Kopotun, Kirill; Leviatan, Dany; Shevchuk, Igor
3
2016
In memoriam: Bruce L. Chalmers (1938–2015). Zbl 1338.46004
Aksoy, Asuman; De Pillis, John; Leviatan, Dany; Lewicki, Grzegorz; Metcalf, Frederic T.; Prophet, Michael; Shekhtman, Boris; Taylor, G. D. (Jerry)
2
2016
Jackson type estimates for piecewise \(q\)-monotone approximation, \(q\geq 3\), are not valid. Zbl 1347.41007
Leviatan, Dany; Shevchuk, Igor A.
2
2016
Comparing the degrees of unconstrained and shape preserving approximation by polynomials. Zbl 1353.41003
Leviatan, D.; Shevchuk, I. A.
2
2016
New moduli of smoothness: weighted DT moduli revisited and applied. Zbl 1329.41020
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
11
2015
Monotone trigonometric approximation. Zbl 1321.42004
Leviatan, D.; Sidon, J.
1
2015
New moduli of smoothness. Zbl 1474.41018
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
6
2014
Pointwise estimates of coconvex approximation. Zbl 1379.41005
Dzyubenko, G. A.; Leviatan, D.; Shevchuk, I. A.
5
2014
Positive results and counterexamples in comonotone approximation. II. Zbl 1292.41003
Leviatan, D.; Shevchuk, I. A.; Vlasiuk, O. V.
3
2014
On the stability and accuracy of least squares approximations. Zbl 1276.93086
Cohen, Albert; Davenport, Mark A.; Leviatan, Dany
101
2013
Positive results and counterexamples in comonotone approximation. Zbl 1254.41006
Leviatan, D.; Radchenko, D. V.; Shevchuk, I. A.
4
2012
The degree of shape preserving weighted polynomial approximation. Zbl 1262.41005
Leviatan, Dany; Lubinsky, Doron S.
1
2012
Uniform and pointwise shape preserving approximation by algebraic polynomials. Zbl 1296.41001
Kopotun, K. A.; Leviatan, D.; Prymak, A.; Shevchuk, I. A.
22
2011
Are the degrees of the best (co)convex and unconstrained polynomial approximations the same? II. Zbl 1224.41019
Kopotun, K.; Leviatan, D.; Shevchuk, I. A.
6
2010
Nikolskii-type estimates for coconvex approximation of functions with one inflection point. Zbl 1248.41014
Dzyubenko, G. A.; Leviatan, D.; Shevchuk, I. A.
3
2010
Coconvex pointwise approximation. Zbl 1470.41004
Dzyubenko, German A.; Leviatan, Dany; Shevchuk, Igor A.
1
2010
Approximation of Sobolev classes by polynomials and ridge functions. Zbl 1180.41017
Konovalov, V. N.; Leviatan, D.; Maiorov, V. E.
6
2009
Are the degrees of best (co)convex and unconstrained polynomial approximation the same? Zbl 1265.41010
Kopotun, K.; Leviatan, D.; Shevchuk, I. A.
3
2009
Approximation by polynomials and ridge functions of classes of \(s\)-monotone radial functions. Zbl 1145.41005
Konovalov, V. N.; Leviatan, D.; Maiorov, V. E.
9
2008
Constrained spline smoothing. Zbl 1175.65024
Kopotun, K.; Leviatan, D.; Prymak, A. V.
3
2008
Freeknot splines approximation of Sobolev-type classes of \(s\)-monotone functions. Zbl 1146.41004
Konovalov, V. N.; Leviatan, D.
1
2007
Simultaneous approximation by greedy algorithms. Zbl 1096.41026
Leviatan, D.; Temlyakov, V. N.
6
2006
Widths and shape-preserving widths of Sobolev-type classes of \(s\)-monotone functions. Zbl 1096.41019
Gilewicz, J.; Konovalov, V. N.; Leviatan, D.
6
2006
Coconvex approximation in the uniform norm: the final frontier. Zbl 1102.41005
Kopotun, K.; Leviatan, D.; Shevchuk, I. A.
2
2006
Nearly monotone spline approximation in \( \mathbb{L}_p\). Zbl 1092.41011
Kopotun, K.; Leviatan, D.; Prymak, A. V.
