Trigub Roald Mikhailovich

Publications in Math-Net.Ru

1. Rogosinsky–Bernstein Polynomial Method of Summation of Trigonometric Fourier Series
   
   Mat. Zametki, 111:4 (2022),  592–605
2. On Fourier Series on the Torus and Fourier Transforms
   
   Mat. Zametki, 110:5 (2021),  766–772
3. Asymptotics of approximation of continuous periodic functions by linear means of their Fourier series
   
   Izv. RAN. Ser. Mat., 84:3 (2020),  185–202
4. Chebyshev Polynomials and Integer Coefficients
   
   Mat. Zametki, 105:2 (2019),  302–312
5. The Fourier transform of bivariate functions that depend only on the maximum of the absolute values of their variables
   
   Mat. Sb., 209:5 (2018),  166–186
6. Letter to the Editors
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 24:4 (2018),  296
7. On multiply monotone functions.
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 23:3 (2017),  257–271
8. Almost Everywhere Summability of Fourier Series with Indication of the Set of Convergence
   
   Mat. Zametki, 100:1 (2016),  163–179
9. Summability of trigonometric Fourier series at $d$-points and a generalization of the Abel–Poisson method
   
   Izv. RAN. Ser. Mat., 79:4 (2015),  205–224
10. Generalization of the Abel–Poisson Method for Summations of Fourier Trigonometric Series
    
    Mat. Zametki, 96:3 (2014),  473–475
11. The exact order of approximation to periodic functions by Bernstein-Stechkin polynomials
    
    Mat. Sb., 204:12 (2013),  127–146
12. On the representation of a function as an absolutely convergent Fourier integral
    
    Trudy Mat. Inst. Steklova, 269 (2010),  153–166
13. Pointwise approximation of periodic functions by trigonometric polynomials with Hermitian interpolation
    
    Izv. RAN. Ser. Mat., 73:4 (2009),  49–76
14. Comparison of Linear Differential Operators
    
    Mat. Zametki, 82:3 (2007),  426–440
15. Approximation of functions by polynomials with Hermitian interpolation and restrictions on the coefficients
    
    Izv. RAN. Ser. Mat., 67:1 (2003),  199–221
16. A Lower Bound for the $L_1$-norm of Fourier Series of Polynomial Type
    
    Mat. Zametki, 73:6 (2003),  951–953
17. Compactly supported positive definite radial functions of polynomial kind and maximal smoothness
    
    Mat. Fiz. Anal. Geom., 9:3 (2002),  394–400
18. Positive-definite splines of special form
    
    Mat. Sb., 193:12 (2002),  41–68
19. Approximation of Smooth Functions and Constants by Polynomials with Integer and Natural Coefficients
    
    Mat. Zametki, 70:1 (2001),  123–136
20. A generalization of the Euler–Maclaurin formula
    
    Mat. Zametki, 61:2 (1997),  312–316
21. Multipliers in the Hardy spaces $H_p(D^m)$ with $p\in (0,1]$ and approximation properties of summability methods for power series
    
    Mat. Sb., 188:4 (1997),  145–160
22. Multipliers in the Hardy spaces $H_p(D^m)$ for $p\in(0,1]$ and approximation properties of methods for the summation of power series
    
    Dokl. Akad. Nauk, 335:6 (1994),  697–699
23. Direct theorems on approximation of smooth functions by algebraic polynomials on a segment
    
    Mat. Zametki, 54:6 (1993),  113–121
24. Multipliers of Fourier series and approximation of functions by polynomials in the spaces $C$ and $L$
    
    Dokl. Akad. Nauk SSSR, 306:2 (1989),  292–296
25. Criterium Based on the Characteristic Function and the Polya-Type Sign for Radial Functions in Several Variables
    
    Teor. Veroyatnost. i Primenen., 34:4 (1989),  805–810
26. On the comparison principle for Fourier expansions and existence subspaces in the integral metric
    
    Trudy Mat. Inst. Steklov., 180 (1987),  219–220
27. Two-sided estimates of the approximation of functions by Riesz and Marcinkiewicz means
    
    Dokl. Akad. Nauk SSSR, 251:1 (1980),  34–36
28. Absolute convergence of Fourier integrals, summability of Fourier series, and polynomial approximation of functions on the torus
    
    Izv. Akad. Nauk SSSR Ser. Mat., 44:6 (1980),  1378–1409
29. Summability of multiple Fourier series and the approximation of functions on the torus by polynomials
    
    Dokl. Akad. Nauk SSSR, 240:2 (1978),  276–279
30. The approximation of functions by polynomials with special coefficients
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 1,  93–99
31. On integral norms for polynomials
    
    Mat. Sb. (N.S.), 101(143):3(11) (1976),  315–333
32. A relation between summability and absolute convergence of Fourier series and transforms
    
    Dokl. Akad. Nauk SSSR, 217:1 (1974),  34–37
33. On a relationship in the theory of Fourier series
    
    Mat. Zametki, 15:5 (1974),  679–682
34. Linear methods of Fourier series summability and the moduli of continuity of various orders
    
    Sibirsk. Mat. Zh., 12:6 (1971),  1416–1421
35. Linear summation methods and the absolute convergence of Fourier series
    
    Izv. Akad. Nauk SSSR Ser. Mat., 32:1 (1968),  24–49
36. Remarks on Fourier series
    
    Mat. Zametki, 3:5 (1968),  597–603
37. The constructive characteristics of certain classes of functions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 29:3 (1965),  615–630
38. Approximation of functions by polynomials with integer coefficients
    
    Izv. Akad. Nauk SSSR Ser. Mat., 26:2 (1962),  261–280
39. Approximation of functions by polynomials with integral coefficients
    
    Dokl. Akad. Nauk SSSR, 140:4 (1961),  773–775
40. Approximation of functions with a given modulus of smoothness on the exterior of a segment and on a half-axis
    
    Dokl. Akad. Nauk SSSR, 132:2 (1960),  303–306


41. Vladimir Ivanovich Belyi (obituary)
    
    Uspekhi Mat. Nauk, 53:6(324) (1998),  231–232