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Babenko, Vladyslav Fedorovych

Author ID: babenko.vladislav-f Recent zbMATH articles by "Babenko, Vladyslav Fedorovych"
Published as: Babenko, V. F.; Babenko, Vladislav; Babenko, Vladislav F.; Babenko, Vladyslav; Babenko, V.
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Publications by Year

Citations contained in zbMATH Open

132 Publications have been cited 454 times in 229 Documents Cited by Year
Extremal properties of polynomials and splines. Based on the Russian edition 1992. Zbl 0976.41008
Korneichuk, N. P.; Ligun, A. A.; Babenko, V. F.
47
1996
Comparison of rearrangement and Kolmogorov-Nagy type inequalities for periodic functions. Zbl 1034.41010
Babenko, Vladislav; Kofanov, Vladimir; Pichugov, Sergei
14
2002
Comparison of exact constants in inequalities for derivatives of functions defined on the real axis and a circle. Zbl 1103.26013
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
14
2003
Approximations, widths and optimal quadrature formulae for classes of periodic functions with rearrangements invariant sets of derivatives. Zbl 0652.41008
Babenko, V. F.
13
1987
Multivariate inequalities of Kolmogorov type and their applications. Zbl 0911.46024
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
12
1997
Inequalities of Kolmogorov type and some of their applications in approximation theory. Zbl 0909.41008
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
10
1998
Asymptotically sharp bounds for the remainder for the best quadrature formulas for several classes of functions. Zbl 0333.41024
Babenko, V. F.
10
1976
On the optimal error bound for cubature formulae on certain classes of continuous functions. Zbl 0372.41020
Babenko, V. F.
9
1977
On the Kolmogorov type inequalities for fractional derivatives. Zbl 1331.26028
Babenko, V. F.; Churilova, M. G.
8
2002
Sharp estimates of the norms of fractional derivatives of functions of several variables satisfying Hölder conditions. Zbl 1205.26008
Babenko, V. F.; Pichugov, S. A.
8
2010
Kolmogorov-type inequalities for norms of Riesz derivatives of functions of several variables with Laplacian bounded in \(L_\infty\) and related problems. Zbl 1314.41006
Babenko, V. F.; Parfinovich, N. V.; Pichugov, S. A.
8
2014
Optimal recovery of isotropic classes of twice-differentiable multivariate functions. Zbl 1215.41001
Babenko, Vladislav F.; Borodachov, Sergiy V.; Skorokhodov, Dmytro S.
8
2010
Extremal properties of polynomials and splines. (Ehkstremal’nye svojstva polinomov i splajnov.) Zbl 0853.41006
Kornejchuk, N. P.; Babenko, V. F.; Ligun, A. A.
7
1992
Calculus and nonlinear integral equations for functions with values in \(L\)-spaces. Zbl 1449.45009
Babenko, V.
7
2019
Kolmogorov type inequalities for norms of Riesz derivatives of multivariate functions and some applications. Zbl 1304.41008
Babenko, V. F.; Parfinovich, N. V.
7
2012
Kolmogorov type inequalities for hypersingular integrals with homogeneous characteristic. Zbl 1131.26010
Babenko, Vladislav F.; Churilova, Mariya S.
6
2007
The exact inequalities of the Kolmogorov type for functions of two variables. Zbl 1054.41503
Babenko, V. F.
6
2000
Investigations of Dnepropetrovsk mathematicians related to inequalities for derivatives of periodic functions and their applications. Zbl 0976.41001
Babenko, V. F.
6
2000
Nonsymmetric approximation in spaces of integrable functions. Zbl 0522.41028
Babenko, V. F.
6
1983
Inequalities for rearrangements of differentiable periodic functions, approximation problems, and approximate integration. Zbl 0547.41027
Babenko, V. F.
6
1983
Sharp Kolmogorov-type inequalities for norms of fractional derivatives of multivariate functions. Zbl 1224.41041
Babenko, V. F.; Parfinovych, N. V.; Pichugov, S. A.
6
2010
A property of compact operators in the space of integrable functions. Zbl 0492.47018
Babenko, V. F.; Pichugov, S. A.
6
1982
On the optimization of weighted quadrature formulas. Zbl 0885.41020
Babenko, V. F.
5
1995
On the relative widths of classes of functions with bounded mixed derivative. Zbl 0862.41019
Babenko, Vladislav F.
5
1996
Inequalities for the derivatives of polynomials with real zeros. Zbl 0641.42001
Babenko, V. F.; Pichugov, S. A.
5
1986
Faithful asymptotics of remainders optimal for some classes of functions with cubic weight formulas. Zbl 0359.41009
Babenko, V. F.
5
1977
Die Interpolation stetiger Abbildungen vermittels stückweise linearer. Zbl 0391.41001
Babenko, V. F.
5
1978
Über die Interpolation vermittels polyedrischer Funktionen. Zbl 0318.41024
Babenko, V. F.; Ligun, A. A.