2
2006
Adaptive multivariate approximation using binary space partitions and geometric wavelets. Zbl 1089.41011
Dekel, S.; Leviatan, D.
6
2005
On 3-monotone approximation by piecewise polynomials. Zbl 1080.41009
Leviatan, D.; Prymak, A. V.
2
2005
Simultaneous greedy approximation in Banach spaces. Zbl 1088.41019
Leviatan, D.; Temlyakov, V. N.
2
2005
The Bramble-Hilbert lemma for convex domains. Zbl 1078.41006
Dekel, S.; Leviatan, D.
27
2004
Whitney estimates for convex domains with applications to multivariate piecewise polynomial approximation. Zbl 1063.41002
Dekel, S.; Leviatan, D.
9
2004
On measuring the efficiency of kernel operators in \(L_p(\mathbb R^d)\). Zbl 1056.41010
Dekel, S.; Leviatan, D.
4
2004
Free-knot splines approximation of \(s\)-monotone functions. Zbl 1037.41004
Konovalov, V. N.; Leviatan, D.
2
2004
On the relation between piecewise polynomial and rational approximation in \(L_p(\mathbb{R}^2)\). Zbl 1055.41003
Dekel, S.; Leviatan, D.
1
2004
Shape preserving widths of Sobolev-type classes of \(s\)-monotone functions on a finite interval. Zbl 1038.41008
Konovalov, V. N.; Leviatan, D.
7
2003
Coconvex polynomial approximation. Zbl 1021.41006
Leviatan, D.; Shevchuk, I. A.
7
2003
Shape-preserving widths of weighted Sobolev-type classes of positive, monotone, and convex functions on a finite interval. Zbl 1029.41013
Konovalov, V. N.; Leviatan, D.
4
2003
Coconvex approximation. Zbl 1057.41012
Leviatan, D.; Shevchuk, I. A.
10
2002
Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. Zbl 1017.46026
Konovalov, V. N.; Leviatan, D.
7
2002
Nearly coconvex approximation. Zbl 1044.41003
Leviatan, D.; Shevchuk, I. A.
1
2002
Wavelet decompositions of nonrefinable shift invariant spaces. Zbl 1025.42024
Dekel, S.; Leviatan, D.
1
2002
Multivariate approximation and applications. Zbl 0963.00017
6
2001
Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. II. Zbl 0992.41013
Konovalov, V. N.; Leviatan, D.
4
2001
Estimates on the approximation of 3-monotone functions by 3-monotone quadratic splines. Zbl 1091.41008
Konovalov, V. N.; Leviatan, D.
4
2001
Interpolatory pointwise estimates for polynomial approximation. Zbl 0976.41018
Gonska, H. H.; Leviatan, D.; Shevchuk, I. A.; Wenz, H.-J.
14
2000
Shape-preserving approximation by polynomials. Zbl 0969.41007
Leviatan, D.
10
2000
Nearly comonotone approximation. II. Zbl 0963.41008
Leviatan, D.; Shevchuk, I. A.
3
2000
More on comonotone polynomial approximation. Zbl 0959.41006
Leviatan, D.; Shevchuk, I. A.
3
2000
The degree of coconvex polynomial approximation. Zbl 0914.41005
Kopotun, K.; Leviatan, D.; Shevchuk, I. A.
10
1999
Some positive results and counterexamples in comonotone approximation. II. Zbl 0934.41013
Leviatan, D.; Shevchuk, I. A.
9
1999
Optimal interpolating spaces preserving shape. Zbl 0952.41021
Chalmers, B. L.; Leviatan, D.; Prophet, M. P.
4
1999
Nearly comonotone approximation. Zbl 0911.41003
Leviatan, D.; Shevchuk, I. A.
11
1998
Monotone approximation estimates involving the third modulus of smoothnes. Zbl 0939.41015
Leviatan, Dany; Shevchuk, Igor A.
4
1998
The Bernstein operator is the closest positive operator to a projection. Zbl 0935.41018
Chalmers, Bruce L.; Leviatan, Dany; Prophet, Michael P.
1
1998
Degree of simultaneous coconvex polynomial approximation. Zbl 0926.41014
Kopotun, K.; Leviatan, D.
1
1998
Approximation of monotone functions: A counter example. Zbl 0958.41012
DeVore, R. A.; Leviatan, D.; Shevchuk, I. A.
