## Publications of K. Kopotun:
Note: some of the files may not be the very final versions of papers and
may contain misprints corrected during proofreading of the galley proofs. · (with D. Leviatan
and I. A. Shevchuk) Exact pointwise estimates for
polynomial approximation with Hermite interpolation. (arxiv.org version) · (with D. Leviatan,
I. Petrova and I. A. Shevchuk)
Interpolatory pointwise estimates for convex
polynomial approximation. · (with D. Leviatan
and I. A. Shevchuk) Uniform and pointwise shape
preserving approximation (SPA) by algebraic polynomials: an update. · (with D. Leviatan
and I. A. Shevchuk) On one estimate of divided
differences and its applications. · (with D. Leviatan
and I. A. Shevchuk) On some properties of moduli of
smoothness with Jacobi weights. · (with D. Leviatan
and I. A. Shevchuk) Interpolatory
estimates for convex piecewise polynomial approximation. · (with D. Leviatan
and I. A. Shevchuk) On weighted approximation with
Jacobi weights. · (with D. Leviatan
and I. A. Shevchuk) On moduli of smoothness with
Jacobi weights. · (with D. Leviatan
and I. A. Shevchuk) Interpolatory
pointwise estimates for monotone polynomial approximation. · (with D. Leviatan,
A. Prymak and I. A. Shevchuk)
Yet another look at positive linear operators, q-monotonicity and applications.
· Uniform polynomial approximation
with · (with D. Leviatan
and I. A. Shevchuk) Constrained approximation with
Jacobi weights. · Polynomial approximation with
doubling weights having finitely many inner zeros and singularities. · Polynomial approximation with doubling
weights. · Weighted moduli of smoothness of
k-monotone functions and applications. · (with D. Leviatan
and I. A. Shevchuk) New moduli of smoothness:
weighted DT moduli revisited and applied. · (with D. Leviatan
and I. A. Shevchuk) New moduli of smoothness. · (with D. Leviatan,
A. Prymak and I. A. Shevchuk)
Uniform and Pointwise Shape Preserving Approximation by Algebraic Polynomials. · (with G. Dzyubenko and A. Prymak) Three-monotone spline approximation. · (with D. Leviatan
and I. Shevchuk) Are the degrees of best (co)convex
and unconstrained polynomial approximation the same? II. · (with B. Popov) Moduli of Smoothness
of Splines and Applications in Constrained Approximation. · (with V. Konovalov
and V. Maiorov) Convex Polynomial and Ridge
Approximation of Lipschitz Functions in R Rocky Mountain
J. Math 40, 3 (2010): 957-976. (.pdf)· (with D. Leviatan
and A. Prymak) Nearly Monotone and Nearly Convex
Approximation by Smooth Splines in J. of
Approximation Theory 160 (2009): 103-112. (.pdf)· (with D. Leviatan
and I. Shevchuk) Are the degrees of best (co)convex
and unconstrained polynomial approximation the same? · On moduli of smoothness of k-monotone
functions and applications. · (with D. Leviatan
and A. Prymak) Constrained Spline Smoothing. · (with V. N. Konovalov)
Kolmogorov, Linear and Pseudo-Dimensional Widths of Classes of 0<p<1.
Canadian Math. Bulletin 51, 2 (2008): 236-248. (.pdf)· Univariate Splines: Equivalence of
Moduli of Smoothness and Applications. · (with D. Leviatan
and A. Prymak) Nearly Monotone Spline Approximation
in Proc.
Amer. Math. Soc. 134, 7 (2006), 2037-2047. (.pdf)· On Equivalence of Moduli of
Smoothness of Splines in 0<p<1. J. of
Approximation Theory 143, 1 (2006), 36-43. (.pdf)· (with D. Leviatan
and I. Shevchuk) Coconvex
Approximation in the Uniform Norm:
the Final Frontier. · (with D. Leviatan
and I. Shevchuk) Convex Polynomial Approximation in
the Uniform Norm: Conclusion. · On · (with A. Shadrin)
On · (with M. Neamtu
and B. Popov) Weakly Nonoscillatory Schemes for
Scalar Conservation Laws. · Whitney theorem of interpolatory
type for k-monotone functions. · (with Y. K. Hu and X. M. Yu) On
Multivariate Adaptive Approximation. · (with Y. K. Hu and X. M. Yu)
Modified Adaptive Algorithms. · (with Y. K. Hu and X. M. Yu) Weak
Copositive and Intertwining Approximation. · (with D. Leviatan
and I. A. Shevchuk) The degree of coconvex
polynomial approximation. · Approximation of · (with D. Leviatan)
Degree of Simultaneous Coconvex Polynomial
Approximation. · (with D. Leviatan ) Comonotone polynomial approximation in Acta Math. Hungar. 77, 4 (1997): 301-310. (.pdf)· (with Y. K. Hu and X. M. Yu)
Constrained Approximation in Sobolev Spaces. · (with Y. K. Hu and X. M. Yu) On
Positive and Copositive Polynomial and Spline Approximation in J.
of Approximation Theory 86, 3 (1996): 320-334. (.pdf)· A Note on the Convexity of the Sum
of Subpermanents. · Simultaneous Approximation by
Algebraic Polynomials. · On · On Copositive Approximation by
Algebraic Polynomials. · Coconvex Polynomial Approximation of Twice
Differentiable Functions. · A Note on Simultaneous Approximation
in Analysis 15
(1995): 151-158. (.pdf) · Unconstrained and Convex Polynomial
Approximation in C[-1,1]. · Uniform Estimates of Monotone and
Convex Approximation of Smooth Functions. · Pointwise and Uniform Estimates for
Convex Approximation of Functions by Algebraic Polynomials. · On Some Permanental
Conjectures. · (with V. V. Listopad)
Remarks on Monotone and Convex Approximation by Algebraic Polynomials. · Uniform Estimates of Convex
Approximation of Functions by Polynomials. · |