5
1975
Bernstein-type inequalities for splines defined on the real axis. Zbl 1242.41011
Babenko, V. F.; Zontov, V. A.
5
2011
Approximation of some classes of set-valued periodic functions by generalized trigonometric polynomials. Zbl 1490.42003
Babenko, V. F.; Babenko, V. V.; Polishchuk, M. V.
4
2016
Nonsymmetric approximation in the mean of differentiable functions by algebraic polynomials. Zbl 0677.41007
Babenko, V. F.; Kofanov, V. A.
4
1988
Über die beste lineare Approximation gewisser Klassen differenzierbarer periodischer Funktionen. Zbl 0444.41010
Babenko, V. F.; Pichugov, S. A.
4
1980
On exact inequalities of Hardy-Littlewood-Pólya type. Zbl 0956.46023
Babenko, Vladislav F.; Rassias, Themistocles M.
4
2000
On optimization of approximate integration over \(d\)-dimensional ball. Zbl 1111.41021
Babenko, V. F.; Borodachov, S. V.
4
2003
Die Ordnung der besten einseitigen Approximationen vermittels Polynome und Splinefunktionen in der \(L_p\)-Metrik. Zbl 0341.41016
Babenko, V. F.; Ligun, A. A.
4
1976
Optimal recovery of operators in function \(L\)-spaces. Zbl 1488.46070
Babenko, V.; Babenko, V.; Kovalenko, O.; Polishchuk, M.
4
2021
An exact inequality for the derivative of a trigonometric polynomial having only real zeros. Zbl 0616.42001
Babenko, V. F.; Pichugov, S. A.
4
1986
On asymptotical behavior of the optimal linear spline interpolation error of \(C^2\) functions. Zbl 1487.41008
Babenko, Vladislav; Babenko, Yuliya; Ligun, Anatoliy; Shumeiko, Alexander
4
2006
Kolmogorov type inequalities for fractional derivatives of Hölder functions of two variables. Zbl 1487.41012
Babenko, V.; Pichugov, S.
4
2007
Nonsymmetric extremal problems in approximation theory. Zbl 0568.41032
Babenko, V. F.
4
1983
Approximation of convolution classes. Zbl 0693.42001
Babenko, V. F.
4
1987
On best uniform approximation by splines in the presence of restrictions on their derivatives. Zbl 0798.41002
Babenko, V. F.
4
1991
Optimal recovery of convolutions and scalar products of functions from various classes. Zbl 0782.42010
Babenko, V. F.; Rudenko, A. A.
4
1991
On Jackson-type inequalities for functions defined on a sphere. Zbl 1103.41011
Babenko, V. F.; Doronin, V. G.; Ligun, A. A.; Shumeiko, A. A.
3
2005
On inequalities for norms of intermediate derivatives on a finite interval. Zbl 0887.26009
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
3
1995
On the optimal renewal of bilinear functionals in linear normed spaces. Zbl 0939.46016
Babenko, V. F.; Rudenko, A. A.
3
1997
Inequalities for norms of intermediate derivatives of periodic functions and their applications. Zbl 0920.26013
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
3
1997
Extremal problems in approximation theory, and inequalities for rearrangements. Zbl 0642.41019
Babenko, V. F.
3
1987
On the construction of optimal cubature formulae which use integrals over hyperspheres. Zbl 1114.41019
Babenko, V. F.; Borodachov, S. V.
3
2007
Kolmogorov inequalities for multiply monotone functions defined on a half-line. Zbl 1148.41011
Babenko, Vladislav; Babenko, Yuliya
3
2005
Optimal recovery of monotone operators in partially ordered \(L\)-spaces. Zbl 1448.41030
Babenko, Vladyslav; Babenko, Vira; Kovalenko, Oleg
3
2020
Optimization of approximate integration of set-valued functions monotone with respect to inclusion. Zbl 1245.49029
Babenko, V. F.; Babenko, V. V.
3
2011
Kolmogorov type inequalities for the Marchaud fractional derivatives on the real line and the half-line. Zbl 1336.26021
Babenko, Vladislav F.; Churilova, Mariya S.; Parfinovych, Nataliia V.; Skorokhodov, Dmytro S.
3
2014
Optimal recovery of integral operators and its applications. Zbl 1416.65563
Babenko, Vladyslav; Babenko, Yuliya; Parfinovych, Nataliia; Skorokhodov, Dmytro
3
2016
Approximation theory and harmonic analysis. (Теория аппроксимации и гармонический анализ.) Zbl 1349.42001
Motornyĭ, V. P.; Babenko, V. F.; Dovgosheĭ, A. A.; Kuznetsova, O. I.
3
2011
On the optimal recovery of integrals of set-valued functions. Zbl 1313.49022
Babenko, V. F.; Babenko, V. V.; Polishchuk, M. V.
3
2014
On the optimal recovery of integrals of set-valued functions. Zbl 1386.41010
Babenko, V. F.; Babenko, V. V.; Polishchuk, M. V.
3
2016
On the best use of linear functionals for the approximation of bilinear ones. Zbl 0511.41035
Babenko, V. F.
