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Leviatan, Dany

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Author ID: leviatan.dany Recent zbMATH articles by "Leviatan, Dany"
Published as: Leviatan, D.; Leviatan, Dany
External Links: MGP · Wikidata
Documents Indexed: 159 Publications since 1966, including 2 Books
Reviewing Activity: 166 Reviews
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Serials

32 Journal of Approximation Theory
10 Constructive Approximation
7 Israel Journal of Mathematics
7 Proceedings of the American Mathematical Society
5 Mathematische Zeitschrift
5 Advances in Computational Mathematics
4 Journal of Mathematical Analysis and Applications
4 Canadian Mathematical Bulletin
3 Canadian Journal of Mathematics
3 Journal of the London Mathematical Society. Second Series
3 SIAM Journal on Numerical Analysis
3 Acta Mathematica Hungarica
3 SIAM Journal on Mathematical Analysis
3 Foundations of Computational Mathematics
3 Jaen Journal on Approximation
2 Rocky Mountain Journal of Mathematics
2 Ukrainian Mathematical Journal
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
1 Results in Mathematics
1 Tohoku 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 Mediterranean Journal of Mathematics
1 Surveys in Approximation Theory (SAT)
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

122 Publications have been cited 626 times in 389 Documents Cited by Year
On the stability and accuracy of least squares approximations. Zbl 1276.93086
Cohen, Albert; Davenport, Mark A.; Leviatan, Dany
60
2013
Generalized Szasz operators for the approximation in the finite interval. Zbl 0188.36801
Jakimovski, Amnon; Leviatan, D.
39
1969
The Bramble-Hilbert lemma for convex domains. Zbl 1078.41006
Dekel, S.; Leviatan, D.
17
2004
Polynomial approximation in \(L_ p (O<p<1)\). Zbl 0753.41006
DeVore, Ronald A.; Leviatan, Dany; Yu, Xiang Ming
17
1992
The behavior of the derivatives of the algebraic polynomials of best approximation. Zbl 0489.41016
Leviatan, D.
17
1982
Wavelet compression and nonlinear \(n\)-widths. Zbl 0824.65145
DeVore, R. A.; Kyriazis, G.; Leviatan, D.; Tikhomirov, V. M.
16
1993
Monotone and comonotone polynomial approximation revisited. Zbl 0697.41001
Leviatan, D.
16
1988
Pointwise estimates for convex polynomial approximation. Zbl 0617.41009
Leviatan, D.
16
1986
Uniform and pointwise shape preserving approximation by algebraic polynomials. Zbl 1296.41001
Kopotun, K. A.; Leviatan, D.; Prymak, A.; Shevchuk, I. A.
15
2011
Inverse theorem for best polynomial approximation in \(L_ p\), \(0 < p < 1\). Zbl 0793.41016
Ditzian, Z.; Jiang, Dechang; Leviatan, D.
12
1994
Interpolatory pointwise estimates for polynomial approximation. Zbl 0976.41018
Gonska, H. H.; Leviatan, D.; Shevchuk, I. A.; Wenz, H.-J.
11
2000
Nearly comonotone approximation. Zbl 0911.41003
Leviatan, D.; Shevchuk, I. A.
11
1998
A property of approximation operators and applications to Tauberian constants. Zbl 0176.34802
Jakimovski, Amnon; Leviatan, D.
11
1967
Shape-preserving approximation by polynomials. Zbl 0969.41007
Leviatan, D.
10
2000
New moduli of smoothness: weighted DT moduli revisited and applied. Zbl 1329.41020
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
9
2015
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
The degree of coconvex polynomial approximation. Zbl 0914.41005
Kopotun, K.; Leviatan, D.; Shevchuk, I. A.
9
1999
Convex polynomial and spline approximation in \(C[-1,1]\). Zbl 0799.41007
Hu, Yingkang; Leviatan, Dany; Yu, Xiang Ming
9
1994
On the Jackson-Müntz theorem. Zbl 0279.41006
Leviatan, D.
9
1974
Simultaneous polynomial approximation. Zbl 0818.41029
Ditzian, Z.; Jiang, Dechang; Leviatan, D.