9
1997
Comonotone polynomial approximation in \(L_p[-1,1], 0<p\leq\infty\). Zbl 0904.41011
Kopotun, K.; Leviatan, D.
5
1997
Some positive results and counterexamples in comonotone approximation. Zbl 0870.41016
Leviatan, D.; Shevchuk, I. A.
4
1997
Convex polynomial and spline approximation in \(L_ p, 0<p<\infty\). Zbl 0854.41008
DeVore, R. A.; Hu, Y. K.; Leviatan, D.
5
1996
Shape preserving approximation by polynomials and splines. Zbl 0863.41003
Leviatan, D.
3
1996
Copositive polynomial and spline approximation. Zbl 0837.41007
Hu, Yingkang; Leviatan, Dany; Yu, Xiang Ming
6
1995
Counter examples in convex and higher order constrained approximation. Zbl 0846.41006
Leviatan, D.; Shevchuk, I. A.
3
1995
Rational Müntz approximation. Zbl 0824.41006
von Golitschek, Manfred; Leviatan, Dany
3
1995
Recent developments in shape preserving approximation. Zbl 0840.41015
Leviatan, D.
2
1995
Shape-preserving approximation in \(L_ p\). Zbl 0830.41007
Leviatan, D.; Operstein, V.
2
1995
Inverse theorem for best polynomial approximation in \(L_ p\), \(0 < p < 1\). Zbl 0793.41016
Ditzian, Z.; Jiang, Dechang; Leviatan, D.
12
1994
Convex polynomial and spline approximation in \(C[-1,1]\). Zbl 0799.41007
Hu, Yingkang; Leviatan, Dany; Yu, Xiang Ming
9
1994
Degree of approximation by rational functions with prescribed numerator degree. Zbl 0798.41010
Leviatan, D.; Lubinsky, D. S.
3
1994
Wavelet compression and nonlinear \(n\)-widths. Zbl 0824.65145
DeVore, R. A.; Kyriazis, G.; Leviatan, D.; Tikhomirov, V. M.
25
1993
Simultaneous polynomial approximation. Zbl 0818.41029
Ditzian, Z.; Jiang, Dechang; Leviatan, D.
8
1993
Copositive polynomial approximation in C [0,1]. Zbl 0770.41008
Hu, Yingkang; Leviatan, Dany; Yu, Xiang Ming
5
1993
Convex polynomial approximation in \(L_ p\) \((0<p<1)\). Zbl 0783.41003
DeVore, Ronald A.; Leviatan, Dany
2
1993
Polynomial approximation in \(L_ p (O<p<1)\). Zbl 0753.41006
DeVore, Ronald A.; Leviatan, Dany; Yu, Xiang Ming
24
1992
Shape-preserving polynomial approximation in \(C[-1,1]\). Zbl 0782.41010
Ditzian, Z.; Jiang, Dechang; Leviatan, D.
3
1992
\(L_ p\) approximation by reciprocals of trigonometric and algebraic polynomials. Zbl 0686.41004
Devore, Ronald A.; Leviatan, D.; Yu, Xiang Ming
5
1990
On approximation in the \(L^ p\)-norm by reciprocals of polynomials. Zbl 0701.41012
Leviatan, D.; Levin, A. L.; Saff, E. B.
4
1989
Monotone and comonotone polynomial approximation revisited. Zbl 0697.41001
Leviatan, D.
17
1988
Pointwise estimates for convex polynomial approximation. Zbl 0617.41009
Leviatan, D.
17
1986
The degree of copositive approximation by polynomials. Zbl 0532.41007
Leviatan, D.
6
1983
On comonotone approximation. Zbl 0476.41008
Beatson, R. K.; Leviatan, D.
6
1983
Degree of copositive approximation. Zbl 0562.41009
Leviatan, D.
2
1983
The behavior of the derivatives of the algebraic polynomials of best approximation. Zbl 0489.41016
Leviatan, D.
17
1982
The rate of monotone spline approximation in the \(L_p\)-norm. Zbl 0516.41010
Leviatan, D.; Mhaskar, H. N.
7
1982
Comonotone approximation by splines of piecewise monotone functions. Zbl 0503.41012
Leviatan, D.; Mhaskar, H. N.