3
1979
Approximation of unbounded operators by bounded operators in a Hilbert space. Zbl 1221.47025
Babenko, V. F.; Bilichenko, R. O.
3
2009
Approximate computation of scalar products. Zbl 0712.42003
Babenko, V. F.
3
1988
Inequalities of Bernstein type for polynomial splines in \(L_ 2\). Zbl 0739.42002
Babenko, V. F.; Pichugov, S. A.
3
1991
On inequality of the type of Jackson’s inequalities for linear methods of function approximation. Zbl 0472.41011
Babenko, V. F.; Shalaev, V. V.
3
1980
Approximation in the mean of linear combinations of shifts of certain functions. Zbl 0499.41017
Babenko, V. F.; Pichugov, S. A.
3
1981
Exact values of best approximations for classes of periodic functions by splines of deficiency 2. Zbl 1204.41018
Babenko, V. F.; Parfinovich, N. V.
3
2009
The best \(L_ 1\)-approximations by splines in the presence of restrictions on their derivatives. Zbl 0848.42004
Babenko, V. F.
2
1992
On additive inequalities for intermediate derivatives of functions given on a finite interval. Zbl 0935.26004
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
2
1997
On Chebyshev rank in \(L_1\)-approximation. Zbl 0893.41017
Babenko, V. F.; Polyakov, O. V.; Tractinskaya, V. N.
2
1997
On Kolmogorov-type inequalities for functions defined on a semiaxis. Zbl 1164.41319
Babenko, V. F.; Skorokhodov, D. S.
2
2007
Exact Kolmogorov-type inequalities with bounded leading derivative in the case of low smoothness. Zbl 1008.41011
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
2
2001
Exact inequalities for norms of intermediate derivatives of half-integer order and their applications. Zbl 0929.41013
Babenko, V. F.
2
1997
On the Kolmogorov problem for the upper bounds of four consecutive derivatives of a multiply monotone function. Zbl 1125.26023
Babenko, Vladislav; Babenko, Yuliya
2
2007
On the best interval quadrature formulae for classes of differentiable periodic functions. Zbl 1147.41008
Babenko, V. F.; Skorokhodov, D. S.
2
2007
Sharp inequalities for the norms of conjugate functions and their applications. Zbl 0638.42012
Babenko, V. F.
2
1987
The best approximation of closed operators by bounded operators in Hilbert spaces. Zbl 1511.47015
Babenko, V. F.; Parfinovych, N. V.; Skorokhodov, D. S.
2
2022
On multivariate Ostrowski type inequalities and their applications. Zbl 1445.26017
Babenko, Vladyslav; Babenko, Yuliya; Kovalenko, Oleg
2
2020
Widths and best quadrature formulae for classes of convolutions. Zbl 0743.42001
Babenko, V. F.
2
1991
On Hardy-Littlewood-Pólya and Taikov type inequalities for multiple operators in Hilbert spaces. Zbl 1495.47035
Babenko, V.; Babenko, Yu.; Kriachko, N.; Skorokhodov, D.
2
2021
Optimal cubature formulas related to tomography for certain classes of functions defined on a cube. Zbl 1262.41018
Babenko, Vladyslav; Borodachov, Sergiy; Skorokhodov, Dmytro
2
2011
Construction of optimal cubature formulas related to computer tomography. Zbl 1231.65054
Babenko, V. F.; Borodachov, S. V.; Skorokhodov, D. S.
2
2011
Inequalities of Taikov type for selfadjoint operators in Hilbert space. Zbl 1243.47042
Babenko, V. F.; Bilichenko, R. O.
2
2010
Exact asymptotics of the optimal \(L_p\)-error of asymmetric linear spline approximation. Zbl 1379.41006
Babenko, Vladislav; Babenko, Yuliya; Parfinovych, Nataliya; Skorokhodov, Dmytro
2
2014
On the exact values of the best approximations of classes of differentiable periodic functions by splines. Zbl 1290.41022
Babenko, V. F.; Parfinovich, N. V.
2
2010
Development of studies on the exact solution of extremal problems of the theory of best approximation. Zbl 0715.41038
Babenko, V. F.; Ligun, A. A.
2
1990
On the optimal piecewise linear interpolation of continuous mappings. Zbl 0473.41006
Babenko, V. F.
2
1980
Inequalities of the Kolmogorov type for norms of Riesz derivatives of multivariate functions and some of their applications. Zbl 1271.41004
Babenko, Vladislav F.; Parfinovich, Natal’ya V.
2
2012
Approximation of some classes of functions of many variables by harmonic splines. Zbl 1272.41006
Babenko, V. F.; Leskevich, T. Yu.
2
2013
Jackson-Stechkin-type inequalities for the approximation of elements of Hilbert spaces. Zbl 1428.41012
Babenko, V. F.; Konareva, S. V.
2
2019
Optimization of approximate integration of monotone functions of two variables. Zbl 0953.41020
Babenko, V. F.; Borodachev, S. V.
