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Konovalov, Victor N.

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 Author ID: konovalov.victor-n Published as: Konovalov, V.; Konovalov, V. N.; Konovalov, Victor N.
 Documents Indexed: 52 Publications since 1972
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Co-Authors

 32 single-authored 12 Leviatan, Dany 3 Maiorov, Vitaly E. 2 Bilenko, V. I. 2 Dzyadyk, Vladyslav Kyrylovych 2 Kopotun, Kirill A. 2 Luchka, A. Yu 2 Lukovsky, Ivan Oleksandrovych 2 Pukhov, G. E. 2 Ronto, N. I. 1 Ditzian, Zeev 1 Gilewicz, Jacek 1 Maiorov, V. E.
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Serials

 9 Ukraïns’kyĭ Matematychnyĭ Zhurnal 8 Ukrainian Mathematical Journal 5 Mathematical Notes 4 Journal of Approximation Theory 3 Matematicheskie Zametki 2 Rocky Mountain Journal of Mathematics 2 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 2 Advances in Computational Mathematics 2 East Journal on Approximations 1 Analysis Mathematica 1 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 1 Israel Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Soviet Mathematics. Doklady 1 Constructive Approximation 1 Vychislitel’nye Sistemy 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny
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Fields

 38 Approximations and expansions (41-XX) 12 Functional analysis (46-XX) 6 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Numerical analysis (65-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX)