8
1993
Whitney estimates for convex domains with applications to multivariate piecewise polynomial approximation. Zbl 1063.41002
Dekel, S.; Leviatan, D.
7
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
Some positive results and counterexamples in comonotone approximation. II. Zbl 0934.41013
Leviatan, D.; Shevchuk, I. A.
7
1999
The rate of monotone spline approximation in the \(L_p\)-norm. Zbl 0516.41010
Leviatan, D.; Mhaskar, H. N.
7
1982
Tauberian constants for generalized Hausdorff transformations. Zbl 0153.38703
Leviatan, D.
7
1968
New moduli of smoothness. Zbl 06694546
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
6
2014
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
Simultaneous approximation by greedy algorithms. Zbl 1096.41026
Leviatan, D.; Temlyakov, V. N.
6
2006
Adaptive multivariate approximation using binary space partitions and geometric wavelets. Zbl 1089.41011
Dekel, S.; Leviatan, D.
6
2005
Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. Zbl 1017.46026
Konovalov, V. N.; Leviatan, D.
6
2002
Approximation of monotone functions: A counter example. Zbl 0958.41012
DeVore, R. A.; Leviatan, D.; Shevchuk, I. A.
6
1997
Copositive polynomial and spline approximation. Zbl 0837.41007
Hu, Yingkang; Leviatan, Dany; Yu, Xiang Ming
6
1995
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
A characterization of totally regular \([J,f(x)]\) transforms. Zbl 0184.08803
Leviatan, D.; Lorch, L.
6
1969
Coconvex polynomial approximation. Zbl 1021.41006
Leviatan, D.; Shevchuk, I. A.
5
2003
Coconvex approximation. Zbl 1057.41012
Leviatan, D.; Shevchuk, I. A.
5
2002
Comonotone polynomial approximation in \(L_p[-1,1], 0<p\leq\infty\). Zbl 0904.41011
Kopotun, K.; Leviatan, D.
5
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
\(L_ p\) approximation by reciprocals of trigonometric and algebraic polynomials. Zbl 0686.41004
Devore, Ronald A.; Leviatan, D.; Yu, Xiang Ming
5
1990
Interpolatory estimates in monotone piecewise polynomial approximation. Zbl 1375.41004
Leviatan, D.; Petrova, I. L.
4
2017
Positive results and counterexamples in comonotone approximation. Zbl 1254.41006
Leviatan, D.; Radchenko, D. V.; Shevchuk, I. A.
4
2012
Approximation of Sobolev classes by polynomials and ridge functions. Zbl 1180.41017
Konovalov, V. N.; Leviatan, D.; Maiorov, V. E.
4
2009
Widths and shape-preserving widths of Sobolev-type classes of \(s\)-monotone functions. Zbl 1096.41019
Gilewicz, J.; Konovalov, V. N.; Leviatan, D.
4
2006
On measuring the efficiency of kernel operators in \(L_p(\mathbb R^d)\). Zbl 1056.41010
Dekel, S.; Leviatan, D.
4
2004
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
Estimates on the approximation of 3-monotone functions by 3-monotone quadratic splines. Zbl 1091.41008
Konovalov, V. N.; Leviatan, D.
4
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
Optimal interpolating spaces preserving shape. Zbl 0952.41021
Chalmers, B. L.; Leviatan, D.; Prophet, M. P.
4
1999
Some positive results and counterexamples in comonotone approximation. Zbl 0870.41016
Leviatan, D.; Shevchuk, I. A.
4
1997
On approximation in the \(L^ p\)-norm by reciprocals of polynomials. Zbl 0701.41012
Leviatan, D.; Levin, A. L.; Saff, E. B.
4
1989
Permissible bounds on the coefficients of approximating polynomials with real or complex exponents. Zbl 0356.41002
Golitschek, M.v.; Leviatan, D.
4
1977
Absolute Tauberian conditions for absolute Hausdorff and quasi-Hausdorff methods. Zbl 0199.39103
Leviatan, D.
4
1970
Moment problems and quasi-Hausdorff transformations. Zbl 0164.14603
Leviatan, D.