1
1999
On the optimal reconstruction of the convolution of \(n\) functions according to the linear information. Zbl 1498.42005
Babenko, V. F.; Gun’ko, M. S.
1
2016
Estimation of the uniform norm of one-dimensional Riesz potential of the partial derivative of a function with bounded Laplacian. Zbl 1499.42045
Babenko, V. F.; Parfinovich, N. V.
1
2016
Some extremal properties of polynomials and splines. Zbl 0813.41011
Babenko, V. F.; Ligun, A. A.
1
1991
On inequalities of Kolmogorov-Hörmander type for functions bounded on a discrete net. Zbl 0941.46014
Babenko, V. F.; Vakarchuk, M. B.
1
1997
Inequalities for norms of intermediate derivatives and some of their applications. Zbl 0947.26015
Babenko, Vladislav F.
1
1998
Exact inequalities of Kolmogorov type for multivariate functions and their applications. Zbl 1054.41510
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
1
1997
Additive inequalities for intermediate derivatives of differentiable mappings of Banach spaces. Zbl 0927.46025
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
1
1998
On inequalities of Landau-Hadamard-Kolmogorov type for the \(L_ 2\)-norm of intermediate derivatives. Zbl 0868.46023
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
1
1996
On approximate computation of scalar products. Zbl 0656.42003
Babenko, V. F.
1
1988
The order of the best one-sided approximation by polynomials and splines in the \(L_p\)-metric. Zbl 0348.41019
Babenko, V. F.; Ligun, A. A.
1
1976
Interpolation of continuous maps by piecewise-linear maps. Zbl 0408.41002
Babenko, V. F.
1
1979
Estimates for wavelet coefficients on some classes of functions. Zbl 1164.42328
Babenko, V. F.; Spector, S. A.
1
2007
Fixed sets and fixed points for mappings in generalized \(\mathrm{Lim}\)-spaces of Fréchet. Zbl 1517.54013
Babenko, V. F.; Babenko, V. V.; Kovalenko, O. V.
1
2023
The best approximation of closed operators by bounded operators in Hilbert spaces. Zbl 1511.47015
Babenko, V. F.; Parfinovych, N. V.; Skorokhodov, D. S.
2
2022
On approximation of hypersingular integral operators by bounded ones. Zbl 1505.41002
Babenko, Vladyslav; Kovalenko, Oleg; Parfinovych, Nataliia
1
2022
Optimal recovery of operators in function \(L\)-spaces. Zbl 1488.46070
Babenko, V.; Babenko, V.; Kovalenko, O.; Polishchuk, M.
4
2021
On Hardy-Littlewood-Pólya and Taikov type inequalities for multiple operators in Hilbert spaces. Zbl 1495.47035
Babenko, V.; Babenko, Yu.; Kriachko, N.; Skorokhodov, D.
2
2021
On asymptotically optimal cubatures for multidimensional Sobolev spaces. Zbl 1502.41011
Babenko, V. F.; Babenko, Yu. V.; Kovalenko, O. V.
1
2021
Optimal recovery of monotone operators in partially ordered \(L\)-spaces. Zbl 1448.41030
Babenko, Vladyslav; Babenko, Vira; Kovalenko, Oleg
3
2020
On multivariate Ostrowski type inequalities and their applications. Zbl 1445.26017
Babenko, Vladyslav; Babenko, Yuliya; Kovalenko, Oleg
2
2020
Optimal recovery of elements of a Hilbert space and their scalar products according to the Fourier coefficients known with errors. Zbl 1455.65087
Babenko, V. F.; Gunko, M. S.; Parfinovych, N. V.
1
2020
Calculus and nonlinear integral equations for functions with values in \(L\)-spaces. Zbl 1449.45009
Babenko, V.
7
2019
Jackson-Stechkin-type inequalities for the approximation of elements of Hilbert spaces. Zbl 1428.41012
Babenko, V. F.; Konareva, S. V.
2
2019
Inequalities of Carlson-Taikov-Shadrin type in \(L_{2,r;\alpha,\beta}((-1,1))\) and \(L_{2,e^{-t^2}}(\mathbb{R})\) spaces. Zbl 1490.41006
Babenko, V. F.; Kozynenko, O. V.; Skorokhodov, D. S.
1
2019
Approximation of some classes of set-valued periodic functions by generalized trigonometric polynomials. Zbl 1490.42003
Babenko, V. F.; Babenko, V. V.; Polishchuk, M. V.
4
2016
Optimal recovery of integral operators and its applications. Zbl 1416.65563
Babenko, Vladyslav; Babenko, Yuliya; Parfinovych, Nataliia; Skorokhodov, Dmytro
3
2016
On the optimal recovery of integrals of set-valued functions. Zbl 1386.41010
Babenko, V. F.; Babenko, V. V.; Polishchuk, M. V.
3
2016
On the optimal reconstruction of the convolution of \(n\) functions according to the linear information. Zbl 1498.42005
Babenko, V. F.; Gun’ko, M. S.
