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Kopotun, Kirill A.

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Author ID: kopotun.kirill-a Recent zbMATH articles by "Kopotun, Kirill A."
Published as: Kopotun, K.; Kopotun, K. A.; Kopotun, Kirill; Kopotun, Kirill A.
Documents Indexed: 56 Publications since 1992, including 1 Book

Publications by Year

Citations contained in zbMATH

43 Publications have been cited 175 times in 86 Documents Cited by Year
Pointwise and uniform estimates for convex approximation of functions by algebraic polynomials. Zbl 0799.41008
Kopotun, Kirill A.
16
1994
Uniform and pointwise shape preserving approximation by algebraic polynomials. Zbl 1296.41001
Kopotun, K. A.; Leviatan, D.; Prymak, A.; Shevchuk, I. A.
15
2011
New moduli of smoothness: weighted DT moduli revisited and applied. Zbl 1329.41020
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
9
2015
The degree of coconvex polynomial approximation. Zbl 0914.41005
Kopotun, K.; Leviatan, D.; Shevchuk, I. A.
9
1999
Simultaneous approximation by algebraic polynomials. Zbl 0876.41006
Kopotun, K.
8
1996
Convex polynomial approximation in the uniform norm: conclusion. Zbl 1102.41021
Kopotun, K. A.; Levitan, D.; Shevchuk, I. A.
7
2005
On \(k\)-monotone approximation by free knot splines. Zbl 1031.41007
Kopotun, Kirill; Shadrin, Alexei
7
2003
On copositive approximation by algebraic polynomials. Zbl 0844.41013
Kopotun, Kirill
7
1995
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
A note on simultaneous approximation in \(L_ p[-1,1] (1\leq p < \infty)\). Zbl 0873.41007
Kopotun, Kirill
6
1995
Comonotone polynomial approximation in \(L_p[-1,1], 0<p\leq\infty\). Zbl 0904.41011
Kopotun, K.; Leviatan, D.
5
1997
On positive and copositive polynomial and spline approximation in \(L_ p[-1,1],\quad 0<p<\infty\). Zbl 0868.41014
Hu, Y. K.; Kopotun, K. A.; Yu, X. M.
5
1996
Uniform estimates of monotone and convex approximation of smooth functions. Zbl 0818.41015
Kopotun, Kirill A.
5
1995
Polynomial approximation with doubling weights having finitely many zeros and singularities. Zbl 1323.41007
Kopotun, Kirill A.
4
2015
Approximation of \(k\)-monotone functions. Zbl 0910.41011
Kopotun, Kirill A.
4
1998
Constrained approximation in Sobolev spaces. Zbl 0879.41006
Hu, Y. K.; Kopotun, K. A.; Yu, X. M.
4
1997
On some permanental conjectures. Zbl 0795.15016
Kopotun, Kirill A.
4
1994
Uniform estimates of the coconvex approximation of functions by polynomials. Zbl 0794.41004
Kopotun, K. A.
4
1992
Constrained approximation with Jacobi weights. Zbl 1347.41019
Kopotun, Kirill; Leviatan, Dany; Shevchuk, Igor
3
2016
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
On \(K\)-monotone polynomial and spline approximation in \(L_ p\), \(0<p<\infty\) (quasi)norm. Zbl 1137.41329
Kopotun, Kirill A.
3
1995
Coconvex polynomial approximation of twice differentiable functions. Zbl 0840.41014
Kopotun, Kirill A.
3
1995
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
Polynomial approximation with doubling weights. Zbl 1363.41011
Kopotun, K. A.
2
2015
On moduli of smoothness of \(k\)-monotone functions and applications. Zbl 1169.41001
Kopotun, Kirill
2
2009
Constrained spline smoothing. Zbl 1175.65024
Kopotun, K.; Leviatan, D.; Prymak, A. V.
2
2008
Univariate splines: equivalence of moduli of smoothness and applications. Zbl 1119.41007
Kopotun, Kirill A.
2
2007
On equivalence of moduli of smoothness of splines in \(\mathbb {L}_{p}, 0 < p < 1\). Zbl 1106.41011
Kopotun, Kirill A.
2
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
Weakly nonoscillatory schemes for scalar conservation laws. Zbl 1028.65093
Kopotun, Kirill; Neamtu, Marian; Popov, Bojan
2
2003
Whitney theorem of interpolatory type for \(k\)-monotone functions. Zbl 0989.41004
Kopotun, K. A.
2
2001
Weak copositive and interwining approximation. Zbl 0920.41006
Hu, Y. K.; Kopotun, K. A.; Yu, X. M.
2
1999
Uniform polynomial approximation with \(A^{\ast}\) weights having finitely many zeros. Zbl 1337.30051
Kopotun, Kirill A.
1
2016
Weighted moduli of smoothness of \(k\)-monotone functions and applications. Zbl 1310.41004
Kopotun, Kirill A.
1
2015
Three-monotone spline approximation. Zbl 1208.41004
Dzyubenko, G. A.; Kopotun, K. A.; Prymak, A. V.
1
2010
Convex polynomial and ridge approximation of Lipschitz functions in \(\mathbb R^d\). Zbl 1194.41035
Konovalov, V. N.; Kopotun, K. A.; Maiorov, V. E.
1
2010
On multivariate adaptive approximation. Zbl 0955.41011
Hu, Y. K.; Kopotun, K. A.; Yu, X. M.
1
2000