4
1968
Constrained approximation with Jacobi weights. Zbl 1347.41019
Kopotun, Kirill; Leviatan, Dany; Shevchuk, Igor
3
2016
Pointwise estimates of coconvex approximation. Zbl 1379.41005
Dzyubenko, G. A.; Leviatan, D.; Shevchuk, I. A.
3
2014
Positive results and counterexamples in comonotone approximation. II. Zbl 1292.41003
Leviatan, D.; Shevchuk, I. A.; Vlasiuk, O. V.
3
2014
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
Multivariate approximation and applications. Zbl 0963.00017
Dyn, N. (ed.); Leviatan, D. (ed.); Levin, D. (ed.); Pinkus, A. (ed.)
3
2001
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
Monotone approximation estimates involving the third modulus of smoothnes. Zbl 0939.41015
Leviatan, Dany; Shebchuk, Igor A.
3
1998
Shape preserving approximation by polynomials and splines. Zbl 0863.41003
Leviatan, D.
3
1996
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
Degree of approximation by rational functions with prescribed numerator degree. Zbl 0798.41010
Leviatan, D.; Lubinsky, D. S.
3
1994
Copositive polynomial approximation in C [0,1]. Zbl 0770.41008
Hu, Yingkang; Leviatan, Dany; Yu, Xiang Ming
3
1993
Shape-preserving polynomial approximation in \(C[-1,1]\). Zbl 0782.41010
Ditzian, Z.; Jiang, Dechang; Leviatan, D.
3
1992
An application of a convolution transform to the sequence-to-function analogues of Hausdorff transformations. Zbl 0246.40006
Leviatan, D.
3
1971
Remarks on some Tauberian theorems of Meyer-König, Tietz and Stieglitz. Zbl 0215.17401
Leviatan, D.
3
1971
Completeness and approximation operators. Zbl 0198.08801
Jakimovski, Amnon; Leviatan, D.
3
1969
On the remainder in the approximation of functions by Bernstein-type operators. Zbl 0183.32803
Leviatan, D.
3
1969
Generalized Bernstein power-series. Zbl 0146.29401
Jakimovski, Amnon; Leviatan, D.
3
1967
Generalized Bernstein polynomials. Zbl 0146.29303
Jakimovski, Amnon; Leviatan, D.
3
1966
Interpolatory estimates for convex piecewise polynomial approximation. Zbl 1414.41004
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
2
2019
Interpolatory pointwise estimates for monotone polynomial approximation. Zbl 1377.41001
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
2
2018
Comparing the degrees of unconstrained and shape preserving approximation by polynomials. Zbl 1353.41003
Leviatan, D.; Shevchuk, I. A.
2
2016
Constrained spline smoothing. Zbl 1175.65024
Kopotun, K.; Leviatan, D.; Prymak, A. V.
2
2008
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
On 3-monotone approximation by piecewise polynomials. Zbl 1080.41009
Leviatan, D.; Prymak, A. V.
2
2005
Free-knot splines approximation of \(s\)-monotone functions. Zbl 1037.41004
Konovalov, V. N.; Leviatan, D.
2
2004
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
Convex polynomial approximation in \(L_ p\) \((0<p<1)\). Zbl 0783.41003
DeVore, Ronald A.; Leviatan, Dany
2
1993
Comonotone approximation by splines of piecewise monotone functions. Zbl 0503.41012
Leviatan, D.; Mhaskar, H. N.
2
1982
On the rate of approximation by polynomials with complex exponents. Zbl 0361.41003
Leviatan, D.
2
1977
On restricted best approximation to functions with restricted derivatives. Zbl 0319.41028
Kimchi, E.; Leviatan, D.
2
1976
Generalized polynomial approximation. Zbl 0273.41004
Bak, J.; Leviatan, D.; Newman, D. J.; Tzimbalario, J.
2
1973
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
The Gibbs phenomenon and Lebesgue constants for regular [J,f(x)] means. Zbl 0197.35101
Leviatan, D.; Lorch, L.
2
1970
Some Tauberian theorems for quasi-Hausdorff transforms. Zbl 0169.07101
Leviatan, D.
2
1969
On the representation of functions as Laplace integrals. Zbl 0165.13903
Leviatan, D.
2
1969
A generalized moment problem. Zbl 0173.15005
Leviatan, D.
