Danchenko Vladimir Ilich

Publications in Math-Net.Ru

1. Bernstein-type estimates for the derivatives of trigonometric polynomials
   
   Probl. Anal. Issues Anal., 10(28):3 (2021),  31–40
2. Extraction of harmonics from trigonometric polynomials by phase-amplitude operators
   
   Algebra i Analiz, 32:2 (2020),  21–44
3. Extraction of Several Harmonics from Trigonometric Polynomials. Fejér-Type Inequalities
   
   Trudy Mat. Inst. Steklova, 308 (2020),  101–115
4. Extremal and approximative properties of simple partial fractions
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 12,  9–49
5. Cauchy and Poisson formulas for polyanalytic functions and applications
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 1,  15–26
6. Sharp quadrature formulas and inequalities between various metrics for rational functions
   
   Sibirsk. Mat. Zh., 57:2 (2016),  282–296
7. Estimates for $L_p$-norms of simple partial fractions
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 6,  9–19
8. Integral Estimates of Lengths of Level Lines of Rational Functions and Zolotarev's Problem
   
   Mat. Zametki, 94:3 (2013),  331–337
9. Criterion for the appearance of singular nodes under interpolation by simple partial fractions
   
   Trudy Mat. Inst. Steklova, 278 (2012),  49–58
10. On integral equations of stationary distributions for biological systems
    
    CMFD, 36 (2010),  50–60
11. On the massiveness of exceptional sets of the maximum modulus principle
    
    Izv. RAN. Ser. Mat., 74:4 (2010),  63–74
12. Convergence of simple partial fractions in $L_p(\mathbb R)$
    
    Mat. Sb., 201:7 (2010),  53–66
13. Chebyshev's alternance in the approximation of constants by simple partial fractions
    
    Trudy Mat. Inst. Steklova, 270 (2010),  86–96
14. Existence and Uniqueness of a Stationary Distribution of a Biological Community
    
    Trudy Mat. Inst. Steklova, 267 (2009),  46–55
15. Approximation Properties of Sums of the Form $\sum_k\lambda_kh(\lambda_k z)$
    
    Mat. Zametki, 83:5 (2008),  643–649
16. Lengths of lemniscates. Variations of rational functions
    
    Mat. Sb., 198:8 (2007),  51–58
17. Estimates of derivatives of simplest fractions and other questions
    
    Mat. Sb., 197:4 (2006),  33–52
18. Existence Criterion for Estimates of Derivatives of Rational Functions
    
    Mat. Zametki, 78:4 (2005),  493–502
19. Estimates of Green potentials. Applications
    
    Mat. Sb., 194:1 (2003),  61–86
20. On the Boundary Properties of Solutions to the Generalized Cauchy–Riemann Equation
    
    Trudy Mat. Inst. Steklova, 236 (2002),  142–152
21. Approximation by Simplest Fractions
    
    Mat. Zametki, 70:4 (2001),  553–559
22. On boundary behavior of solutions of the generalized Cauchy–Riemann equations
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 3,  16–25
23. Several integral estimates of the derivatives of rational functions on sets of finite density
    
    Mat. Sb., 187:10 (1996),  33–52
24. Estimates of the distances from the poles of logarithmic derivatives of polynomials to lines and circles
    
    Mat. Sb., 185:8 (1994),  63–80
25. 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
26. Mapping of sets of finite $\alpha$-measure by rational functions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 51:6 (1987),  1309–1321
27. Mapping sets of locally finite length by a rational function
    
    Trudy Mat. Inst. Steklov., 180 (1987),  105–107
28. Estimates of norms and variations of rational constituents of meromorphic functions
    
    Dokl. Akad. Nauk SSSR, 280:5 (1985),  1043–1046
29. On separation of singularities of meromorphic functions
    
    Mat. Sb. (N.S.), 125(167):2(10) (1984),  181–198
30. An integral estimate for the derivative of a rational function
    
    Izv. Akad. Nauk SSSR Ser. Mat., 43:2 (1979),  277–293
31. 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