Degree of simultaneous coconvex polynomial approximation. Zbl 0926.41014
Kopotun, K.; Leviatan, D.
1
1998
A note on the convexity of the sum of subpermanents. Zbl 0861.15026
Kopotun, Kirill A.
1
1996
Unconstrained and convex polynomial approximation in \(C[-1,1]\). Zbl 0837.41015
Kopotun, K. A.
1
1995
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
Constrained approximation with Jacobi weights. Zbl 1347.41019
Kopotun, Kirill; Leviatan, Dany; Shevchuk, Igor
3
2016
Uniform polynomial approximation with \(A^{\ast}\) weights having finitely many zeros. Zbl 1337.30051
Kopotun, Kirill A.
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
Polynomial approximation with doubling weights having finitely many zeros and singularities. Zbl 1323.41007
Kopotun, Kirill A.
4
2015
Polynomial approximation with doubling weights. Zbl 1363.41011
Kopotun, K. A.
2
2015
Weighted moduli of smoothness of \(k\)-monotone functions and applications. Zbl 1310.41004
Kopotun, Kirill A.
1
2015
New moduli of smoothness. Zbl 06694546
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
6
2014
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
Three-monotone spline approximation. Zbl 1208.41004
Dzyubenko, G. A.; Kopotun, K. A.; Prymak, A. V.
1
2010
Convex polynomial and ridge approximation of Lipschitz functions in \(\mathbb R^d\). Zbl 1194.41035
Konovalov, V. N.; Kopotun, K. A.; Maiorov, V. E.
1
2010
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
On moduli of smoothness of \(k\)-monotone functions and applications. Zbl 1169.41001
Kopotun, Kirill
2
2009
Constrained spline smoothing. Zbl 1175.65024
Kopotun, K.; Leviatan, D.; Prymak, A. V.
2
2008
Univariate splines: equivalence of moduli of smoothness and applications. Zbl 1119.41007
Kopotun, Kirill A.
2
2007
On equivalence of moduli of smoothness of splines in \(\mathbb {L}_{p}, 0 < p < 1\). Zbl 1106.41011
Kopotun, Kirill A.
2
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
Convex polynomial approximation in the uniform norm: conclusion. Zbl 1102.41021
Kopotun, K. A.; Levitan, D.; Shevchuk, I. A.
7
2005
On \(k\)-monotone approximation by free knot splines. Zbl 1031.41007
Kopotun, Kirill; Shadrin, Alexei
7
2003
Weakly nonoscillatory schemes for scalar conservation laws. Zbl 1028.65093
Kopotun, Kirill; Neamtu, Marian; Popov, Bojan
2
2003
Whitney theorem of interpolatory type for \(k\)-monotone functions. Zbl 0989.41004
Kopotun, K. A.
2
2001
On multivariate adaptive approximation. Zbl 0955.41011
Hu, Y. K.; Kopotun, K. A.; Yu, X. M.
1
2000
The degree of coconvex polynomial approximation. Zbl 0914.41005
Kopotun, K.; Leviatan, D.; Shevchuk, I. A.
9
1999
Weak copositive and interwining approximation. Zbl 0920.41006
Hu, Y. K.; Kopotun, K. A.; Yu, X. M.
2
1999
Approximation of \(k\)-monotone functions. Zbl 0910.41011
Kopotun, Kirill A.
4
1998
Degree of simultaneous coconvex polynomial approximation. Zbl 0926.41014
Kopotun, K.; Leviatan, D.
1
1998
Comonotone polynomial approximation in \(L_p[-1,1], 0<p\leq\infty\). Zbl 0904.41011
Kopotun, K.; Leviatan, D.
5
1997
Constrained approximation in Sobolev spaces. Zbl 0879.41006
Hu, Y. K.; Kopotun, K. A.; Yu, X. M.
4
1997
Simultaneous approximation by algebraic polynomials. Zbl 0876.41006
Kopotun, K.
8
1996
On positive and copositive polynomial and spline approximation in \(L_ p[-1,1],\quad 0<p<\infty\). Zbl 0868.41014
Hu, Y. K.; Kopotun, K. A.; Yu, X. M.
5
1996
A note on the convexity of the sum of subpermanents. Zbl 0861.15026
Kopotun, Kirill A.
1
1996
On copositive approximation by algebraic polynomials. Zbl 0844.41013
Kopotun, Kirill
7
1995
A note on simultaneous approximation in \(L_ p[-1,1] (1\leq p < \infty)\). Zbl 0873.41007
Kopotun, Kirill
6
1995
Uniform estimates of monotone and convex approximation of smooth functions. Zbl 0818.41015
Kopotun, Kirill A.
5
1995
On \(K\)-monotone polynomial and spline approximation in \(L_ p\), \(0<p<\infty\) (quasi)norm. Zbl 1137.41329
Kopotun, Kirill A.
3
1995
Coconvex polynomial approximation of twice differentiable functions. Zbl 0840.41014
Kopotun, Kirill A.
3
1995
Unconstrained and convex polynomial approximation in \(C[-1,1]\). Zbl 0837.41015
Kopotun, K. A.
1
1995
Pointwise and uniform estimates for convex approximation of functions by algebraic polynomials. Zbl 0799.41008
Kopotun, Kirill A.
16
1994
On some permanental conjectures. Zbl 0795.15016
Kopotun, Kirill A.
4
1994
Uniform estimates of the coconvex approximation of functions by polynomials. Zbl 0794.41004
Kopotun, K. A.
4
1992

Citations by Year