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## Kofanov, V. A.

Compute Distance To:
 Author ID: kofanov.v-a Published as: Kofanov, V. A.
 Documents Indexed: 67 Publications since 1980
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#### Co-Authors

 30 single-authored 33 Babenko, Vladyslav Fedorovych 31 Pichugov, S. A. 2 Korneĭchuk, Nikolaĭ Pavlovich 1 Babenko, V. E. 1 Gaidabura, A. E. 1 Miropol’skij, V. E. 1 Popovich, I. V.
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#### Serials

 19 Ukraïns’kyĭ Matematychnyĭ Zhurnal 12 Ukrainian Mathematical Journal 8 East Journal on Approximations 5 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 4 Mathematical Notes 3 Dopovidi Akademiï Nauk Ukraïni 3 Doklady Mathematics 2 Analysis Mathematica 1 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 1 Matematicheskie Zametki 1 Mathematics of the USSR. Izvestiya 1 Soviet Mathematics. Doklady 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Matematicheskaya Fizika, Analiz, Geometriya
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#### Fields

 59 Approximations and expansions (41-XX) 27 Real functions (26-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 10 Functional analysis (46-XX) 3 Operator theory (47-XX) 1 Functions of a complex variable (30-XX)

#### Citations contained in zbMATH

30 Publications have been cited 87 times in 46 Documents Cited by Year
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.
2003
Multivariate inequalities of Kolmogorov type and their applications. Zbl 0911.46024
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
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.
1998
Sharp upper bounds of norms of functions and their derivatives on classes of functions with given comparison function. Zbl 1231.41025
Kofanov, V. A.
2011
On some extremal problems of different metrics for differentiable functions on the axis. Zbl 1224.41043
Kofanov, V. A.
2009
Sharp inequalities of Bernstein and Kolmogorov type. Zbl 1141.41307
Kofanov, V. A.
2005
Nonsymmetric approximation in the mean of differentiable functions by algebraic polynomials. Zbl 0677.41007
Babenko, V. F.; Kofanov, V. A.
1988
Inequalities for norms of intermediate derivatives of periodic functions and their applications. Zbl 0920.26013
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
1997
Approximation in the mean of classes of differentiable functions by algebraic polynomials. Zbl 0551.41013
Kofanov, V. A.
1983
Sharp Remez-type inequalities of various metrics in the classes of functions with given comparison function. Zbl 1414.41007
Gaidabura, A. E.; Kofanov, V. A.
2018
Sharp Remez-type inequalities of different metrics for differentiable periodic functions, polynomials, and splines. Zbl 07030443
Kofanov, V. A.
2017
Sharp Remez-type inequalities for differentiable periodic functions, polynomials, and splines. Zbl 07030343
Kofanov, V. A.
2016
Inequalities of different metrics for differentiable periodic functions. Zbl 1350.26028
Kofanov, V. A.
2015
Inequalities for derivatives of functions on an axis with nonsymmetrically bounded higher derivatives. Zbl 1258.41005
Kofanov, V. A.
2012
Some extremal problems of various metrics and sharp inequalities of Nagy-Kolmogorov type. Zbl 1235.41006
Kofanov, V. A.
2010
On sharp Kolmogorov-type inequalities taking into account the number of sign changes of derivatives. Zbl 1199.41064
Kofanov, V. A.; Miropol’skij, V. E.
2008
Comparison of rearrangements and inequalities of various metrics. Zbl 1331.41014
Kofanov, V. A.
2002
On exact inequalities of Kolmogorov type. Zbl 1060.41008
Kofanov, V. A.
2002
On inequalities for norms of intermediate derivatives on a finite interval. Zbl 0887.26009
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
1995
Approximation in the mean of classes of differentiable functions by algebraic polynomials. Zbl 0564.41003
Kofanov, V. A.
1984
Inequalities for nonperiodic splines on the real axis and their derivatives. Zbl 1309.41004
Kofanov, V. A.
2014
On exact Bernstein-type inequalities for splines. Zbl 1112.41010
Kofanov, V. A.
2006
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.
2004
On Kolmogorov-type inequalities taking into account the number of changes in the sign of derivatives. Zbl 1103.26015
Kofanov, V. A.
2003
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.
2001
On inequalities of the Landau-Kolmogorov-Hörmander type on a segment and the real line. Zbl 0971.26009
Kofanov, V. A.
2000
Additive inequalities for intermediate derivatives of differentiable mappings of Banach spaces. Zbl 0927.46025
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
1998
Additive inequalities for the norms of intermediate derivatives. Zbl 0984.41008
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
1997
Exact inequalities of Kolmogorov type for multivariate functions and their applications. Zbl 1054.41510
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
1997
Polynomials of fixed sign that deviate least from zero in the spaces $$L_ p$$. Zbl 0581.41009
Babenko, V. F.; Kofanov, V. A.
1985
Sharp Remez-type inequalities of various metrics in the classes of functions with given comparison function. Zbl 1414.41007
Gaidabura, A. E.; Kofanov, V. A.
2018
Sharp Remez-type inequalities of different metrics for differentiable periodic functions, polynomials, and splines. Zbl 07030443
Kofanov, V. A.
2017
Sharp Remez-type inequalities for differentiable periodic functions, polynomials, and splines. Zbl 07030343
Kofanov, V. A.
2016
Inequalities of different metrics for differentiable periodic functions. Zbl 1350.26028
Kofanov, V. A.
2015
Inequalities for nonperiodic splines on the real axis and their derivatives. Zbl 1309.41004
Kofanov, V. A.
2014
Inequalities for derivatives of functions on an axis with nonsymmetrically bounded higher derivatives. Zbl 1258.41005
Kofanov, V. A.
2012
Sharp upper bounds of norms of functions and their derivatives on classes of functions with given comparison function. Zbl 1231.41025
Kofanov, V. A.
2011
Some extremal problems of various metrics and sharp inequalities of Nagy-Kolmogorov type. Zbl 1235.41006
Kofanov, V. A.
2010
On some extremal problems of different metrics for differentiable functions on the axis. Zbl 1224.41043
Kofanov, V. A.
2009
On sharp Kolmogorov-type inequalities taking into account the number of sign changes of derivatives. Zbl 1199.41064
Kofanov, V. A.; Miropol’skij, V. E.
2008
On exact Bernstein-type inequalities for splines. Zbl 1112.41010
Kofanov, V. A.
2006
Sharp inequalities of Bernstein and Kolmogorov type. Zbl 1141.41307
Kofanov, V. A.
2005
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.
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.
2003
On Kolmogorov-type inequalities taking into account the number of changes in the sign of derivatives. Zbl 1103.26015
Kofanov, V. A.
2003
Comparison of rearrangements and inequalities of various metrics. Zbl 1331.41014
Kofanov, V. A.
2002
On exact inequalities of Kolmogorov type. Zbl 1060.41008
Kofanov, V. A.
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.
2001
On inequalities of the Landau-Kolmogorov-Hörmander type on a segment and the real line. Zbl 0971.26009
Kofanov, V. A.
2000
Inequalities of Kolmogorov type and some of their applications in approximation theory. Zbl 0909.41008
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
1998
Additive inequalities for intermediate derivatives of differentiable mappings of Banach spaces. Zbl 0927.46025
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
1998
Multivariate inequalities of Kolmogorov type and their applications. Zbl 0911.46024
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
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.
1997
Additive inequalities for the norms of intermediate derivatives. Zbl 0984.41008
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
1997
Exact inequalities of Kolmogorov type for multivariate functions and their applications. Zbl 1054.41510
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
1997
On inequalities for norms of intermediate derivatives on a finite interval. Zbl 0887.26009
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A.
1995
Nonsymmetric approximation in the mean of differentiable functions by algebraic polynomials. Zbl 0677.41007
Babenko, V. F.; Kofanov, V. A.
1988
Polynomials of fixed sign that deviate least from zero in the spaces $$L_ p$$. Zbl 0581.41009
Babenko, V. F.; Kofanov, V. A.
1985
Approximation in the mean of classes of differentiable functions by algebraic polynomials. Zbl 0564.41003
Kofanov, V. A.
1984
Approximation in the mean of classes of differentiable functions by algebraic polynomials. Zbl 0551.41013
Kofanov, V. A.
1983
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#### Cited by 45 Authors