2
1967
Correction to: “On the stability and accuracy of least squares approximations”. Zbl 1407.93436
Cohen, Albert; Davenport, Mark A.; Leviatan, Dany
1
2019
Corrigendum to: “Interpolatory estimates in monotone piecewise polynomial approximation”. Zbl 06848244
Leviatan, D.; Petrova, I. L.
1
2018
Jackson type estimates for piecewise \(q\)-monotone approximation, \(q\geq 3\), are not valid. Zbl 1347.41007
Leviatan, Dany; Shevchuk, Igor A.
1
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)
1
2016
Monotone trigonometric approximation. Zbl 1321.42004
Leviatan, D.; Sidon, J.
1
2015
Interpolatory estimates for convex piecewise polynomial approximation. Zbl 1414.41004
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
2
2019
Correction to: “On the stability and accuracy of least squares approximations”. Zbl 1407.93436
Cohen, Albert; Davenport, Mark A.; Leviatan, Dany
1
2019
Interpolatory pointwise estimates for monotone polynomial approximation. Zbl 1377.41001
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
2
2018
Corrigendum to: “Interpolatory estimates in monotone piecewise polynomial approximation”. Zbl 06848244
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
Comparing the degrees of unconstrained and shape preserving approximation by polynomials. Zbl 1353.41003
Leviatan, D.; Shevchuk, I. A.
2
2016
Jackson type estimates for piecewise \(q\)-monotone approximation, \(q\geq 3\), are not valid. Zbl 1347.41007
Leviatan, Dany; Shevchuk, Igor A.
1
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)
1
2016
New moduli of smoothness: weighted DT moduli revisited and applied. Zbl 1329.41020
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
9
2015
Monotone trigonometric approximation. Zbl 1321.42004
Leviatan, D.; Sidon, J.
1
2015
New moduli of smoothness. Zbl 06694546
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.
3
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
60
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.
15
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.
1
2010
Approximation of Sobolev classes by polynomials and ridge functions. Zbl 1180.41017
Konovalov, V. N.; Leviatan, D.; Maiorov, V. E.
4
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.
2
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.
4
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
The Bramble-Hilbert lemma for convex domains. Zbl 1078.41006
Dekel, S.; Leviatan, D.
17
2004
Whitney estimates for convex domains with applications to multivariate piecewise polynomial approximation. Zbl 1063.41002
Dekel, S.; Leviatan, D.
7
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.
5
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
Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. Zbl 1017.46026
Konovalov, V. N.; Leviatan, D.
6
2002
Coconvex approximation. Zbl 1057.41012
Leviatan, D.; Shevchuk, I. A.
5
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
Estimates on the approximation of 3-monotone functions by 3-monotone quadratic splines. Zbl 1091.41008
Konovalov, V. N.; Leviatan, D.
4
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
Multivariate approximation and applications. Zbl 0963.00017
Dyn, N. (ed.); Leviatan, D. (ed.); Levin, D. (ed.); Pinkus, A. (ed.)
3
2001
Interpolatory pointwise estimates for polynomial approximation. Zbl 0976.41018
Gonska, H. H.; Leviatan, D.; Shevchuk, I. A.; Wenz, H.-J.
11
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.
9
1999
Some positive results and counterexamples in comonotone approximation. II. Zbl 0934.41013
Leviatan, D.; Shevchuk, I. A.
7
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; Shebchuk, Igor A.
3
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.
6
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.
16
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
3
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
17
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.
16
1988
Pointwise estimates for convex polynomial approximation. Zbl 0617.41009
Leviatan, D.
16
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.
1
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
On the rate of approximation by polynomials with complex exponents. Zbl 0361.41003
Leviatan, D.
2
1977
On restricted best approximation to functions with restricted derivatives. Zbl 0319.41028
Kimchi, E.; Leviatan, D.
2
1976
A representation theorem for convolution transform with determining function in \(L^p\). Zbl 0328.44007
Danon, Chaim; Leviatan, Dany
1
1976
On the Jackson-Müntz theorem. Zbl 0279.41006
Leviatan, D.
9
1974
On the Jackson Müntz approximation. Zbl 0364.41004
Leviatan, D.
