Edit Profile (opens in new tab) Danchenko, Vladimir Il’ich Co-Author Distance Author ID: danchenko.vladimir-ilich Published as: Danchenko, V. I.; Danchenko, Vladimir; Danchenko, Vladimir I.; Dancenko, V. I. more...less External Links: MGP · Math-Net.Ru Documents Indexed: 48 Publications since 1977, including 2 Additional arXiv Preprints Co-Authors: 13 Co-Authors with 31 Joint Publications 159 Co-Co-Authors all top 5 Co-Authors 17 single-authored 9 Dolzhenko, Evgeniĭ Prokof’evich 3 Chunaev, Petr 3 Danchenko, D. Ya. 3 Kondakova, E. N. 3 Vasilchenkova, D. G. 2 Chkalova, D. G. 2 Chunaev, P. V. 2 Dodonov, A. E. 2 Semin, Lev A. 1 Davydov, Alekseĭ Aleksandrovich 1 Komarov, Mikhaĭl Anatol’evich 1 Rubay, Roman Vasil’evich 1 Zvyagin, M. Yu all top 5 Serials 9 Journal of Mathematical Sciences (New York) 5 Sbornik: Mathematics 5 Proceedings of the Steklov Institute of Mathematics 4 Mathematical Notes 3 Mathematics of the USSR. Izvestiya 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Russian Mathematics 2 Journal of Approximation Theory 1 Analysis Mathematica 1 Moscow University Mathematics Bulletin 1 Siberian Mathematical Journal 1 Soviet Mathematics. Doklady 1 Mathematics of the USSR, Sbornik 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Russian Academy of Sciences. Doklady. Mathematics 1 St. Petersburg Mathematical Journal 1 Izvestiya: Mathematics 1 Complex Analysis and Operator Theory 1 Problemy Analiza. Issues of Analysis all top 5 Fields 32 Functions of a complex variable (30-XX) 16 Approximations and expansions (41-XX) 6 Real functions (26-XX) 5 Potential theory (31-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Numerical analysis (65-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 226 times in 101 Documents Cited by ▼ Year ▼ Approximation by simple fractions. Zbl 1025.30001 Danchenko, V. I.; Danchenko, D. Ya. 31 2001 Chebyshev’s alternance in the approximation of constants by simple partial fractions. Zbl 1214.41004 Danchenko, V. I.; Kondakova, E. N. 18 2010 Extremal and approximative properties of simple partial fractions. Zbl 1459.41015 Danchenko, V. I.; Komarov, M. A.; Chunaev, P. V. 16 2018 Estimates of derivatives of simplest fractions and other questions. Zbl 1134.41008 Danchenko, V. I. 15 2006 Approximation by amplitude and frequency operators. Zbl 1346.30019 Chunaev, Petr; Danchenko, Vladimir 13 2016 Approximation by simple partial fractions and their generalizations. Zbl 1290.41008 Danchenko, V. I.; Chunaev, P. V. 12 2011 Approximation properties of sums of the form \(\Sigma _k \lambda _k h (\lambda _k z)\). Zbl 1160.30022 Danchenko, V. I. 11 2008 Estimates of the distances from the poles of logarithmic derivatives of polynomials to lines and circles. Zbl 0864.30003 Danchenko, V. I. 11 1994 Existence and uniqueness of a stationary distribution of a biological community. Zbl 1231.92055 Davydov, A. A.; Danchenko, V. I.; Zvyagin, M. Yu. 11 2009 Convergence of simple partial fractions in \(L_p(\mathbb R)\). Zbl 1202.41012 Danchenko, V. I. 11 2010 On rational components of meromorphic functions and their derivatives. Zbl 0738.30027 Danchenko, V. I. 7 1990 Estimates for \(L_p\)-norms of simple partial fractions. Zbl 1342.30023 Danchenko, V. I.; Dodonov, A. E. 6 2014 Extraction of pairs of harmonics from trigonometric polynomials by phase-amplitude operators. Zbl 1398.42001 Danchenko, V. I.; Danchenko, D. Ya. 6 2018 Mapping of sets of finite \(\alpha\)-measure by means of rational functions. Zbl 0673.30004 Dolzhenko, E. P.; Danchenko, V. I. 5 1987 Criterion for the appearance of singular nodes under interpolation by simple partial fractions. Zbl 1298.41003 Danchenko, V. I.; Kondakova, E. N. 5 2012 Estimates for exponential sums. Applications. Zbl 1268.30036 Danchenko, V. I.; Dodonov, A. E. 5 2013 Several integral estimates of the derivatives of rational functions on sets of finite density. Zbl 0866.30002 Danchenko, V. I. 4 1996 On boundary behavior of solutions of the generalized Cauchy-Riemann equations. Zbl 1029.30030 Dolzhenko, E. P.; Danchenko, V. I. 4 1998 Lengths of lemniscates. Variations of rational functions. Zbl 1139.30002 Danchenko, V. I. 4 2007 On the boundary properties of solutions to the generalized Cauchy-Riemann equation. Zbl 1079.30056 Dolzhenko, E. P.; Danchenko, V. I. 3 2002 Estimates of Green potentials. Applications. Zbl 1054.31001 Danchenko, V. I. 3 2003 Extraction of harmonics from trigonometric polynomials by phase-amplitude operators. Zbl 1461.42001 Vasilchenkova, D. G.; Danchenko, V. I. 3 2021 Extraction of several harmonics from trigonometric polynomials. Fejer-type inequalities. Zbl 1442.42006 Vasilchenkova, D. G.; Danchenko, V. I. 3 2020 Dependence of the differentiability of functions of several variables on their rate of approximation by rational functions. Zbl 0392.41007 Dolzhenko, E. P.; Danchenko, V. I. 2 1977 An integral estimate for the derivative of a rational function. Zbl 0443.30050 Danchenko, V. I. 2 1980 On separation of singularities of meromorphic functions. Zbl 0611.30032 Danchenko, V. I. 2 1986 Quadrature formulas with variable nodes and Jackson-Nikolskii inequalities for rational functions. Zbl 1387.41015 Chunaev, Petr; Danchenko, Vladimir 2 2018 Sharp quadrature formulas and inequalities between various metrics for rational functions. Zbl 1344.30028 Danchenko, V. I.; Semin, Lev A. 2 2016 On existence sets for Markov-Bernshtein estimates for rational functions. Zbl 1309.41005 Danchenko, V. I.; Danchenko, D. Ya. 2 2014 Existence criterion for estimates of derivatives of rational functions. Zbl 1107.30007 Danchenko, V. I. 1 2005 On boundary behavior of holomorphic components of bianalytic functions. Zbl 1088.30023 Danchenko, V. I.; Dolzhenko, E. P. 1 2005 On mean integral values of solutions of the generalized Cauchy-Riemann equations. Zbl 1151.30039 Danchenko, V. I.; Dolzhenko, E. P. 1 2007 Algebraic analogs of Fejer inequalities. Zbl 1465.26017 Danchenko, V. I.; Chkalova, D. G. 1 2021 Cauchy and Poisson formulas for polyanalytic functions and applications. Zbl 1336.30066 Danchenko, V. I. 1 2016 On integral equations of stationary distributions for biological systems. Zbl 1281.45003 Danchenko, Vladimir I.; Rubay, Roman Vasil’evich 1 2010 Integral estimates of lengths of level lines of rational functions and Zolotarev’s problem. Zbl 1282.30023 Danchenko, V. I. 1 2013 Extraction of harmonics from trigonometric polynomials by phase-amplitude operators. Zbl 1461.42001 Vasilchenkova, D. G.; Danchenko, V. I. 3 2021 Algebraic analogs of Fejer inequalities. Zbl 1465.26017 Danchenko, V. I.; Chkalova, D. G. 1 2021 Extraction of several harmonics from trigonometric polynomials. Fejer-type inequalities. Zbl 1442.42006 Vasilchenkova, D. G.; Danchenko, V. I. 3 2020 Extremal and approximative properties of simple partial fractions. Zbl 1459.41015 Danchenko, V. I.; Komarov, M. A.; Chunaev, P. V. 16 2018 Extraction of pairs of harmonics from trigonometric polynomials by phase-amplitude operators. Zbl 1398.42001 Danchenko, V. I.; Danchenko, D. Ya. 6 2018 Quadrature