 13 Babenko, Vladyslav Fedorovych 10 Kofanov, V. A. 4 Kovalenko, Oleg V. 4 Parfinovich, Natal’ya V. 3 Arestov, Vitaliĭ Vladimirovich 3 Pichugov, S. A. 2 Babenko, Yuliya 2 Feki, Imed 2 Nfata, Houda 2 Skorokhodov, Dmytro S. 2 Tikhonov, Sergey Yur’evich 1 Babenko, Vira 1 Bagramyan, T. E. 1 Bere, Frederic 1 Boyanov, Borislav Dechev 1 Bustamante, Jason 1 Churilova, Mariya S. 1 Deikalova, Marina V. 1 Filatova, Maria A. 1 Gaidabura, A. E. 1 Ganzburg, Michael Iosifovich 1 Ha Huy Bang 1 Huy, Vu Nhat 1 Kozko, A. I. 1 Kriachko, Nadiia 1 Massoudi, Ameni 1 Miao, Hongyu 1 Motornaya, O. V. 1 Motornyĭ, Vitaliĭ Pavlovich 1 Naidenov, Nikola 1 Nitiema, Pierre Clovis 1 Nursultanov, Erlan D. 1 Ouedraogo, Jean Etienne 1 Parfinovych, Nataliia Viktorivna 1 Pas’ko, A. N. 1 Popovich, I. V. 1 Rafalson, Semyon 1 Sedunova, V. V. 1 Shirokov, Nikolaĭ Alekseevich 1 Sil’vanovich, O. V. 1 Tropp, Joel A. 1 Vakarchuk, Mihail B. 1 Vakarchuk, Sergey B. 1 Wu, Hulin 1 Xue, Hongqi
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#### Cited in 18 Serials

 19 Ukrainian Mathematical Journal 4 Mathematical Notes 4 Journal of Approximation Theory 3 Journal of Mathematical Sciences (New York) 2 Journal of Mathematical Analysis and Applications 2 Constructive Approximation 1 Analysis Mathematica 1 Advances in Mathematics 1 The Annals of Statistics 1 Czechoslovak Mathematical Journal 1 Numerical Functional Analysis and Optimization 1 Acta Mathematica Hungarica 1 Vestnik St. Petersburg University. Mathematics 1 The Journal of Fourier Analysis and Applications 1 Vietnam Journal of Mathematics 1 Journal of Inequalities and Applications 1 Far East Journal of Applied Mathematics 1 Proceedings of the Steklov Institute of Mathematics
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#### Cited in 14 Fields

 34 Approximations and expansions (41-XX) 14 Real functions (26-XX) 10 Functional analysis (46-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 4 Functions of a complex variable (30-XX) 2 Partial differential equations (35-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Statistics (62-XX) 1 Systems theory; control (93-XX)