Pekarskii Alexandr Antonovich

Publications in Math-Net.Ru

1. Application of the real Hardy-Sobolev space on the line to study the order of uniform rational approximations of functions
   
   Journal of the Belarusian State University. Mathematics and Informatics, 3 (2022),  16–36
2. Conjugate Functions on the Closed Interval and Their Relationship with Uniform Rational and Piecewise Polynomial Approximations
   
   Mat. Zametki, 99:2 (2016),  248–261
3. Conjugate functions and their connection with uniform rational and piecewise-polynomial approximations
   
   Mat. Sb., 206:2 (2015),  175–182
4. Approximation to the Function $z^{\alpha}$ by Rational Fractions in a Domain with Zero External Angle
   
   Mat. Zametki, 91:5 (2012),  761–772
5. Direct and inverse theorems of rational approximation in the Bergman space
   
   Mat. Sb., 202:9 (2011),  77–96
6. On the Elimination of Singularities of Meromorphic Functions with Finitely Many Poles $p^r$
   
   Mat. Zametki, 80:2 (2006),  317–319
7. Comparison of the Best Uniform Approximations of Analytic Functions in the Disk and on Its Boundary
   
   Trudy Mat. Inst. Steklova, 255 (2006),  227–232
8. Bernstein type inequalities for arbitrary rational functions in the spaces $L_p$, $0<p<1$, on Lavrent'ev curves
   
   Algebra i Analiz, 16:3 (2004),  143–170
9. Best Uniform Rational Approximations of Functions by Orthoprojections
   
   Mat. Zametki, 76:2 (2004),  216–225
10. Smirnov–Sobolev spaces and their embeddings
    
    Mat. Sb., 194:4 (2003),  75–84
11. New Proof of the Semmes Inequality for the Derivative of the Rational Function
    
    Mat. Zametki, 72:2 (2002),  258–264
12. Rational approximations of functions with derivative in a V. I. Smirnov space
    
    Algebra i Analiz, 13:2 (2001),  165–190
13. Norm comparison for rational functions in the Bloch space and the Carathéodory-Fejér space
    
    Algebra i Analiz, 11:4 (1999),  139–150
14. Uniform approximations of Stieltjes functions by means of an orthoprojection onto the set of rational functions
    
    Mat. Zametki, 65:3 (1999),  362–368
15. Best uniform rational approximations of Markov functions
    
    Algebra i Analiz, 7:2 (1995),  121–132
16. Bernstein type inequalities for derivatives of rational functions in $L_p$ spaces for $p<1$
    
    Mat. Sb., 186:1 (1995),  119–130
17. Uniform rational approximations and Hardy–Sobolev spaces
    
    Mat. Zametki, 56:4 (1994),  132–140
18. Generalization of the Hardy–Littlewood theorem on functions with derivatives in the space $H_1$
    
    Mat. Zametki, 52:1 (1992),  87–93
19. Estimate of the derivative of an algebraic polynomial
    
    Mat. Zametki, 47:3 (1990),  74–77
20. Best rational approximation in the complex domain
    
    Trudy Mat. Inst. Steklov., 190 (1989),  222–233
21. Direct and converse theorems of rational approximation in the spaces $L_p[-1,1]$ and $C[-1,1]$
    
    Dokl. Akad. Nauk SSSR, 293:6 (1987),  1307–1310
22. Tchebycheff rational approximation in the disk, on the circle, and on a closed interval
    
    Mat. Sb. (N.S.), 133(175):1(5) (1987),  86–102
23. Estimates of the derivatives of rational functions in $L_p[-1,1]$
    
    Mat. Zametki, 39:3 (1986),  388–394
24. Rational approximations of convex functions
    
    Mat. Zametki, 38:5 (1985),  679–690
25. Classes of analytic functions determined by best rational approximations in $H_p$
    
    Mat. Sb. (N.S.), 127(169):1(5) (1985),  3–20
26. Inequalities of Bernstein type for derivatives of rational functions, and inverse theorems of rational approximation
    
    Mat. Sb. (N.S.), 124(166):4(8) (1984),  571–588
27. Estimates of the derivative of a Cauchy-type integral with meromorphic density and their applications
    
    Mat. Zametki, 31:3 (1982),  389–402
28. Rational approximations of absolutely continuous functions with derivative in an Orlicz space
    
    Mat. Sb. (N.S.), 117(159):1 (1982),  114–130