1
1974
Generalized polynomial approximation. Zbl 0273.41004
Bak, J.; Leviatan, D.; Newman, D. J.; Tzimbalario, J.
2
1973
On the mean ergodic theorem and approximation. Zbl 0292.47008
Leviatan, D.; Westphal, U.
1
1973
On the representation of the remainder in the variation diminishing spline approximation. Zbl 0247.41007
Leviatan, D.
1
1973
A representation theorem and approximation operators arising from inequalities involving didfferential operators. Zbl 0241.44014
Leviatan, D.
1
1972
On gamma-type approximation operators. Zbl 0214.31503
Leviatan, D.
1
1972
An application of a convolution transform to the sequence-to-function analogues of Hausdorff transformations. Zbl 0246.40006
Leviatan, D.
3
1971
Remarks on some Tauberian theorems of Meyer-König, Tietz and Stieglitz. Zbl 0215.17401
Leviatan, D.
3
1971
A generalization of the mean ergodic theorem. Zbl 0212.08402
Leviatan, D.; Ramanujan, M. S.
2
1971
...and 22 more Documents
all top 5

Cited by 425 Authors

60 Leviatan, Dany
23 Kopotun, Kirill A.
17 Shevchuk, Igor A.
11 Zhou, Songping
9 Migliorati, Giovanni
8 Ditzian, Zeev
8 Dzyubenko, German A.
8 Konovalov, Victor N.
8 Prymak, Andriy V.
7 Agrawal, Purshottam Narain
7 Jakimovski, Amnon
7 Narayan, Akil C.
7 Nobile, Fabio
6 Hu, Yingkang
6 Mursaleen, Mohammad
6 Prophet, Michael P.
6 von Golitschek, Manfred
6 Zhou, Tao
5 Cohen, Albert
5 Lubinsky, Doron S.
5 Sickel, Winfried
5 Sucu, Sezgin
5 Xiu, Dongbin
4 Ansari, Khursheed Jamal
4 Cao, Feilong
4 DeVore, Ronald A.
4 Doostan, Alireza
4 Gillette, Andrew
4 Hampton, Jerrad
4 Maiorov, Vitaly Evgen’evich
4 Novak, Erich
4 Pleshakov, M. G.
4 Rand, Alexander
4 Sidorov, Sergeĭ Petrovich
4 Taşdelen, Fatma
4 Tempone, Raúl F.
4 Vasil’eva, Anastasiya Andreevna
4 Webster, Clayton G.
4 Xie, Linsen
3 Adcock, Ben
3 Aktaş, Rabia
3 Andrievskii, Vladimir V.
3 Bajaj, Chandrajit L.
3 Baxhaku, Behar
3 Büyükyazıcı, İbrahim
3 Chalmers, Bruce Longworthy
3 Dahlke, Stephan
3 Dekel, Shai
3 Dinh Dũng
3 Draganov, Borislav R.
3 Gal, Sorin Gheorghe
3 Guo, Ling
3 Ibáñez, María J.
3 Iske, Armin
3 Kolomoitsev, Yurii S.
3 Li, Song
3 Lin, Shaobo
3 Liu, Yongping
3 Nasiruzzaman, Mohammad
3 Petrova, I. L.
3 Plonka, Gerlind
3 Rhoades, Billy E.
3 Shin, Yeonjong
3 Tietz, Hubert
3 Varma, Serhan
3 Vértesi, Péter
3 Yu, Xiangming
2 Abbadi, A.
2 Acu, Ana Maria
2 Al-Abied, Ahmed Hussin
2 Aljohani, A. F.
2 Anastassiou, George Angelos
2 Araci, Serkan
2 Atakut, Çiğdem
2 Bak, Joseph
2 Berisha, Artan
2 Blanchard, Jeffrey D.
2 Chkifa, Abdellah
2 Comte, Fabienne
2 Damelin, Steven Benjamin
2 Davydov, Oleg V.
2 Dexter, Nick C.
2 Gantumur, Tsogtgerel
2 Genon-Catalot, Valentine
2 Griebel, Michael
2 Gunzburger, Max D.
2 Hansen, Markus
2 Hoischen, Lothar
2 Ibikli, Ertan
2 Ịçöz, Gürhan
2 Kilgore, Theodore A.
2 Livne, Avishai
2 Lomako, Tetiana
2 Maday, Yvon
2 Maizlish, Oleksandr
2 Mastroianni, Giuseppe
2 Mhaskar, Hrushikesh N.
2 Müller, Manfred W.
2 Neer, Trapti
2 Nguyen, Ngoc Cuong
...and 325 more Authors
all top 5

Cited in 109 Serials

82 Journal of Approximation Theory
20 Constructive Approximation
12 Mathematics of Computation
10 Journal of Computational and Applied Mathematics
10 Mathematische Zeitschrift
9 Israel Journal of Mathematics
9 Ukrainian Mathematical Journal
9 Acta Mathematica Hungarica
8 Journal of Computational Physics
8 Journal of Mathematical Analysis and Applications
8 SIAM Journal on Scientific Computing
7 Journal of Complexity