Citations contained in zbMATH

28 Publications have been cited 103 times in 58 Documents Cited by Year
Estimates of Kolmogorov type diameters for classes of differentiable periodic functions. Zbl 0561.41022
Konovalov, V. N.
1984
Approximation by polynomials and ridge functions of classes of $$s$$-monotone radial functions. Zbl 1145.41005
Konovalov, V. N.; Leviatan, D.; Maiorov, V. E.
2008
Approximation of Sobolev classes by their finite-dimensional sections. Zbl 1019.41019
Konovalov, V. N.
2002
Approximation of Sobolev classes by their sections of finite dimension. Zbl 1003.41017
Konovalov, V. N.
2002
Shape preserving widths of Sobolev-type classes of $$s$$-monotone functions on a finite interval. Zbl 1038.41008
Konovalov, V. N.; Leviatan, D.
2003
Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. Zbl 1017.46026
Konovalov, V. N.; Leviatan, D.
2002
Method of expanding unity in regions with piecewise smooth boundaries as sums of algebraic polynomials of two variables having certain properties of a kernel. Zbl 0275.41014
Dzjadyk, V. K.; Konovalov, V. N.
1974
Approximation of Sobolev classes by polynomials and ridge functions. Zbl 1180.41017
Konovalov, V. N.; Leviatan, D.; Maiorov, V. E.
2009
Widths and shape-preserving widths of Sobolev-type classes of $$s$$-monotone functions. Zbl 1096.41019
Gilewicz, J.; Konovalov, V. N.; Leviatan, D.
2006
Shape-preserving widths of weighted Sobolev-type classes of positive, monotone, and convex functions on a finite interval. Zbl 1029.41013
Konovalov, V. N.; Leviatan, D.
2003
Estimates on the approximation of 3-monotone functions by 3-monotone quadratic splines. Zbl 1091.41008
Konovalov, V. N.; Leviatan, D.
2001
Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. II. Zbl 0992.41013
Konovalov, V. N.; Leviatan, D.
2001
Approximation of functions of several variables by polynomials with preservation of the differential-difference properties. Zbl 0556.41005
Konovalov, V. N.
1984
Fluid queue driven by a GI/GI/1 queue. Zbl 0912.60090
Konovalov, V.
1998
Precise inequalities for norms of functions, third partial, second mixed, or directional derivatives. Zbl 0403.26008
Konovalov, V. N.
1978
Free-knot splines approximation of $$s$$-monotone functions. Zbl 1037.41004
Konovalov, V. N.; Leviatan, D.
2004
Continuation of functions of several variables with preservation of differential-difference properties. Zbl 0598.26024
Konovalov, V. N.
1984
Convex polynomial and ridge approximation of Lipschitz functions in $$\mathbb R^d$$. Zbl 1194.41035
Konovalov, V. N.; Kopotun, K. A.; Maiorov, V. E.
2010
Widths of some classes of convex functions and bodies. Zbl 1196.41017
Konovalov, V. N.; Maiorov, V. E.
2010
Freeknot splines approximation of Sobolev-type classes of $$s$$-monotone functions. Zbl 1146.41004
Konovalov, V. N.; Leviatan, D.
2007
Kolmogorov and linear widths of classes of $$s$$-monotone integrable functions. Zbl 1103.41026
Konovalov, V. N.
2005
Shape-preserving widths of Kolmogorov-type of the classes of positive, monotone, and convex integrable functions. Zbl 1113.41301
Konovalov, V. N.
2004
Shape-preserving Kolmogorov widths of classes of s-monotone integrable functions. Zbl 1079.41025
Konovalov, V. N.
2004
Uniform approximation by algebraic polynomials and continuation of functions of many real variables. Zbl 0721.41013
Konovalov, V. N.
1989
Criteria for extension of the Sobolev spaces $$w_\infty^{(r)}(\Omega)$$ for bounded plane domains. Zbl 0625.46036
Konovalov, V. N.
1987
An approximation theorem of the Jackson type for functions of several variables. Zbl 0492.41013
Konovalov, V. N.
1982
Zum Problem über die Diameter von Klassen analytischer Funktionen. Zbl 0399.30016
Konovalov, V. N.
1978
Die Methode der Zerlegung der Einheit in Gebieten mit stückweise glattem Rand in eine Summe algebraischer Polynome zweier Veränderlichen, die gewisse Eigenschaften von Kernen besitzen. Zbl 0259.41019
Dzjadyk, V. K.; Konovalov, V. N.
1973
Convex polynomial and ridge approximation of Lipschitz functions in $$\mathbb R^d$$. Zbl 1194.41035
Konovalov, V. N.; Kopotun, K. A.; Maiorov, V. E.
2010
Widths of some classes of convex functions and bodies. Zbl 1196.41017
Konovalov, V. N.; Maiorov, V. E.
2010
Approximation of Sobolev classes by polynomials and ridge functions. Zbl 1180.41017
Konovalov, V. N.; Leviatan, D.; Maiorov, V. E.
2009
Approximation by polynomials and ridge functions of classes of $$s$$-monotone radial functions. Zbl 1145.41005
Konovalov, V. N.; Leviatan, D.; Maiorov, V. E.
2008
Freeknot splines approximation of Sobolev-type classes of $$s$$-monotone functions. Zbl 1146.41004
Konovalov, V. N.; Leviatan, D.
2007
Widths and shape-preserving widths of Sobolev-type classes of $$s$$-monotone functions. Zbl 1096.41019
Gilewicz, J.; Konovalov, V. N.; Leviatan, D.
2006
Kolmogorov and linear widths of classes of $$s$$-monotone integrable functions. Zbl 1103.41026
Konovalov, V. N.
2005
Free-knot splines approximation of $$s$$-monotone functions. Zbl 1037.41004
Konovalov, V. N.; Leviatan, D.
2004
Shape-preserving widths of Kolmogorov-type of the classes of positive, monotone, and convex integrable functions. Zbl 1113.41301
Konovalov, V. N.
2004
Shape-preserving Kolmogorov widths of classes of s-monotone integrable functions. Zbl 1079.41025
Konovalov, V. N.
2004
Shape preserving widths of Sobolev-type classes of $$s$$-monotone functions on a finite interval. Zbl 1038.41008
Konovalov, V. N.; Leviatan, D.
2003
Shape-preserving widths of weighted Sobolev-type classes of positive, monotone, and convex functions on a finite interval. Zbl 1029.41013
Konovalov, V. N.; Leviatan, D.
2003
Approximation of Sobolev classes by their finite-dimensional sections. Zbl 1019.41019
Konovalov, V. N.
2002
Approximation of Sobolev classes by their sections of finite dimension. Zbl 1003.41017
Konovalov, V. N.
2002
Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. Zbl 1017.46026
Konovalov, V. N.; Leviatan, D.
2002
Estimates on the approximation of 3-monotone functions by 3-monotone quadratic splines. Zbl 1091.41008
Konovalov, V. N.; Leviatan, D.
2001
Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. II. Zbl 0992.41013
Konovalov, V. N.; Leviatan, D.
2001
Fluid queue driven by a GI/GI/1 queue. Zbl 0912.60090
Konovalov, V.
1998
Uniform approximation by algebraic polynomials and continuation of functions of many real variables. Zbl 0721.41013
Konovalov, V. N.
1989
Criteria for extension of the Sobolev spaces $$w_\infty^{(r)}(\Omega)$$ for bounded plane domains. Zbl 0625.46036
Konovalov, V. N.
1987
Estimates of Kolmogorov type diameters for classes of differentiable periodic functions. Zbl 0561.41022
Konovalov, V. N.
1984
Approximation of functions of several variables by polynomials with preservation of the differential-difference properties. Zbl 0556.41005
Konovalov, V. N.
1984
Continuation of functions of several variables with preservation of differential-difference properties. Zbl 0598.26024
Konovalov, V. N.
1984
An approximation theorem of the Jackson type for functions of several variables. Zbl 0492.41013
Konovalov, V. N.
1982
Precise inequalities for norms of functions, third partial, second mixed, or directional derivatives. Zbl 0403.26008
Konovalov, V. N.
1978
Zum Problem über die Diameter von Klassen analytischer Funktionen. Zbl 0399.30016
Konovalov, V. N.
1978
Method of expanding unity in regions with piecewise smooth boundaries as sums of algebraic polynomials of two variables having certain properties of a kernel. Zbl 0275.41014
Dzjadyk, V. K.; Konovalov, V. N.
1974
Die Methode der Zerlegung der Einheit in Gebieten mit stückweise glattem Rand in eine Summe algebraischer Polynome zweier Veränderlichen, die gewisse Eigenschaften von Kernen besitzen. Zbl 0259.41019
Dzjadyk, V. K.; Konovalov, V. N.
1973
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Cited by 60 Authors