formulas with variable nodes and Jackson-Nikolskii inequalities for rational functions. Zbl 1387.41015 Chunaev, Petr; Danchenko, Vladimir 2 2018 Approximation by amplitude and frequency operators. Zbl 1346.30019 Chunaev, Petr; Danchenko, Vladimir 13 2016 Sharp quadrature formulas and inequalities between various metrics for rational functions. Zbl 1344.30028 Danchenko, V. I.; Semin, Lev A. 2 2016 Cauchy and Poisson formulas for polyanalytic functions and applications. Zbl 1336.30066 Danchenko, V. I. 1 2016 Estimates for \(L_p\)-norms of simple partial fractions. Zbl 1342.30023 Danchenko, V. I.; Dodonov, A. E. 6 2014 On existence sets for Markov-Bernshtein estimates for rational functions. Zbl 1309.41005 Danchenko, V. I.; Danchenko, D. Ya. 2 2014 Estimates for exponential sums. Applications. Zbl 1268.30036 Danchenko, V. I.; Dodonov, A. E. 5 2013 Integral estimates of lengths of level lines of rational functions and Zolotarev’s problem. Zbl 1282.30023 Danchenko, V. I. 1 2013 Criterion for the appearance of singular nodes under interpolation by simple partial fractions. Zbl 1298.41003 Danchenko, V. I.; Kondakova, E. N. 5 2012 Approximation by simple partial fractions and their generalizations. Zbl 1290.41008 Danchenko, V. I.; Chunaev, P. V. 12 2011 Chebyshev’s alternance in the approximation of constants by simple partial fractions. Zbl 1214.41004 Danchenko, V. I.; Kondakova, E. N. 18 2010 Convergence of simple partial fractions in \(L_p(\mathbb R)\). Zbl 1202.41012 Danchenko, V. I. 11 2010 On integral equations of stationary distributions for biological systems. Zbl 1281.45003 Danchenko, Vladimir I.; Rubay, Roman Vasil’evich 1 2010 Existence and uniqueness of a stationary distribution of a biological community. Zbl 1231.92055 Davydov, A. A.; Danchenko, V. I.; Zvyagin, M. Yu. 11 2009 Approximation properties of sums of the form \(\Sigma _k \lambda _k h (\lambda _k z)\). Zbl 1160.30022 Danchenko, V. I. 11 2008 Lengths of lemniscates. Variations of rational functions. Zbl 1139.30002 Danchenko, V. I. 4 2007 On mean integral values of solutions of the generalized Cauchy-Riemann equations. Zbl 1151.30039 Danchenko, V. I.; Dolzhenko, E. P. 1 2007 Estimates of derivatives of simplest fractions and other questions. Zbl 1134.41008 Danchenko, V. I. 15 2006 Existence criterion for estimates of derivatives of rational functions. Zbl 1107.30007 Danchenko, V. I. 1 2005 On boundary behavior of holomorphic components of bianalytic functions. Zbl 1088.30023 Danchenko, V. I.; Dolzhenko, E. P. 1 2005 Estimates of Green potentials. Applications. Zbl 1054.31001 Danchenko, V. I. 3 2003 On the boundary properties of solutions to the generalized Cauchy-Riemann equation. Zbl 1079.30056 Dolzhenko, E. P.; Danchenko, V. I. 3 2002 Approximation by simple fractions. Zbl 1025.30001 Danchenko, V. I.; Danchenko, D. Ya. 31 2001 On boundary behavior of solutions of the generalized Cauchy-Riemann equations. Zbl 1029.30030 Dolzhenko, E. P.; Danchenko, V. I. 4 1998 Several integral estimates of the derivatives of rational functions on sets of finite density. Zbl 0866.30002 Danchenko, V. I. 4 1996 Estimates of the distances from the poles of logarithmic derivatives of polynomials to lines and circles. Zbl 0864.30003 Danchenko, V. I. 11 1994 On rational components of meromorphic functions and their derivatives. Zbl 0738.30027 Danchenko, V. I. 7 1990 Mapping of sets of finite \(\alpha\)-measure by means of rational functions. Zbl 0673.30004 Dolzhenko, E. P.; Danchenko, V. I. 5 1987 On separation of