2
1982
Permissible bounds on the coefficients of approximating polynomials with real or complex exponents. Zbl 0356.41002
Golitschek, M.v.; Leviatan, D.
4
1977
...and 34 more Documents
all top 5

Cited by 591 Authors

71 Leviatan, Dany
26 Kopotun, Kirill A.
24 Shevchuk, Igor Oleksandrovych
13 Dzyubenko, German A.
12 Agrawal, Purshottam Narain
12 Zhou, Songping
10 Migliorati, Giovanni
10 Prymak, Andriy V.
9 Mursaleen, Mohammad
9 Narayan, Akil C.
8 Comte, Fabienne
8 DeVore, Ronald A.
8 Ditzian, Zeev
8 Konovalov, Victor N.
8 Nobile, Fabio
8 Rasa, Ioan
7 Cohen, Albert
7 Jakimovski, Amnon
7 Lubinsky, Doron S.
7 Prophet, Michael P.
6 Acu, Ana Maria
6 Doostan, Alireza
6 Hu, Yingkang
6 Marie, Nicolas
6 Sucu, Sezgin
6 Zhou, Tao
5 Adcock, Ben
5 Aktaş, Rabia
5 Ansari, Khursheed Jamal
5 Çekım, Bayram
5 Genon-Catalot, Valentine
5 Nasiruzzaman, Mohammad
5 Petrova, Guergana
5 Petrova, I. L.
5 Sickel, Winfried
5 Taşdelen, Fatma
5 von Golitschek, Manfred
5 Webster, Clayton G.
5 Xiu, Dongbin
4 Abel, Ulrich
4 Büyükyazıcı, İbrahim
4 Cao, Feilong
4 Damelin, Steven Benjamin
4 Draganov, Borislav R.
4 Gavrea, Ioan
4 Gillette, Andrew
4 Hampton, Jerrad
4 Ịçöz, Gürhan
4 Kolomoitsev, Yurii S.
4 Maiorov, Vitaly Evgen’evich
4 Novak, Erich
4 Pleshakov, M. G.
4 Rand, Alexander
4 Sidorov, Sergeĭ Petrovich
4 Tempone, Raúl F.
4 Ullrich, Tino
4 Xie, Linsen
3 Andrievskii, Vladimir V.
3 Atakut, Çiğdem
3 Bajaj, Chandrajit L.
3 Baxhaku, Behar
3 Braha, Naim Latif
3 Chalmers, Bruce Longworthy
3 Dahlke, Stephan
3 Davydov, Oleg V.
3 Dekel, Shai
3 Dexter, Nick C.
3 Dinh Dũng
3 Gal, Sorin Gheorghe
3 Gavrea, Bogdan I.
3 Guo, Ling
3 Iske, Armin
3 Li, Song
3 Lin, Shaobo
3 Liu, Yongping
3 Mishra, Vishnu Narayan
3 Plonka, Gerlind
3 Rahman, Shagufta
3 Rhoades, Billy E.
3 Serenbay, Sevilay Kırcı
3 Shin, Yeonjong
3 Tietz, Hubert
3 Tran, Hoang Anh
3 Tropp, Joel A.
3 Varma, Serhan
3 Vasil’eva, Anastasiya Andreevna
3 Vértesi, Péter
3 Yu, Xiangming
2 Abbadi, Abdelaziz
2 Ali, Mahvish
2 Aljohani, Abdulrahman F.
2 Anastassiou, George Angelos
2 Araci, Serkan
2 Bak, Joseph
2 Bartel, Felix
2 Berisha, Artan
2 Bhatnagar, Dhruv
2 Blanchard, Jeffrey D.
2 Cardenas, Juan M.
2 Chkifa, Abdellah
...and 491 more Authors
all top 5

Cited in 164 Serials

93 Journal of Approximation Theory
25 Constructive Approximation
15 Mathematics of Computation
12 Ukrainian Mathematical Journal
11 Journal of Computational and Applied Mathematics
10 Israel Journal of Mathematics
10 Journal of Computational Physics
10 Journal of Mathematical Analysis and Applications
10 Mathematische Zeitschrift
10 Results in Mathematics
10 Acta Mathematica Hungarica
10 Journal of Complexity
10 SIAM Journal on Scientific Computing
7 Computer Methods in Applied Mechanics and Engineering
6 Proceedings of the American Mathematical Society
6 Advances in Computational Mathematics
6 Journal of Inequalities and Applications
6 Foundations of Computational Mathematics
6 Mediterranean Journal of Mathematics
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Computers & Mathematics with Applications
5 Mathematical Notes
5 Applied Mathematics and Computation
5 Numerical Functional Analysis and Optimization
5 Journal of Scientific Computing
5 Filomat
4 Rocky Mountain Journal of Mathematics
4 Calcolo
4 Mathematische Nachrichten
4 Turkish Journal of Mathematics
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 SMAI Journal of Computational Mathematics
3 Journal d’Analyse Mathématique
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Annals of the Institute of Statistical Mathematics
3 International Journal of Mathematics and Mathematical Sciences
