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Shevchuk, Igor A.

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Author ID: shevchuk.igor-a Recent zbMATH articles by "Shevchuk, Igor A."
Published as: Shebchuk, Igor A.; Shevchuk, I. A.; Shevchuk, Igor; Shevchuk, Igor A.
External Links: MGP · Wikidata
Documents Indexed: 75 Publications since 1972, including 1 Book

Publications by Year

Citations contained in zbMATH

49 Publications have been cited 261 times in 99 Documents Cited by Year
Theory of uniform approximation of functions by polynomials. Transl. from the Russian by Dimitry Malyshev, Peter V. Malyshev and Vladimir V. Gorunovich. Zbl 1148.41003
Dzyadyk, Vladislav K.; Shevchuk, Igor A.
34
2008
Approximation of monotone functions by monotone polynomials. Zbl 0782.41013
Shevchuk, I. A.
28
1992
Uniform and pointwise shape preserving approximation by algebraic polynomials. Zbl 1296.41001
Kopotun, K. A.; Leviatan, D.; Prymak, A.; Shevchuk, I. A.
15
2011
Piecewise monotone pointwise approximation. Zbl 0912.41007
Dzyubenko, G. A.; Gilewicz, J.; Shevchuk, I. A.
14
1998
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
Comonotone approximation. Zbl 0908.41003
Gilewicz, J.; Shevchuk, I. A.
11
1996
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
Convex polynomial approximation in the uniform norm: conclusion. Zbl 1102.41021
Kopotun, K. A.; Levitan, D.; Shevchuk, I. A.
7
2005
Some positive results and counterexamples in comonotone approximation. II. Zbl 0934.41013
Leviatan, D.; Shevchuk, I. A.
7
1999
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
Approximation of monotone functions: A counter example. Zbl 0958.41012
DeVore, R. A.; Leviatan, D.; Shevchuk, I. A.
6
1997
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
Constructive characterization of classes of continuous functions of a set \(\mathfrak M\subset\mathbb{C}\) for the \(k-th\) modulus of continuity. Zbl 0431.30025
Shevchuk, I. A.
5
1979
On limiting values of an integral of Cauchy type for functions of Zygmund classes. Zbl 0258.30034
Dzyadyk, V. K.; Shevchuk, I. A.
5
1973
Positive results and counterexamples in comonotone approximation. Zbl 1254.41006
Leviatan, D.; Radchenko, D. V.; Shevchuk, I. A.
4
2012
Some positive results and counterexamples in comonotone approximation. Zbl 0870.41016
Leviatan, D.; Shevchuk, I. A.
4
1997
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
Boundedness by 3 of the Whitney interpolation constant. Zbl 1099.41500
Gilewicz, J.; Kryakin, Yu. V.; Shevchuk, I. A.
3
2002
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
One construction of cubic convex spline. Zbl 0888.41013
Shevchuk, I. A.
3
1997
Counter examples in convex and higher order constrained approximation. Zbl 0846.41006
Leviatan, D.; Shevchuk, I. 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
Comparing the degrees of unconstrained and shape preserving approximation by polynomials. Zbl 1353.41003
Leviatan, D.; Shevchuk, I. A.
2
2016
New phenomena in coconvex approximation. Zbl 1108.41013
Dzyubenko, G. A.; Gilewicz, J.; Shevchuk, I. A.
2
2006
Coconvex approximation in the uniform norm: the final frontier. Zbl 1102.41005
Kopotun, K.; Leviatan, D.; Shevchuk, I. A.
2
2006
Constants in comonotone polynomial approximation. – A survey. Zbl 0938.41002
Leviatan, L.; Shevchuk, I. A.
2
1999
One example in monotone approximation. Zbl 0868.41015
Shevchuk, I. A.
2
1996
Uniform estimates for monotonic polynomial approximation. Zbl 0822.41015
Dzyubenko, G. A.; Listopad, V. V.; Shevchuk, I. A.
2
1993
Properties of the Dzyadyk polynomial kernels on a closed segment. Zbl 0731.41008
Shevchuk, I. A.
2
1989
On a constructive characterization of functions from the classes D\(^r H^{\omega_2(t)}\) on closed sets with a piecewise smooth boundary. Zbl 0261.30028
Shevchuk, I. A.
2
1973
Jackson type estimates for piecewise \(q\)-monotone approximation, \(q\geq 3\), are not valid. Zbl 1347.41007
Leviatan, Dany; Shevchuk, Igor A.
1
2016
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
Uniform estimates for polynomial approximation in domains with corners. Zbl 1089.30033
Abdullayev, F. G.; Shevchuk, I. A.
1
2005
Linear bounded operator for extension of traces of differentiable functions on \(\mathbb R\). Zbl 1113.41004
Shevchuk, I. A.; Zhelnov, O. D.
1
2004
Nearly coconvex approximation. Zbl 1044.41003
