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Danchenko, Vladimir Ilich
Statistics Math-Net.Ru
Total publications: 31
Scientific articles: 31

Number of views:
This page:7068
Abstract pages:16671
Full texts:4242
References:1717
Professor
Doctor of physico-mathematical sciences (1999)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 25.04.1953
E-mail: ,
Keywords: separation of singularities, polyanalytical functions, rational approximations, Green capacity and potentials, hyperbolic distance and measure, capacities and potentials, maximum-modulus principle, Greens formulas.
   
Main publications:
  • Danchenko V.I. O razdelenii osobennostei meromorfykh funktsii // Matem.sb. 1984. T.125(167). S. 181-198.
  • Danchenko V.I. Otsenki rasstoyanii ot polyusov logarifmicheskikh proizvodnykh mnogochlenov do pryamykh i okruzhnostei // Matem.sb. 1994. T. 185. N 8. S. 63-80.
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  • Danchenko V. I. Ob otsenkakh norm i variatsii ratsionalnykh sostavlyayuschikh meromorfnykh funktsii // DAN SSSR. 1985. T. 280. S. 1043–1046.
  • Danchenko V. I. O ratsionalnykh sostavlyayuschikh meromorfnykh funktsii i ikh proizvodnykh // Analysis Mathematica. 1990. T. 16, # 4. P. 241–255.
  • Danchenko V. I. O skorosti priblizheniya k deistvitelnoi osi polyusov normirovannykh logarifmicheskikh proizvodnykh polinomov // DAN. 1993. T. 330, # 1. S. 15–16.
  • Dolzhenko E. P., Danchenko V. I. O granichnom povedenii reshenii obobschennogo uravneniya Koshi–Rimana // Vestn. Mosk. un-ta. Cer. 1, Matematika. Mekhanika. 1998. # 3. S. 16–25.
  • V. I. Danchenko and E. P. Dolzhenko, “On boundary behavior of holomorphic components of bianalytic functions” Journal of Mathematical Sciences, Vol. 126, No. 6, 2005, 1586-1592
  • V. I. Danchenko and E. P. Dolzhenko, “On mean integral values of solutions of the generalized Cauchy-Riemann equations” Journal of Mathematical Sciences, Vol. 145, No. 5, 2007, 5188-5191
  • V. I. Danchenko and P.V.Chunaev, “Approximation by simple partial fractions and their generalizations”, Journal of Mathematical Sciences, 176:6 (2011), 844-859
  • V. I. Danchenko, A. E. Dodonov. Estimates for exponential sums. Applications. Journal of Mathematical Sciences: Volume 188, Issue 3 (2013), pp 197-206
  • Danchenko V.I., Danchenko D.Y. On existence sets for Markov–Bernshtein estimates for rational functions // Journal of Mathematical Sciences. July 2014, Volume 200, Issue 1, pp 46–51
  • Petr Chunaev, Vladimir Danchenko. Approximation by amplitude and frequency operators // Journal of Approximation Theory. 2016. v. 207. p. 1-30
  • P. Chunaev and V. Danchenko, Quadrature formulas with variable nodes and Jackson–Nikolskii inequalities for rational functions, Journal of Approximation Theory, Volume 228, 2018, pp. 1-20.