6 Proceedings of the American Mathematical Society
5 Mathematical Notes
5 Applied Mathematics and Computation
5 Numerical Functional Analysis and Optimization
5 Journal of Scientific Computing
5 Advances in Computational Mathematics
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 Computers & Mathematics with Applications
4 Computer Methods in Applied Mechanics and Engineering
4 Rocky Mountain Journal of Mathematics
4 Mathematische Nachrichten
4 Journal of Inequalities and Applications
4 Foundations of Computational Mathematics
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Journal d’Analyse Mathématique
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 International Journal of Mathematics and Mathematical Sciences
3 Integral Equations and Operator Theory
3 Results in Mathematics
3 SIAM Journal on Numerical Analysis
3 Transactions of the American Mathematical Society
3 Acta Mathematicae Applicatae Sinica. English Series
3 Applied and Computational Harmonic Analysis
3 Turkish Journal of Mathematics
3 Abstract and Applied Analysis
3 Acta Mathematica Sinica. English Series
3 Journal of the Australian Mathematical Society
3 Analysis in Theory and Applications
2 Acta Mathematica Academiae Scientiarum Hungaricae
2 Calcolo
2 Journal of Soviet Mathematics
2 Mathematische Annalen
2 Mathematics and Computers in Simulation
2 Tohoku Mathematical Journal. Second Series
2 Applied Mathematics Letters
2 SIAM Review
2 Applied Mathematics. Series B (English Edition)
2 Russian Journal of Mathematical Physics
2 Fractals
2 International Journal of Wavelets, Multiresolution and Information Processing
2 Mediterranean Journal of Mathematics
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 Complex Analysis and Operator Theory
2 Electronic Journal of Statistics
2 SIAM/ASA Journal on Uncertainty Quantification
2 Journal of Function Spaces
2 SMAI Journal of Computational Mathematics
1 Analysis Mathematica
1 Applicable Analysis
1 Metrika
1 Annals of the Institute of Statistical Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 The Annals of Probability
1 The Annals of Statistics
1 Archiv der Mathematik
1 Compositio Mathematica
1 Demonstratio Mathematica
1 International Journal for Numerical Methods in Engineering
1 Journal of Functional Analysis
1 Journal of Multivariate Analysis
1 Kyungpook Mathematical Journal
1 Numerische Mathematik
1 Quaestiones Mathematicae
1 Applied Mathematics and Mechanics. (English Edition)
1 Journal of Symbolic Computation
1 Computational Mechanics
1 Neural Networks
1 Computational Geometry
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Numerical Algorithms
1 Aequationes Mathematicae
1 European Journal of Operational Research
1 Linear Algebra and its Applications
1 SIAM Journal on Mathematical Analysis
1 Applicationes Mathematicae
1 Computational and Applied Mathematics
1 ETNA. Electronic Transactions on Numerical Analysis
1 Honam Mathematical Journal
1 Positivity
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Computational Methods and Function Theory
1 Analysis and Applications (Singapore)
1 Journal of Function Spaces and Applications
1 Bulletin of the American Mathematical Society
1 Proceedings of the Steklov Institute of Mathematics
1 Mathematical Geosciences
1 Tbilisi Mathematical Journal
1 Journal of Nonlinear Science and Applications
...and 9 more Serials

Citations by Year

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