Leviatan, D.; Shevchuk, I. A.
1
2002
Coconvex pointwise approximation. Zbl 1019.41003
Dzyubenko, G. A.; Gilewicz, J.; Shevchuk, I. A.
1
2002
Whitney’s inequality and coapproximation. Zbl 0852.41015
Shevchuk, I. A.
1
1995
On coapproximation of monotone functions. Zbl 0719.41011
Shevchuk, I. A.
1
1990
Über Grenzwerte eines Integrals Cauchyschen Typs für Funktionen Zygmundscher Klassen. Zbl 0253.30025
Dzyadyk, V. K.; Shevchuk, I. A.
1
1972
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
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
New moduli of smoothness: weighted DT moduli revisited and applied. Zbl 1329.41020
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
9
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
Positive results and counterexamples in comonotone approximation. Zbl 1254.41006
Leviatan, D.; Radchenko, D. V.; Shevchuk, I. A.
4
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
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
Theory of uniform approximation of functions by polynomials. Transl. from the Russian by Dimitry Malyshev, Peter V. Malyshev and Vladimir V. Gorunovich. Zbl 1148.41003
Dzyadyk, Vladislav K.; Shevchuk, Igor A.
34
2008
New phenomena in coconvex approximation. Zbl 1108.41013
Dzyubenko, G. A.; Gilewicz, J.; Shevchuk, I. A.
2
2006
Coconvex approximation in the uniform norm: the final frontier. Zbl 1102.41005
Kopotun, K.; Leviatan, D.; Shevchuk, I. A.
2
2006
Convex polynomial approximation in the uniform norm: conclusion. Zbl 1102.41021
Kopotun, K. A.; Levitan, D.; Shevchuk, I. A.
7
2005
Uniform estimates for polynomial approximation in domains with corners. Zbl 1089.30033
Abdullayev, F. G.; Shevchuk, I. A.
1
2005
Linear bounded operator for extension of traces of differentiable functions on \(\mathbb R\). Zbl 1113.41004
Shevchuk, I. A.; Zhelnov, O. D.
1
2004
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
Boundedness by 3 of the Whitney interpolation constant. Zbl 1099.41500
Gilewicz, J.; Kryakin, Yu. V.; Shevchuk, I. A.
3
2002
Nearly coconvex approximation. Zbl 1044.41003
Leviatan, D.; Shevchuk, I. A.
1
2002
Coconvex pointwise approximation. Zbl 1019.41003
Dzyubenko, G. A.; Gilewicz, J.; Shevchuk, I. A.
1
2002
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. 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
Constants in comonotone polynomial approximation. – A survey. Zbl 0938.41002
Leviatan, L.; Shevchuk, I. A.
2
1999
Piecewise monotone pointwise approximation. Zbl 0912.41007
Dzyubenko, G. A.; Gilewicz, J.; Shevchuk, I. A.
14
1998
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
Approximation of monotone functions: A counter example. Zbl 0958.41012
DeVore, R. A.; Leviatan, D.; Shevchuk, I. A.
6
1997
Some positive results and counterexamples in comonotone approximation. Zbl 0870.41016
Leviatan, D.; Shevchuk, I. A.
4
1997
One construction of cubic convex spline. Zbl 0888.41013
Shevchuk, I. A.
3
1997
Comonotone approximation. Zbl 0908.41003
Gilewicz, J.; Shevchuk, I. A.
11
1996
One example in monotone approximation. Zbl 0868.41015
Shevchuk, I. A.
2
1996
Counter examples in convex and higher order constrained approximation. Zbl 0846.41006
Leviatan, D.; Shevchuk, I. A.
3
1995
Whitney’s inequality and coapproximation. Zbl 0852.41015
Shevchuk, I. A.
1
1995
Uniform estimates for monotonic polynomial approximation. Zbl 0822.41015
Dzyubenko, G. A.; Listopad, V. V.; Shevchuk, I. A.
2
1993
Approximation of monotone functions by monotone polynomials. Zbl 0782.41013
Shevchuk, I. A.
28
1992
On coapproximation of monotone functions. Zbl 0719.41011
Shevchuk, I. A.
1
1990
Properties of the Dzyadyk polynomial kernels on a closed segment. Zbl 0731.41008
Shevchuk, I. A.
2
1989
Constructive characterization of classes of continuous functions of a set \(\mathfrak M\subset\mathbb{C}\) for the \(k-th\) modulus of continuity. Zbl 0431.30025
Shevchuk, I. A.
5
1979
On limiting values of an integral of Cauchy type for functions of Zygmund classes. Zbl 0258.30034
Dzyadyk, V. K.; Shevchuk, I. A.
5
1973
On a constructive characterization of functions from the classes D\(^r H^{\omega_2(t)}\) on closed sets with a piecewise smooth boundary. Zbl 0261.30028
Shevchuk, I. A.
2
1973
Über Grenzwerte eines Integrals Cauchyschen Typs für Funktionen Zygmundscher Klassen. Zbl 0253.30025
Dzyadyk, V. K.; Shevchuk, I. A.
1
1972
all top 5

Cited by 88 Authors

24 Leviatan, Dany
20 Shevchuk, Igor A.
18 Kopotun, Kirill A.
8 Dzyubenko, German A.
6 Andrievskii, Vladimir V.
6 Prymak, Andriy V.
4 Abdullayev, Fahreddin G.
4 Draganov, Borislav R.
4 Pleshakov, M. G.
3 Imashkyzy, Meerim
2 Forster, Brigitte
2 Ghorbanalizadeh, Arash M.
2 Hu, Yingkang
2 Petrova, I. L.
2 Sawano, Yoshihiro
2 Sun, Yiguo
2 Trigub, Roal’d Mikhaĭlovich
2 Vlasiuk, Oleksandr V.
1 Abdullayev, Gülnara A.
1 Akgun, Ramazan
1 Babenko, Aleksandr Grigor’evich
1 Balcı, Şölen
1 Belyj, V. I.
1 Beregova, Galyna
1 Bezkryla, S. I.
1 Blatt, Hans-Peter
1 Bondarenko, Andriy V.
1 Boytsov, Dmitry I.
1 Brudnyi, Yuri A.
1 Chaĭchenko, Stanislav Olegovich
1 Chaĭkovs’kyĭ, Andriĭ Volodymyrovych
1 Chyzhykov, Igor Elbertovych
1 Cuyt, Annie A. M.
1 Danelia, Akaki
1 Ditzian, Zeev
1 Dzyubenko, H. A.
1 Gadjev, Ivan
1 Gavrilyuk, I. G.
1 Gilewicz, Jacek
1 Golub, Anatoly P.
1 Guliyev, Vagif Sabir
1 Huang, Yi-Qun
1 Johanis, Michal
1 Kocić, Ljubiša M.
1 Kolomoitsev, Yurii S.
1 Kozlov, Inna
1 Kryakin, Yuri V.
1 Lindström, Torsten
1 Listopad, V. V.
1 Lomako, Tetiana
1 Lubinsky, Doron S.
1 Maizlish, Oleksandr
1 Makarov, V. E.
1 Malikov, Emir
1 Medvedev, Alexey N.
1 Milovanović, Gradimir V.
1 Müller, Samuel
1 Murray, Kevin
1 Nesterenko, Oleksiĭ Nykyforovych
1 Nguyen Hoa Thang
1 Pahirya, Mykhaylo M.
1 Pereverzev, Sergei V.
1 Prestin, Jurgen
1 Pritsker, Igor E.
1 Pupashenko, N. S.
1 Radchenko, Danylo V.
1 Ramazanov, Abdul-Rashid Kekhrimanovich
1 Révész, Szilárd György
1 Salazar Celis, Oliver
1 Semenova, Evgeniya V.
1 Shatalina, A. V.
1 Shidlich, Andriy L.
1 Shvartsman, Pavel
1 Sidorov, Sergeĭ Petrovich
1 Tian, Dagang
1 Tkachenko, Pavlo
1 Turlach, Berwin A.
1 Vakarchuk, Sergei Borisovich
1 Vakarchuk, Sergey B.
1 Varga, Richard Steven
1 Verma, Sudeep
1 Viazovska, Maryna S.
1 Vinogradov, Oleg Leonidovich
1 Viswanathan, Puthan Veedu
1 Yu, Xiangming
1 Zajíček, Luděk
1 Zherebko, T. M.
1 Zhuk, Vladimir Vasil’evich

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