1
2016
Estimation of the uniform norm of one-dimensional Riesz potential of the partial derivative of a function with bounded Laplacian. Zbl 1499.42045
Babenko, V. F.; Parfinovich, N. V.
1
2016
Inequalities of Hardy-Littlewood-Pólya type for functions of operators and their applications. Zbl 1350.26002
Babenko, Vladyslav; Babenko, Yuliya; Kriachko, Nadiia
1
2016
On modulus of continuity of differentiation operator on weighted Sobolev classes. Zbl 1391.26040
Babenko, Vladislav F.; Kovalenko, Oleg V.
1
2015
Kolmogorov’s problem on the class of multiply monotone functions. Zbl 1325.41007
Babenko, Vladyslav; Babenko, Yuliya; Kovalenko, Oleg
1
2015
Kolmogorov-type inequalities for norms of Riesz derivatives of functions of several variables with Laplacian bounded in \(L_\infty\) and related problems. Zbl 1314.41006
Babenko, V. F.; Parfinovich, N. V.; Pichugov, S. A.
8
2014
Kolmogorov type inequalities for the Marchaud fractional derivatives on the real line and the half-line. Zbl 1336.26021
Babenko, Vladislav F.; Churilova, Mariya S.; Parfinovych, Nataliia V.; Skorokhodov, Dmytro S.
3
2014
On the optimal recovery of integrals of set-valued functions. Zbl 1313.49022
Babenko, V. F.; Babenko, V. V.; Polishchuk, M. V.
3
2014
Exact asymptotics of the optimal \(L_p\)-error of asymmetric linear spline approximation. Zbl 1379.41006
Babenko, Vladislav; Babenko, Yuliya; Parfinovych, Nataliya; Skorokhodov, Dmytro
2
2014
On interpolation and extremal properties of periodic perfect splines. Zbl 1324.41002
Babenko, V. F.; Kovalenko, O. V.
1
2014
Approximation of some classes of functions of many variables by harmonic splines. Zbl 1272.41006
Babenko, V. F.; Leskevich, T. Yu.
2
2013
Estimates of approximation of elements of Hilbert space. Zbl 1313.41019
Babenko, V. F.; Savela, S. V.
1
2013
Uniformly distributed ridge approximation of some classes of harmonic functions. Zbl 1276.42002
Babenko, V. F.; Levchenko, D. A.
1
2013
Kolmogorov type inequalities for norms of Riesz derivatives of multivariate functions and some applications. Zbl 1304.41008
Babenko, V. F.; Parfinovich, N. V.
7
2012
Inequalities of the Kolmogorov type for norms of Riesz derivatives of multivariate functions and some of their applications. Zbl 1271.41004
Babenko, Vladislav F.; Parfinovich, Natal’ya V.
2
2012
On the dependence of the norm of a function on the norms of its derivatives of orders \(k\), \(r-2\), and \(r\), \(0< k< r-2\). Zbl 1267.46043
Babenko, V. F.; Kovalenko, O. V.
1
2012
Bernstein-type inequalities for splines defined on the real axis. Zbl 1242.41011
Babenko, V. F.; Zontov, V. A.
5
2011
Optimization of approximate integration of set-valued functions monotone with respect to inclusion. Zbl 1245.49029
Babenko, V. F.; Babenko, V. V.
3
2011
Approximation theory and harmonic analysis. (Теория аппроксимации и гармонический анализ.) Zbl 1349.42001
Motornyĭ, V. P.; Babenko, V. F.; Dovgosheĭ, A. A.; Kuznetsova, O. I.
3
2011
Optimal cubature formulas related to tomography for certain classes of functions defined on a cube. Zbl 1262.41018
Babenko, Vladyslav; Borodachov, Sergiy; Skorokhodov, Dmytro
2
2011
Construction of optimal cubature formulas related to computer tomography. Zbl 1231.65054
Babenko, V. F.; Borodachov, S. V.; Skorokhodov, D. S.
2
2011
Sharp estimates of the norms of fractional derivatives of functions of several variables satisfying Hölder conditions. Zbl 1205.26008
Babenko, V. F.; Pichugov, S. A.
8
2010
Optimal recovery of isotropic classes of twice-differentiable multivariate functions. Zbl 1215.41001
Babenko, Vladislav F.; Borodachov, Sergiy V.; Skorokhodov, Dmytro S.
8
2010
Sharp Kolmogorov-type inequalities for norms of fractional derivatives of multivariate functions. Zbl 1224.41041
Babenko, V. F.; Parfinovych, N. V.; Pichugov, S. A.
6
2010
Inequalities of Taikov type for selfadjoint operators in Hilbert space. Zbl 1243.47042
Babenko, V. F.; Bilichenko, R. O.
2
2010
On the exact values of the best approximations of classes of differentiable periodic functions by splines. Zbl 1290.41022
Babenko, V. F.; Parfinovich, N. V.
2
2010
Approximation of unbounded operators by bounded operators in a Hilbert space. Zbl 1221.47025
Babenko, V. F.; Bilichenko, R. O.