 11 Konovalov, Victor N. 8 Leviatan, Dany 5 Liu, Yongping 4 Vasil’eva, Anastasiya Andreevna 4 Xiao, Weiwei 3 Babenko, Vladyslav Fedorovych 3 Cao, Feilong 3 Kopotun, Kirill A. 3 Lin, Shaobo 3 Prymak, Andriy V. 2 Kudryavtsev, Sergey N. 2 Maiorov, V. E. 2 Maiorov, Vitaly E. 2 Mao, Bingwei 2 Subbotin, Yuriĭ Nikolaevich 2 Telyakovskiĭ, Sergeĭ Aleksandrovich 2 Tian, Naishuo 2 Wang, Fuwei 2 Xu, Zongben 2 Yang, Lianhong 2 Zobin, Nahum 1 Bobochko, V. N. 1 Bobodzhanov, Abdukhafiz Abdurasulovich 1 Bondarenko, Andriy V. 1 Chui, Charles Kam-tai 1 Dzyubenko, German A. 1 Fang, Baoyan 1 Farkov, Yuriĭ Anatol’evich 1 Gilewicz, Jacek 1 Hinrichs, Aicke 1 Khatamov, Akhtam 1 Konyagin, Sergeĭ Vladimirovich 1 Koshelev, Anton A. 1 Kravchuk, V. R. 1 Kuleshov, Andrey A. 1 Lebair, Teresa M. 1 Li, Quanlin 1 Malykhin, Yuriĭ Vyacheslavovich 1 Novak, Erich 1 Parfinovich, Natal’ya V. 1 Pichugov, S. A. 1 Qin, Xinqiang 1 Safonov, Valeriĭ Fedorovich 1 Semenyuk, V. B. 1 Shen, Jinglai 1 Shvachko, A. V. 1 Sidorov, Sergeĭ Petrovich 1 Su, Lijun 1 Totik, Vilmos 1 Vakarchuk, Sergei Borisovich 1 Wang, Lihua 1 Wang, Zhigang 1 Wei, Guo 1 Woźniakowski, Henryk 1 Xie, Tingfan 1 Xu, Guiqiao 1 Yang, Wei 1 Yang, Wei 1 Zhao, Yiqiang Q. 1 Zhou, Dingxuan
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Cited in 25 Serials

 11 Mathematical Notes 11 Journal of Approximation Theory 6 Ukrainian Mathematical Journal 3 Proceedings of the Steklov Institute of Mathematics 2 Analysis Mathematica 2 Journal of Mathematical Analysis and Applications 2 Applied Mathematics and Computation 2 Russian Mathematics 2 Russian Journal of Mathematical Physics 2 Science China. Mathematics 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Advances in Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Stochastic Analysis and Applications 1 Journal of Complexity 1 Neural Networks 1 The Journal of Geometric Analysis 1 Journal of Mathematical Sciences (New York) 1 Advances in Computational Mathematics 1 Acta Mathematica Sinica. English Series 1 Journal of Applied Mathematics and Computing 1 Analysis and Applications (Singapore) 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Electronic Journal of Statistics
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Cited in 19 Fields

 44 Approximations and expansions (41-XX) 11 Functional analysis (46-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Operator theory (47-XX) 3 Operations research, mathematical programming (90-XX) 2 Real functions (26-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX)