Edit Profile Konovalov, Victor N. Compute Distance To: Compute Author ID: konovalov.victor-n Published as: Konovalov, V.; Konovalov, V. N.; Konovalov, Victor N. Documents Indexed: 52 Publications since 1972 all top 5 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0561.41022Konovalov, V. N. 14 1984 Approximation by polynomials and ridge functions of classes of \(s\)-monotone radial functions. Zbl 1145.41005Konovalov, V. N.; Leviatan, D.; Maiorov, V. E. 9 2008 Approximation of Sobolev classes by their finite-dimensional sections. Zbl 1019.41019Konovalov, V. N. 9 2002 Approximation of Sobolev classes by their sections of finite dimension. Zbl 1003.41017Konovalov, V. N. 8 2002 Shape preserving widths of Sobolev-type classes of \(s\)-monotone functions on a finite interval. Zbl 1038.41008Konovalov, V. N.; Leviatan, D. 7 2003 Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. Zbl 1017.46026Konovalov, V. N.; Leviatan, D. 6 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 0275.41014Dzjadyk, V. K.; Konovalov, V. N. 5 1974 Approximation of Sobolev classes by polynomials and ridge functions. Zbl 1180.41017Konovalov, V. N.; Leviatan, D.; Maiorov, V. E. 4 2009 Widths and shape-preserving widths of Sobolev-type classes of \(s\)-monotone functions. Zbl 1096.41019Gilewicz, J.; Konovalov, V. N.; Leviatan, D. 4 2006 Shape-preserving widths of weighted Sobolev-type classes of positive, monotone, and convex functions on a finite interval. Zbl 1029.41013Konovalov, V. N.; Leviatan, D. 4 2003 Estimates on the approximation of 3-monotone functions by 3-monotone quadratic splines. Zbl 1091.41008Konovalov, V. N.; Leviatan, D. 4 2001 Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. II. Zbl 0992.41013Konovalov, V. N.; Leviatan, D. 4 2001 Approximation of functions of several variables by polynomials with preservation of the differential-difference properties. Zbl 0556.41005Konovalov, V. N. 4 1984 Fluid queue driven by a GI/GI/1 queue. Zbl 0912.60090Konovalov, V. 3 1998 Precise inequalities for norms of functions, third partial, second mixed, or directional derivatives. Zbl 0403.26008Konovalov, V. N. 3 1978 Free-knot splines approximation of \(s\)-monotone functions. Zbl 1037.41004Konovalov, V. N.; Leviatan, D. 2 2004 Continuation of functions of several variables with preservation of differential-difference properties. Zbl 0598.26024Konovalov, V. N. 2 1984 Convex polynomial and ridge approximation of Lipschitz functions in \(\mathbb R^d\). Zbl 1194.41035Konovalov, V. N.; Kopotun, K. A.; Maiorov, V. E. 1 2010 Widths of some classes of convex functions and bodies. Zbl 1196.41017Konovalov, V. N.; Maiorov, V. E. 1 2010 Freeknot splines approximation of Sobolev-type classes of \(s\)-monotone functions. Zbl 1146.41004Konovalov, V. N.; Leviatan, D. 1 2007 Kolmogorov and linear widths of classes of \(s\)-monotone integrable functions. Zbl 1103.41026Konovalov, V. N. 1 2005 Shape-preserving widths of Kolmogorov-type of the classes of positive, monotone, and convex integrable functions. Zbl 1113.41301Konovalov, V. N. 1 2004 Shape-preserving Kolmogorov widths of classes of s-monotone integrable functions. Zbl 1079.41025Konovalov, V. N. 1 2004 Uniform approximation by algebraic polynomials and continuation of functions of many real variables. Zbl 0721.41013Konovalov, V. N. 1 1989 Criteria for extension of the Sobolev spaces \(w_\infty^{(r)}(\Omega)\) for bounded plane domains. Zbl 0625.46036Konovalov, V. N. 1 1987 An approximation theorem of the Jackson type for functions of several variables. Zbl 0492.41013Konovalov, V. N. 1 1982 Zum Problem über die Diameter von Klassen analytischer Funktionen. Zbl 0399.30016Konovalov, V. N. 1 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 0259.41019Dzjadyk, V. K.; Konovalov, V. N. 1 1973 Convex polynomial and ridge approximation of Lipschitz functions in \(\mathbb R^d\). Zbl 1194.41035Konovalov, V. N.; Kopotun, K. A.; Maiorov, V. E. 1 2010 Widths of some classes of convex functions and bodies. Zbl 1196.41017Konovalov, V. N.; Maiorov, V. E. 1 2010 Approximation of Sobolev classes by polynomials and ridge functions. Zbl 1180.41017Konovalov, V. N.; Leviatan, D.; Maiorov, V. E. 4 2009 Approximation by polynomials and ridge functions of classes of \(s\)-monotone radial functions. Zbl 1145.41005Konovalov, V. N.; Leviatan, D.; Maiorov, V. E. 9 2008 Freeknot splines approximation of Sobolev-type classes of \(s\)-monotone functions. Zbl 1146.41004Konovalov, V. N.; Leviatan, D. 1 2007 Widths and shape-preserving widths of Sobolev-type classes of \(s\)-monotone functions. Zbl 1096.41019Gilewicz, J.; Konovalov, V. N.; Leviatan, D. 4 2006 Kolmogorov and linear widths of classes of \(s\)-monotone integrable functions. Zbl 1103.41026Konovalov, V. N. 1 2005 Free-knot splines approximation of \(s\)-monotone functions. Zbl 1037.41004Konovalov, V. N.; Leviatan, D. 2 2004 Shape-preserving widths of Kolmogorov-type of the classes of positive, monotone, and convex integrable functions. Zbl 1113.41301Konovalov, V. N. 1 2004 Shape-preserving Kolmogorov widths of classes of s-monotone integrable functions. Zbl 1079.41025Konovalov, V. N. 1 2004 Shape preserving widths of Sobolev-type classes of \(s\)-monotone functions on a finite interval. Zbl 1038.41008Konovalov, V. N.; Leviatan, D. 7 2003 Shape-preserving widths of weighted Sobolev-type classes of positive, monotone, and convex functions on a finite interval. Zbl 1029.41013Konovalov, V. N.; Leviatan, D. 4 2003 Approximation of Sobolev classes by their finite-dimensional sections. Zbl 1019.41019Konovalov, V. N. 9 2002 Approximation of Sobolev classes by their sections of finite dimension. Zbl 1003.41017Konovalov, V. N. 8 2002 Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. Zbl 1017.46026Konovalov, V. N.; Leviatan, D. 6 2002 Estimates on the approximation of 3-monotone functions by 3-monotone quadratic splines. Zbl 1091.41008Konovalov, V. N.; Leviatan, D. 4 2001 Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. II. Zbl 0992.41013Konovalov, V. N.; Leviatan, D. 4 2001 Fluid queue driven by a GI/GI/1 queue. Zbl 0912.60090Konovalov, V. 3 1998 Uniform approximation by algebraic polynomials and continuation of functions of many real variables. Zbl 0721.41013Konovalov, V. N. 1 1989 Criteria for extension of the Sobolev spaces \(w_\infty^{(r)}(\Omega)\) for bounded plane domains. Zbl 0625.46036Konovalov, V. N. 1 1987 Estimates of Kolmogorov type diameters for classes of differentiable periodic functions. Zbl 0561.41022Konovalov, V. N. 14 1984 Approximation of functions of several variables by polynomials with preservation of the differential-difference properties. Zbl 0556.41005Konovalov, V. N. 4 1984 Continuation of functions of several variables with preservation of differential-difference properties. Zbl 0598.26024Konovalov, V. N. 2 1984 An approximation theorem of the Jackson type for functions of several variables. Zbl 0492.41013Konovalov, V. N. 1 1982 Precise inequalities for norms of functions, third partial, second mixed, or directional derivatives. Zbl 0403.26008Konovalov, V. N. 3 1978 Zum Problem über die Diameter von Klassen analytischer Funktionen. Zbl 0399.30016Konovalov, V. N. 1 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 0275.41014Dzjadyk, V. K.; Konovalov, V. N. 5 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 0259.41019Dzjadyk, V. K.; Konovalov, V. N. 1 1973 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year