3
2009
Exact values of best approximations for classes of periodic functions by splines of deficiency 2. Zbl 1204.41018
Babenko, V. F.; Parfinovich, N. V.
3
2009
Refinement of a Hardy-Littlewood-Pólya-type inequality for powers of self-adjoint operators in a Hilbert space. Zbl 1224.26068
Babenko, V. F.; Bilichenko, R. O.
1
2009
Exact asymptotics of the optimal \(L_{p,\Omega}\)-error of linear spline interpolation. Zbl 1217.41008
Babenko, Vladislav; Babenko, Yuliya; Skorokhodov, Dmytro
1
2008
On the best interval quadrature formulae for convolution classes. Zbl 1217.65055
Babenko, Vladislav; Skorokhodov, Dmytro
1
2008
Kolmogorov type inequalities for hypersingular integrals with homogeneous characteristic. Zbl 1131.26010
Babenko, Vladislav F.; Churilova, Mariya S.
6
2007
Kolmogorov type inequalities for fractional derivatives of Hölder functions of two variables. Zbl 1487.41012
Babenko, V.; Pichugov, S.
4
2007
On the construction of optimal cubature formulae which use integrals over hyperspheres. Zbl 1114.41019
Babenko, V. F.; Borodachov, S. V.
3
2007
On Kolmogorov-type inequalities for functions defined on a semiaxis. Zbl 1164.41319
Babenko, V. F.; Skorokhodov, D. S.
2
2007
On the Kolmogorov problem for the upper bounds of four consecutive derivatives of a multiply monotone function. Zbl 1125.26023
Babenko, Vladislav; Babenko, Yuliya
2
2007
On the best interval quadrature formulae for classes of differentiable periodic functions. Zbl 1147.41008
Babenko, V. F.; Skorokhodov, D. S.
2
2007
Estimates for wavelet coefficients on some classes of functions. Zbl 1164.42328
Babenko, V. F.; Spector, S. A.
1
2007
On asymptotical behavior of the optimal linear spline interpolation error of \(C^2\) functions. Zbl 1487.41008
Babenko, Vladislav; Babenko, Yuliya; Ligun, Anatoliy; Shumeiko, Alexander
4
2006
On Jackson-type inequalities for functions defined on a sphere. Zbl 1103.41011
Babenko, V. F.; Doronin, V. G.; Ligun, A. A.; Shumeiko, A. A.
3
2005
Kolmogorov inequalities for multiply monotone functions defined on a half-line. Zbl 1148.41011
Babenko, Vladislav; Babenko, Yuliya
3
2005
Kolmogorov-type inequalities and their applications. Zbl 1057.41006
Babenko, Vladislav
1
2004
The Kolmogorov inequality for absolutely monotone functions on a half-line. Zbl 1068.41021
Babenko, Vladislav; Babenko, Yuliya
1
2004
Approximation of sine-shaped functions by constants in spaces \(L_p,p<1\). Zbl 1089.41010
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
1
2004
On optimization of approximate integration of multivariate periodic functions. Zbl 1087.65531
Babenko, Vladislav F.; Borodachov, Sergiy V.
1
2004
Comparison of exact constants in inequalities for derivatives of functions defined on the real axis and a circle. Zbl 1103.26013
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
14
2003
On optimization of approximate integration over \(d\)-dimensional ball. Zbl 1111.41021
Babenko, V. F.; Borodachov, S. V.
4
2003
Comparison of rearrangement and Kolmogorov-Nagy type inequalities for periodic functions. Zbl 1034.41010
Babenko, Vladislav; Kofanov, Vladimir; Pichugov, Sergei
14
2002
On the Kolmogorov type inequalities for fractional derivatives. Zbl 1331.26028
Babenko, V. F.; Churilova, M. G.
8
2002
On Kolmogorov’s problem about existence of a function with given norms of its derivatives. Zbl 1145.41309
Babenko, V. F.; Britvin, Y. E.
1
2002
Exact Kolmogorov-type inequalities with bounded leading derivative in the case of low smoothness. Zbl 1008.41011
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
2
2001
The exact inequalities of the Kolmogorov type for functions of two variables. Zbl 1054.41503
Babenko, V. F.
6
2000
Investigations of Dnepropetrovsk mathematicians related to inequalities for derivatives of periodic functions and their applications. Zbl 0976.41001
Babenko, V. F.
6
2000
On exact inequalities of Hardy-Littlewood-Pólya type. Zbl 0956.46023
Babenko, Vladislav F.; Rassias, Themistocles M.
4
2000
On the uniqueness of an element of the best \(L_1\)-approximation for functions with values in a Banach space. Zbl 0978.41018
Babenko, V. F.; Gorbenko, M. E.
1
2000
Optimization of approximate integration of monotone functions of two variables. Zbl 0953.41020
Babenko, V. F.; Borodachev, S. V.
1
1999
Inequalities of Kolmogorov type and some of their applications in approximation theory. Zbl 0909.41008
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
10
1998
Inequalities for norms of intermediate derivatives and some of their applications. Zbl 0947.26015
Babenko, Vladislav F.
1
1998
Additive inequalities for intermediate derivatives of differentiable mappings of Banach spaces. Zbl 0927.46025
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
1
1998
On exact inequalities of the Kolmogorov type which take into account the number of changes of signs of derivatives. Zbl 0930.41013
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
1
1998
The best \(L_1\)-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes. Zbl 0942.41004
Babenko, V. F.; Leis, Azar
1
1998
Multivariate inequalities of Kolmogorov type and their applications. Zbl 0911.46024
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
12
1997
On the optimal renewal of bilinear functionals in linear normed spaces. Zbl 0939.46016
Babenko, V. F.; Rudenko, A. A.
3
1997
Inequalities for norms of intermediate derivatives of periodic functions and their applications. Zbl 0920.26013
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
3
1997
On additive inequalities for intermediate derivatives of functions given on a finite interval. Zbl 0935.26004
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
2
1997
On Chebyshev rank in \(L_1\)-approximation. Zbl 0893.41017
Babenko, V. F.; Polyakov, O. V.; Tractinskaya, V. N.
2
1997
Exact inequalities for norms of intermediate derivatives of half-integer order and their applications. Zbl 0929.41013
Babenko, V. F.
2
1997
On inequalities of Kolmogorov-Hörmander type for functions bounded on a discrete net. Zbl 0941.46014
Babenko, V. F.; Vakarchuk, M. B.
1
1997
Exact inequalities of Kolmogorov type for multivariate functions and their applications. Zbl 1054.41510
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
1
1997
Additive inequalities for the norms of intermediate derivatives. Zbl 0984.41008
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
1
1997
Extremal properties of polynomials and splines. Based on the Russian edition 1992. Zbl 0976.41008
Korneichuk, N. P.; Ligun, A. A.; Babenko, V. F.
47
1996
On the relative widths of classes of functions with bounded mixed derivative. Zbl 0862.41019
Babenko, Vladislav F.
5
1996
On inequalities of Landau-Hadamard-Kolmogorov type for the \(L_ 2\)-norm of intermediate derivatives. Zbl 0868.46023
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
1
1996
On the optimization of weighted quadrature formulas. Zbl 0885.41020
Babenko, V. F.
5
1995
On inequalities for norms of intermediate derivatives on a finite interval. Zbl 0887.26009
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
3
1995
Approximation of continuous vector functions. Zbl 0943.41502
Babenko, V. F.; Pichugov, S. A.
1
1994
Extremal properties of polynomials and splines. (Ehkstremal’nye svojstva polinomov i splajnov.) Zbl 0853.41006
Kornejchuk, N. P.; Babenko, V. F.; Ligun, A. A.
7
1992
The best \(L_ 1\)-approximations by splines in the presence of restrictions on their derivatives. Zbl 0848.42004
Babenko, V. F.
2
1992
Best approximations of classes of functions defined by means of the modulus of continuity. Zbl 0782.42002
Babenko, V. F.
1
1992
On best uniform approximation by splines in the presence of restrictions on their derivatives. Zbl 0798.41002
Babenko, V. F.
4
1991
Optimal recovery of convolutions and scalar products of functions from various classes. Zbl 0782.42010
Babenko, V. F.; Rudenko, A. A.
4
1991
Inequalities of Bernstein type for polynomial splines in \(L_ 2\). Zbl 0739.42002
Babenko, V. F.; Pichugov, S. A.
3
1991
Widths and best quadrature formulae for classes of convolutions. Zbl 0743.42001
Babenko, V. F.
2
1991
Some extremal properties of polynomials and splines. Zbl 0813.41011
Babenko, V. F.; Ligun, A. A.
1
1991
Widths and best quadrature formulas for convolution classes. Zbl 0786.42002
Babenko, V. F.
1
1991
...and 32 more Documents
all top 5

Cited by 173 Authors

49 Babenko, Vladyslav Fedorovych
17 Parfinovych, Nataliia Viktorivna
15 Kofanov, V. A.
15 Skorokhodov, Dmytro S.
14 Kovalenko, Oleg V.
9 Arestov, Vitaliĭ Vladimirovich
9 Liu, Yongping
7 Babenko, Viktor V.
7 Borodachov, Sergiy V.
7 Deikalova, Marina Valer’evna
7 Pichugov, S. A.
6 Babenko, Yuliya
6 Vinogradov, Oleg Leonidovich
4 Ganzburg, Michael Iosifovich
4 Glazyrina, Polina Yu.
4 Lasuriya, Robert Andreevich
4 Selvan, A. Antony
3 Akopyan, Roman Razmikovich
3 Babenko, Vira
3 Davydov, Oleg V.
3 Dyn, Nira
3 Fang, Gensun
3 Farkhi, Elza M.
3 Gun’ko, M. S.
3 Li, Xuehua
3 Ligun, A. A.
3 Ling, Bo
3 Mokhov, Alona
3 Motornyĭ, Vitaliĭ Pavlovych
3 Révész, Szilárd György
3 Rudenko, A. A.
3 Serdyuk, Anatoly S.
3 Sommer, Manfred
3 Xiao, Weiwei
2 Berdysheva, Elena E.
2 Boyanov, Borislav Dechev
2 Chu, Yuming
2 Churilova, Mariya S.
2 Feki, Imed
2 Hayotov, Abdullo Rakhmonovich
2 Kriachko, Nadiia
2 Malykhin, Yuriĭ Vyacheslavovich
2 Naidenov, Nikola
2 Nfata, Houda
2 Novak, Erich
2 Novikov, Sergey I.
2 Polishchuk, M. V.
2 Polyakov, O. V.
2 Popovich, I. V.
2 Shadimetov, Kholmat Mahkambaevich
2 Sorokina, Tatyana
2 Tikhonov, Sergey Yur’evich
2 Yang, Lianhong
2 Zhao, Tiehong
2 Zhou, Songping
1 Abdullayev, Fahreddin G.
1 Abramovich, Yuriĭ Aleksandrovich
1 Ahmad, Bashir
1 Ainsworth, Mark
1 Akgun, Ramazan
1 Akopyan, O. V.
1 Alexandrova, T. V.
1 Aliprantis, Charalambos Dionisios
1 Al-saedi, Ahmed Eid Salem
1 Andreev, Andreĭ Stefanov
1 Babenko, Yu. V.
1 Boĭkov, Il’ya Vladimirovich
1 Bondarenko, A. R.
1 Burkinshaw, Owen
1 Bustamante González, Jorge
1 Cabada, Alberto
1 Chaĭchenko, Stanislav Olegovich
1 Cheney, Elliott Ward jun.
1 Evstigneev, Nikolai M.
1 Feschiev, Ivan Hristov
1 Flores-de-Jesús, Lázaro
1 Franchetti, Carlo
1 Gaidabura, A. E.
1 Gesztesy, Fritz
1 Ghosh, Riya
1 Gocheva-Ilieva, Snezhana Georgieva
1 Gruber, Peter Manfred
1 Gu, Yi
1 Horváth, Ágota P.
1 Hrabova, Ulyana Z.
1 Huang, Rong
1 Jørgensen, Palle E. T.
1 Kadets’, Volodymyr Mykhaĭlovych
1 Kholshevnikov, Konstantin Vladislavovich
1 Kirane, Mokhtar
1 Koç, Hüseyin
1 Kofanov, Volodymyr
1 Konareva, S. V.
1 Kovacs, Denis
1 Kozko, Artem Ivanovich
1 Kozynenko, O. V.
1 Kozynenko, Oleksandr
1 Kriachko, N. O.
1 Kumar, Anuj
1 Kuzmenko, Dmytro
...and 73 more Authors
all top 5

Cited in 58 Serials

54 Ukrainian Mathematical Journal
22 Journal of Approximation Theory
20 Mathematical Notes
10 Analysis Mathematica
10 Proceedings of the Steklov Institute of Mathematics
9 Journal of Complexity
8 Journal of Mathematical Analysis and Applications
8 Researches in Mathematics
7 Journal of Mathematical Sciences (New York)
4 Numerical Functional Analysis and Optimization
4 Constructive Approximation
3 Journal of Computational and Applied Mathematics
3 Vestnik St. Petersburg University. Mathematics
3 Journal of Inequalities and Applications
3 Mathematical Inequalities & Applications
2 Advances in Mathematics
2 The Annals of Statistics
2 Applied Mathematics and Computation
2 BIT
2 Functional Analysis and its Applications
2 Journal of Functional Analysis
2 Mathematische Nachrichten
2 Numerische Mathematik
2 Siberian Mathematical Journal
2 Acta Applicandae Mathematicae
2 Russian Mathematics
2 St. Petersburg Mathematical Journal
2 The Journal of Fourier Analysis and Applications
2 Abstract and Applied Analysis
2 Carpathian Mathematical Publications
2 Ural Mathematical Journal
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Computer Methods in Applied Mechanics and Engineering
1 Journal d’Analyse Mathématique
1 Czechoslovak Mathematical Journal
1 Cybernetics
1 Computer Aided Geometric Design
1 Aequationes Mathematicae
1 Cybernetics and Systems Analysis
1 Russian Journal of Mathematical Physics
1 Sbornik: Mathematics
1 Nonlinear Dynamics
1 Matematychni Studiï
1 Fractional Calculus & Applied Analysis
1 Revista Matemática Complutense
1 Acta Mathematica Sinica. English Series
1 Differential Equations
1 Computational Methods and Function Theory
1 Journal of Applied Mathematics and Computing
1 Hacettepe Journal of Mathematics and Statistics
1 Analysis and Applications (Singapore)
1 International Journal of Wavelets, Multiresolution and Information Processing
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Complex Analysis and Operator Theory
1 Science China. Mathematics
1 Journal of Siberian Federal University. Mathematics & Physics
1 Constructive Mathematical Analysis

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