  • V. I. Danchenko, D. Ya. Danchenko. Extraction of pairs of harmonics from trigonometric polynomials by phase- amplitude operators // Journal of Mathematical Sciences, Vol. 232 , No. 3 , July 2018, P. 322-337
  • V.I. Danchenko, E.N. Kondakova. Algorithm for constructing simple partial fractions of the best approximation of constants // Journal of Mathematical Sciences, NewYork (Springer), Vol. 239, No 3, June, 2019. P. 299-308
  • Chunaev P., Danchenko V., Gorin’s Problem for Individual Simple Partial Fractions // Complex Analysis and Operator Theory. Vol. 14, Article number: 29 (2020). https://doi.org/10.1007/s11785-020-00986-4
  • V. I. Danchenko, D. G. Chkalova. Algebraic analogs of Fejer inequalities // Journal of Mathematical Sciences, 2021. Vol. 255, No. 5, 601-609. DOI 10.1007/s10958-021-05397-0 https://rdcu.be/ckANW

https://www.mathnet.ru/eng/person8467
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Publications in Math-Net.Ru Citations
2021
1. V. I. Danchenko, D. G. Chkalova, “Bernstein-type estimates for the derivatives of trigonometric polynomials”, Probl. Anal. Issues Anal., 10(28):3 (2021),  31–40  mathnet  isi
2020
2. D. G. Vasilchenkova, V. I. Danchenko, “Extraction of harmonics from trigonometric polynomials by phase-amplitude operators”, Algebra i Analiz, 32:2 (2020),  21–44  mathnet  elib; St. Petersburg Math. J., 32:2 (2021), 215–232  isi  scopus 4
3. D. G. Vasilchenkova, V. I. Danchenko, “Extraction of Several Harmonics from Trigonometric Polynomials. Fejér-Type Inequalities”, Trudy Mat. Inst. Steklova, 308 (2020),  101–115  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 308 (2020), 92–106  isi  scopus 4
2018
4. V. I. Danchenko, M. A. Komarov, P. V. Chunaev, “Extremal and approximative properties of simple partial fractions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 12,  9–49  mathnet; Russian Math. (Iz. VUZ), 62:12 (2018), 6–41  isi  scopus 15
2016
5. V. I. Danchenko, “Cauchy and Poisson formulas for polyanalytic functions and applications”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 1,  15–26  mathnet; Russian Math. (Iz. VUZ), 60:1 (2016), 11–21  isi  scopus 2
6. V. I. Danchenko, L. A. Semin, “Sharp quadrature formulas and inequalities between various metrics for rational functions”, Sibirsk. Mat. Zh., 57:2 (2016),  282–296  mathnet  mathscinet  elib; Siberian Math. J., 57:2 (2016), 218–229  isi  scopus 2
2014
7. V. I. Danchenko, A. E. Dodonov, “Estimates for $L_p$-norms of simple partial fractions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 6,  9–19  mathnet; Russian Math. (Iz. VUZ), 58:6 (2014), 6–15  scopus 6
2013
8. V. I. Danchenko, “Integral Estimates of Lengths of Level Lines of Rational Functions and Zolotarev's Problem”, Mat. Zametki, 94:3 (2013),  331–337  mathnet  mathscinet  zmath  elib; Math. Notes, 94:3 (2013), 314–319  isi  elib  scopus 1
2012
9. V. I. Danchenko, E. N. Kondakova, “Criterion for the appearance of singular nodes under interpolation by simple partial fractions”, Trudy Mat. Inst. Steklova, 278 (2012),  49–58  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 278 (2012), 41–50  isi  elib  scopus 3
2010
10. V. I. Danchenko, R. V. Rubay, “On integral equations of stationary distributions for biological systems”, CMFD, 36 (2010),  50–60  mathnet  mathscinet; Journal of Mathematical Sciences, 171:1 (2010), 34–45  isi 2
11. V. I. Danchenko, “On the massiveness of exceptional sets of the maximum modulus principle”, Izv. RAN. Ser. Mat., 74:4 (2010),  63–74  mathnet  mathscinet  zmath  elib; Izv. Math., 74:4 (2010), 723–734  isi  elib  scopus
12. V. I. Danchenko, “Convergence of simple partial fractions in $L_p(\mathbb R)$”, Mat. Sb., 201:7 (2010),  53–66  mathnet  mathscinet  zmath  elib; Sb. Math., 201:7 (2010), 985–997  isi  elib  scopus 15
13. V. I. Danchenko, E. N. Kondakova, “Chebyshev's alternance in the approximation of constants by simple partial fractions”, Trudy Mat. Inst. Steklova, 270 (2010),  86–96  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 270 (2010), 80–90  isi  scopus 20
2009