3 Integral Equations and Operator Theory
3 SIAM Journal on Numerical Analysis
3 Transactions of the American Mathematical Society
3 Acta Mathematicae Applicatae Sinica. English Series
3 Applied Mathematics Letters
3 Applied Mathematics. Series B (English Edition)
3 Applied and Computational Harmonic Analysis
3 Abstract and Applied Analysis
3 Mathematical Inequalities & Applications
3 Acta Mathematica Sinica. English Series
3 Journal of the Australian Mathematical Society
3 Analysis in Theory and Applications
3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
3 Electronic Journal of Statistics
2 Acta Mathematica Academiae Scientiarum Hungaricae
2 Mathematical Methods in the Applied Sciences
2 Scandinavian Journal of Statistics
2 The Annals of Statistics
2 Inventiones Mathematicae
2 Journal of Multivariate Analysis
2 Journal of Soviet Mathematics
2 Mathematische Annalen
2 Mathematics and Computers in Simulation
2 Mathematica Slovaca
2 Numerische Mathematik
2 Tôhoku Mathematical Journal. Second Series
2 Neural Networks
2 Japan Journal of Industrial and Applied Mathematics
2 SIAM Review
2 The Journal of Analysis
2 Russian Journal of Mathematical Physics
2 Fractals
2 Positivity
2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
2 International Journal of Wavelets, Multiresolution and Information Processing
2 Acta Numerica
2 Complex Analysis and Operator Theory
2 SIAM/ASA Journal on Uncertainty Quantification
2 Journal of Function Spaces
2 Mathematical Foundations of Computing
1 Analysis Mathematica
1 Applicable Analysis
1 Classical and Quantum Gravity
1 Computer Physics Communications
1 Indian Journal of Pure & Applied Mathematics
1 Metrika
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 The Annals of Probability
1 Archiv der Mathematik
1 BIT
1 Canadian Journal of Mathematics
1 Compositio Mathematica
1 Demonstratio Mathematica
1 International Journal for Numerical Methods in Engineering
1 Journal of Functional Analysis
1 Kyungpook Mathematical Journal
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Quaestiones Mathematicae
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Applicandae Mathematicae
1 Journal of Symbolic Computation
1 Computational Mechanics
1 Numerical Methods for Partial Differential Equations
...and 64 more Serials
all top 5

Cited in 38 Fields

374 Approximations and expansions (41-XX)
119 Numerical analysis (65-XX)
57 Harmonic analysis on Euclidean spaces (42-XX)
51 Statistics (62-XX)
25 Partial differential equations (35-XX)
24 Real functions (26-XX)
24 Functional analysis (46-XX)
24 Computer science (68-XX)
23 Probability theory and stochastic processes (60-XX)
21 Sequences, series, summability (40-XX)
20 Information and communication theory, circuits (94-XX)
18 Special functions (33-XX)
18 Operator theory (47-XX)
11 Functions of a complex variable (30-XX)
8 Integral transforms, operational calculus (44-XX)
5 Combinatorics (05-XX)
5 Measure and integration (28-XX)
5 Biology and other natural sciences (92-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Difference and functional equations (39-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Mechanics of deformable solids (74-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Systems theory; control (93-XX)
3 Number theory (11-XX)
3 Mechanics of particles and systems (70-XX)
3 Fluid mechanics (76-XX)
3 Operations research, mathematical programming (90-XX)
2 Potential theory (31-XX)
1 Field theory and polynomials (12-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)

Citations by Year

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