Babenko Alexander Grigorjevich

Publications in Math-Net.Ru

1. On the International S. B. Stechkin's Workshop-Conference on Function Theory Dedicated to the 80th Anniversary of Professor V. V. Arestov
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 29:4 (2023),  292–295
2. On the Norms of Boman–Shapiro Difference Operators
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 26:4 (2020),  64–75
3. On constants in the Jackson–Stechkin theorem in the case of approximation by algebraic polynomials
   
   Trudy Mat. Inst. Steklova, 303 (2018),  26–38
4. Modified Bernstein function and a uniform approximation of some rational fractions by polynomials
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 23:3 (2017),  43–57
5. One-sided integral approximations of the generalized Poisson kernel by trigonometric polynomials
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016),  53–63
6. On an extremal problem for polynomials with fixed mean value
   
   Ural Math. J., 2:1 (2016),  3–8
7. Estimates for mean-square norms of functions with lacunary Fourier series
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015),  54–66
8. Weighted one-sided approximation of characteristic functions of intervals by polynomials on a closed interval
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015),  46–53
9. Jackson's exact inequality with a special module of continuity
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012),  51–67
10. One-sided approximation in $L$ of the characteristic function of an interval by trigonometric polynomials
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:1 (2012),  82–95
11. On one of Geronimus's results
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  54–64
12. Integral approximation of the characteristic function of an interval and the Jackson inequality in $C(\mathbb T)$
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 15:1 (2009),  59–65
13. Integral approximation of the characteristic function of an interval by trigonometric polynomials
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 14:3 (2008),  19–37
14. On the Jackson–Stechkin inequality for the best $L^2$-approximations of functions by trigonometric polynomials
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 7:1 (2001),  30–46
15. Estimates of the maximal value of angular code distance for 24 and 25 points on the unit sphere in $\mathbb R^4$
    
    Mat. Zametki, 68:4 (2000),  483–503
16. The Jackson–Stechkin inequality in $L^2$ with a trigonometric modulus of continuity
    
    Mat. Zametki, 65:6 (1999),  928–932
17. An exact Jackson–Stechkin inequality for $L^2$-approximation on the interval with the Jacobi weight and on projective spaces
    
    Izv. RAN. Ser. Mat., 62:6 (1998),  27–52
18. Exact Jackson–Stechkin inequality in the space $L^2(\mathbb R^m)$
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 5 (1998),  183–198
19. On Delsarte Scheme of Estimating the Contact Numbers
    
    Trudy Mat. Inst. Steklova, 219 (1997),  44–73
20. Sharp Jackson–Stechkin inequality in $L^2$ for multidimensional spheres
    
    Mat. Zametki, 60:3 (1996),  333–355
21. Weak-type inequalities for trigonometric polynomials
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 2 (1992),  34–41
22. Jackson's inequality for mean-square approximations of periodic functions by trigonometric polynomials on a uniform grid
    
    Mat. Zametki, 43:4 (1988),  460–473
23. A sharp constant in the Jackson inequality in $L^2$ in the case of a small argument of the modulus of continuity
    
    Trudy Mat. Inst. Steklov., 180 (1987),  32–33
24. The exact constant in the Jackson inequality in $L^2$
    
    Mat. Zametki, 39:5 (1986),  651–664
25. An extremal problem for polynomials
    
    Mat. Zametki, 35:3 (1984),  349–356


26. On S. B. Stechkin's International Workshop-Conference on Function Theory in Memory of Corresponding Member of RAS Y. N. Subbotin and Professor S. A. Telyakovskii
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022),  277–285
27. Yurii Nikolaevich Subbotin (A Tribute to His Memory)
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022),  9–16
28. International S.B. Stechkin's Workshop-Conference on Function Theory dedicated to the 85th anniversary of Yu.N. Subbotin and N.I. Chernykh
    
    Sib. Èlektron. Mat. Izv., 18:2 (2021),  93–108
29. On the 75th birthday of professor Vitalii Vladimirovich Arestov
    
    Ural Math. J., 4:2 (2018),  3–5