14. A. A. Davydov, V. I. Danchenko, M. Yu. Zvyagin, “Existence and Uniqueness of a Stationary Distribution of a Biological Community”, Trudy Mat. Inst. Steklova, 267 (2009),  46–55  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 267 (2009), 40–49  isi  elib  scopus 13
2008
15. V. I. Danchenko, “Approximation Properties of Sums of the Form $\sum_k\lambda_kh(\lambda_k z)$”, Mat. Zametki, 83:5 (2008),  643–649  mathnet  mathscinet  zmath  elib; Math. Notes, 83:5 (2008), 587–593  isi  elib  scopus 15
2007
16. V. I. Danchenko, “Lengths of lemniscates. Variations of rational functions”, Mat. Sb., 198:8 (2007),  51–58  mathnet  mathscinet  zmath  elib; Sb. Math., 198:8 (2007), 1111–1117  isi  scopus 6
2006
17. V. I. Danchenko, “Estimates of derivatives of simplest fractions and other questions”, Mat. Sb., 197:4 (2006),  33–52  mathnet  mathscinet  zmath  elib; Sb. Math., 197:4 (2006), 505–524  isi  elib  scopus 21
2005
18. V. I. Danchenko, “Existence Criterion for Estimates of Derivatives of Rational Functions”, Mat. Zametki, 78:4 (2005),  493–502  mathnet  mathscinet  zmath  elib; Math. Notes, 78:4 (2005), 456–465  isi  scopus 2
2003
19. V. I. Danchenko, “Estimates of Green potentials. Applications”, Mat. Sb., 194:1 (2003),  61–86  mathnet  mathscinet  zmath; Sb. Math., 194:1 (2003), 63–88  isi  scopus 8
2002
20. E. P. Dolzhenko, V. I. Danchenko, “On the Boundary Properties of Solutions to the Generalized Cauchy–Riemann Equation”, Trudy Mat. Inst. Steklova, 236 (2002),  142–152  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 236 (2002), 132–142 2
2001
21. V. I. Danchenko, D. Ya. Danchenko, “Approximation by Simplest Fractions”, Mat. Zametki, 70:4 (2001),  553–559  mathnet  mathscinet  zmath  elib; Math. Notes, 70:4 (2001), 502–507  isi 41
1998
22. E. P. Dolzhenko, V. I. Danchenko, “On boundary behavior of solutions of the generalized Cauchy–Riemann equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 3,  16–25  mathnet  mathscinet  zmath 6
1996
23. V. I. Danchenko, “Several integral estimates of the derivatives of rational functions on sets of finite density”, Mat. Sb., 187:10 (1996),  33–52  mathnet  mathscinet  zmath; Sb. Math., 187:10 (1996), 1443–1463  isi  scopus 12
1994
24. V. I. Danchenko, “Estimates of the distances from the poles of logarithmic derivatives of polynomials to lines and circles”, Mat. Sb., 185:8 (1994),  63–80  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 82:2 (1995), 425–440  isi 20
1993
25. V. I. Danchenko, “On the rate of convergence to the real axis of poles of normalized logarithmic derivatives of polynomials”, Dokl. Akad. Nauk, 330:1 (1993),  15–16  mathnet  mathscinet  zmath; Dokl. Math., 47:3 (1993), 371–373 3
1987
26. E. P. Dolzhenko, V. I. Danchenko, “Mapping of sets of finite $\alpha$-measure by rational functions”, Izv. Akad. Nauk SSSR Ser. Mat., 51:6 (1987),  1309–1321  mathnet  mathscinet  zmath; Math. USSR-Izv., 31:3 (1988), 621–633 5
27. E. P. Dolzhenko, V. I. Danchenko, “Mapping sets of locally finite length by a rational function”, Trudy Mat. Inst. Steklov., 180 (1987),  105–107  mathnet  zmath; Proc. Steklov Inst. Math., 180 (1989), 120–123
1985
28. V. I. Danchenko, “Estimates of norms and variations of rational constituents of meromorphic functions”, Dokl. Akad. Nauk SSSR, 280:5 (1985),  1043–1046  mathnet  mathscinet  zmath 5
1984
29. V. I. Danchenko, “On separation of singularities of meromorphic functions”, Mat. Sb. (N.S.), 125(167):2(10) (1984),  181–198  mathnet  mathscinet  zmath; Math. USSR-Sb., 53:1 (1986), 183–201 11
1979
30. V. I. Danchenko, “An integral estimate for the derivative of a rational function”, Izv. Akad. Nauk SSSR Ser. Mat., 43:2 (1979),  277–293  mathnet  mathscinet  zmath; Math. USSR-Izv., 14:2 (1980), 257–273  isi 8
1977
31. E. P. Dolzhenko, V. I. Danchenko, “Dependence of the differentiability of functions of several variables on their rate of approximation by rational functions”, Izv. Akad. Nauk SSSR Ser. Mat., 41:1 (1977),  182–202  mathnet  mathscinet  zmath; Math. USSR-Izv., 11:1 (1977), 171–192 3

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