Wavelet compression and nonlinear n-widths. - Ronald A. DeVore; George Kyriazis; Dany Leviatan; Vladimir M. Tikhomirov (Adv. Comput. Math., 1993)

Kolmogorov and Linear Widths of Weighted Sobolev-Type Classes on a Finite Interval, II. - Viktor N. Konovalov; Dany Leviatan (J. Approx. Theory, 2001)

Coconvex Approximation. - Dany Leviatan; Igor A. Shevchuk (J. Approx. Theory, 2002)

Coconvex polynomial approximation. - Dany Leviatan; Igor A. Shevchuk (J. Approx. Theory, 2003)

On Measuring the Efficiency of Kernel Operators in Lp(Rd). - Shai Dekel; Dany Leviatan (Adv. Comput. Math., 2004)

Free-knot Splines Approximation of s-monotone Functions. - Viktor N. Konovalov; Dany Leviatan (Adv. Comput. Math., 2004)

Whitney Estimates for Convex Domains with Applications to Multivariate Piecewise Polynomial Approximation. - Shai Dekel; Dany Leviatan (Found. Comput. Math., 2004)

The Bramble-Hilbert Lemma for Convex Domains. - Shai Dekel; Dany Leviatan (SIAM J. Math. Anal., 2004)

On 3-monotone approximation by piecewise polynomials. - Dany Leviatan; A. V. Prymak (J. Approx. Theory, 2005)

Simultaneous greedy approximation in Banach spaces. - Dany Leviatan; Vladimir N. Temlyakov (J. Complex., 2005)

Adaptive Multivariate Approximation Using Binary Space Partitions and Geometric Wavelets. - Shai Dekel; Dany Leviatan (SIAM J. Numer. Anal., 2005)

Simultaneous approximation by greedy algorithms. - Dany Leviatan; Vladimir N. Temlyakov (Adv. Comput. Math., 2006)

Widths and shape-preserving widths of Sobolev-type classes of s-monotone functions. - Jacek Gilewicz; Viktor N. Konovalov; Dany Leviatan (J. Approx. Theory, 2006)

Freeknot splines approximation of Sobolev-type classes of s -monotone functions. - Viktor N. Konovalov; Dany Leviatan (Adv. Comput. Math., 2007)

Approximation by polynomials and ridge functions of classes of s-monotone radial functions. - Viktor N. Konovalov; Dany Leviatan; V. E. Maiorov (J. Approx. Theory, 2008)

Constrained Spline Smoothing. - Kirill A. Kopotun; Dany Leviatan; A. V. Prymak (SIAM J. Numer. Anal., 2008)

Approximation of Sobolev classes by polynomials and ridge functions. - Viktor N. Konovalov; Dany Leviatan; V. E. Maiorov (J. Approx. Theory, 2009)

Nearly monotone and nearly convex approximation by smooth splines in Lp, p>0. - Kirill A. Kopotun; Dany Leviatan; A. V. Prymak (J. Approx. Theory, 2009)

Pointwise estimates for 3-monotone approximation. - Andriy V. Bondarenko; Dany Leviatan; Andriy Prymak (J. Approx. Theory, 2012)

The degree of shape preserving weighted polynomial approximation. - Dany Leviatan; Doron S. Lubinsky (J. Approx. Theory, 2012)

On the Stability and Accuracy of Least Squares Approximations. - Albert Cohen 002; Mark A. Davenport; Dany Leviatan (Found. Comput. Math., 2013)

Positive results and counterexamples in comonotone approximation II. - Dany Leviatan; Igor A. Shevchuk; O. V. Vlasiuk (J. Approx. Theory, 2014)

Yet another look at positive linear operators, q-monotonicity and applications. - Kirill A. Kopotun; Dany Leviatan; Andriy Prymak; Igor A. Shevchuk (J. Approx. Theory, 2016)

Comparing the degrees of unconstrained and shape preserving approximation by polynomials. - Dany Leviatan; Igor A. Shevchuk (J. Approx. Theory, 2016)

Interpolatory estimates in monotone piecewise polynomial approximation. - Dany Leviatan; I. L. Petrova (J. Approx. Theory, 2017)

Corrigendum to "Interpolatory estimates in monotone piecewise polynomial approximation" [J. Approx. Theory 223 (2017) 1-8]. - Dany Leviatan; I. L. Petrova (J. Approx. Theory, 2018)

Correction to: On the Stability and Accuracy of Least Squares Approximations. - Albert Cohen 002; Mark A. Davenport; Dany Leviatan (Found. Comput. Math., 2019)

On weighted approximation with Jacobi weights. - Kirill A. Kopotun; Dany Leviatan; Igor A. Shevchuk (J. Approx. Theory, 2019)

Exact order of pointwise estimates for polynomial approximation with Hermite interpolation. - Kirill A. Kopotun; Dany Leviatan; Igor A. Shevchuk (J. Approx. Theory, 2021)

Comonotone approximation of periodic functions. - Dany Leviatan; M. V. Shchehlov; I. O. Shevchuk (J. Approx. Theory, 2024)