singularities of meromorphic functions. Zbl 0611.30032 Danchenko, V. I. 2 1986 An integral estimate for the derivative of a rational function. Zbl 0443.30050 Danchenko, V. I. 2 1980 Dependence of the differentiability of functions of several variables on their rate of approximation by rational functions. Zbl 0392.41007 Dolzhenko, E. P.; Danchenko, V. I. 2 1977 all cited Publications top 5 cited Publications all top 5 Cited by 66 Authors 23 Danchenko, Vladimir Il’ich 21 Komarov, Mikhaĭl Anatol’evich 6 Borodin, Petr A. 5 Chunaev, Petr 4 Chunaev, P. V. 4 Danchenko, D. Ya. 3 Kondakova, E. N. 3 Nikolaev, Mikhaĭl V. 3 Pekarskij, A. A. 2 Atamuratov, Alimardon Abdirimovich 2 Baranov, Anton D. 2 Chkalova, D. G. 2 Dadashova, Irada B. 2 Dodonov, A. E. 2 Dolzhenko, Evgeniĭ Prokof’evich 2 Galkin, E. G. 2 Kayumov, Il’giz Rifatovich 2 Mamedkhanov, Jamal Islam oglu 2 Sachkov, Yuriĭ Leonidovich 2 Shklyaev, Konstantin S. 2 Vasilchenkova, D. G. 1 Abakumov, Evgeny V. 1 Akturk, Mehmet Ali 1 Avkhadiev, Farit Gabidinovich 1 Bespalov, Mikhaĭl Sergeevich 1 Bodrov, A. G. 1 Borichev, Aleksandr Aleksandrovich 1 Cui, Yanyan 1 Dieckmann, Ulf 1 Dyuzhina, N. A. 1 Fedorovskiĭ, Konstantin Yur’evich 1 Fryantsev, A. V. 1 Gadzhiev, S. R. 1 Gauthier, Paul M. 1 Hohage, Thorsten 1 Huhtanen, Marko 1 Kalistratova, A. V. 1 Kayumov, Fanil’ Damirovich 1 Kayumova, A. V. 1 Keller, Ingeborg 1 Khachatryan, Khachatur Aghavardovich 1 Khatamov, Akhtam 1 Kosukhin, Oleg N. 1 Larina, Yana Yur’evna 1 Lehrenfeld, Christoph 1 Li, Zunfeng 1 Lukashov, Alekseĭ Leonidovich 1 Malkova, K. M. 1 Mardvilko, Tat’yana Sergeevna 1 Nasyrov, Semen R. 1 Nevanlinna, Olavi 1 Nigmatyanova, Yu. M. 1 Nikol’skiĭ, Nikolaĭ Kapitonovich 1 Novak, Ya. V. 1 Plonka, Gerlind 1 Preuß, Janosch 1 Qiao, Yuying 1 Ramazanov, A. K. 1 Rodina, Lyudmila Ivanova 1 Rubay, Roman Vasil’evich 1 Savchuk, A. V. 1 Savost’yanov, A. S. 1 Semin, Lev A. 1 Vakarchuk, Mihail B. 1 Wang, Liping 1 Zarouf, Rachid all top 5 Cited in 32 Serials 24 Journal of Mathematical Sciences (New York) 17 Mathematical Notes 7 Russian Mathematics 5 Journal of Approximation Theory 4 Moscow University Computational Mathematics and Cybernetics 4 St. Petersburg Mathematical Journal 4 Izvestiya: Mathematics 4 Doklady Mathematics 4 Proceedings of the Steklov Institute of Mathematics 3 Problemy Analiza. Issues of Analysis 2 Siberian Mathematical Journal 2 Complex Variables and Elliptic Equations 1 Journal of Mathematical Analysis and Applications 1 Russian Mathematical Surveys 1 Mathematische Annalen 1 Numerische Mathematik 1 Acta Mathematica Hungarica 1 Indagationes Mathematicae. New Series 1 SIAM Journal on Scientific Computing 1 Bulletin des Sciences Mathématiques 1 Sbornik: Mathematics 1 Abstract and Applied Analysis 1 Matematychni Studiï 1 Journal of Dynamical and Control Systems 1 Lobachevskii Journal of Mathematics 1 Differential Equations 1 Complex Analysis and Operator Theory 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Journal of Classical Analysis 1 Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Complex Analysis and its Synergies all top 5 Cited in 22 Fields 49 Functions of a complex variable (30-XX) 48 Approximations and expansions (41-XX) 10 Numerical analysis (65-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Biology and other natural sciences (92-XX) 7 Real functions (26-XX) 7 Integral equations (45-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Operator theory (47-XX) 3 Systems theory; control (93-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year