On-line available papers
Some estimates for convex polynomial approximation in $L_p$
(with Yingkang Hu and Xiang-Ming Yu)
Approximation of Monotone Functions: A Counter Example
(with Ronald A. DeVore and Igor A. Shevchuk)
Nearly comonotone approximation
(with Igor A. Shevchuk)
On monotone and convex approximation by splines with free knots
(with Aleksei Shadrin)
Degree of simultaneous coconvex polynomial approximation
(with K. Kopotun)
Some positive results and counterexamples in comonotone approximation II
(with Igor A. Shevchuk)
Constants in comonotone polynomial approximation-- a survey
(with Igor A. Shevchuk)
Nearly comonotone approximation II
(with Igor A. Shevchuk)
More on comonotone polynomial approximation
(with Igor A. Shevchuk)
Interpolatory pointwise estimates for polynomial approximation
(with Heinz H. Gonska, Igor A. Shevchuk and H.-Joerg Wenz)
Shape-preserving approximation by polynomials
Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval
(with V. N. Konovalov)
Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval II
(with V. N. Konovalov)
Estimates on the approximation of 3-monotone functions by 3-monotone quadratic splines
(with V. N. Konovalov)
Wavelet decompositions of non-refinable shift invariant spaces
(with Shai Dekel)
Shape-preserving widths of weighted Sobolev-type classes of positive, monotone, and convex functions on a finite interval
(with V. N. Konovalov)
Coconvex approximation
(with Igor A. Shevchuk)
Coconvex polynomial approximation
(with Igor A. Shevchuk)
On the relations between piecewise polynomial and rational approximation in $L_p(R^2)$
(with S. Dekel)
On measuring the efficiency of kernel operators in $L_p(R^d)$
(with S. Dekel)
Shape preserving widths of Sobolev-type classes of s-convex functions on a finite interval
(with V. N. Konovalov)
Free-knot splines approximation of s-monotone functions
(with V. N. Konovalov)
On bivariate smoothness spaces associated with nonlinear approximation
(with S. Dekel and M. Sharir)
The Bramble-Hilbert lemma for convex domains
(with S. Dekel)
Whitney estimates for convex domains with applications to multivariate piecewise polynomial approximation
(with S. Dekel)
Kolmogorov and linear widths of Sobolev-type classes of s-monotone functions
(with J. Gilewicz and V. N. Konovalov)
Widths of Sobolev-type classes with quasi-seminorms
(with Z. Ditzian and V. N. Konovalov)
Adaptive multivariate approximation using binary space partitions and geometric wavelets,
(with S. Dekel)
Simultaneous approximation by greedy algorithms
(with V. N. Temlyakov)
Simultaneous greedy approximation in Banach spaces
(with V. N. Temlyakov)
``Convex approximation in the uniform norm: conclusion"
(with K. Kopotun and I. A. Shevchuk)
``Coconvex approximation in the uniform norm: the final frontier"
(with K. Kopotun and I. A. Shevchuk)
``On 3-monotone approximation by piecewise polynomials"
(with A. V. Prymak)
Approximation by polynomials and ridge functions of classes of s-monotone radial functions
(with V. N. Konovalov and V. E. Maiorov)
Approximation of Sobolev classes by polynomials and ridge functions
(with V. N. Konovalov and V. E. Maiorov)
``Nikolskii-type estimates for coconvex approximation of functions with one inflection point"
(with G. Dzyubenko and I. A. Shevchuk)
``Coconvex pointwise approximation"
(with G. Dzyubenko and I. A. Shevchuk)
``Uniform and pointwise shape preserving approximation (SPA) by algebraic polynomials"
(with K. Kopotun, A. Prymak and I. A. Shevchuk)
``The degree of shape preserving weighted polynomial approximation"
(with Doron Lubinsky)
``Pointwise estimates for 3-monotone approximation"
(with A. Bondarenko and A. Prymak)
``On 3-monotone approximation by piecewise polynomials"
(with D. V. Radchenko and I. A. Shevchuk)
``65 years since the paper `On the value of the best approximation of functions having a real singular point' by I. I. Ibragimov"
(with I. A. Shevchuk)
``On the stability and accuracy of least squares approximations"
(with Albert Cohen and Mark A. Davenport)
"Positive results and counterexamples in comonotone approximation II"
(with I. A. Shevchuk and O. V. Vlasiuk)
"New moduli of smoothness: weighted DT moduli revisited and applied"
(with K. Kopotun and I. A. Shevchuk)
"Monotone trigonometric approximation"
(with Jean Sidon)
"Constrained approximation with Jacobi weights"
(with K. A. Kopotun and I. A. Shevchuk)
"Jackson type estimates for piecewise q-monotone approximation, q\ge 3, are not valid"
(with I. A. Shevchuk)
"Yet another look at positive linear approximation operators, q-monotonicity and applications"
(with K. Kopotun, A. Prymak and I. A. Shevchuk)
"Comparing the degrees of unconstrained and shape preserving approximation by polynomials"
(with I. A. Shevchuk)
"A note on Hermite interpolation"
(with A. Jakimovski)
"On some properties of moduli of smoothness with Jacobi weights"
(with K. Kopotun and I. A. Shevchuk)
"Interpolatory estimates in monotone piecewise polynomial approximation" <\A> (with I. L. Petrova)
"Interpolatory pointwise estimates in monotone polynomial approximation"
(with K. Kopotun and I. A. Shevchuk)
"On moduli of smoothness with Jacobi weights"
(with K. Kopotun and I. A. Shevchuk)
"On one estimate of divided differences and its applications"
(with K. Kopotun and I. A. Shevchuk)
"Interpolatory estimates for convex piecewise polynomial approximation"
(with K. Kopotun and I. A. Shevchuk)
"Uniform and pointwise shape preserving approximation (SPA) by algebraic polynomials: an update"
(with K. Kopotun and I. A. Shevchuk)