Research interests

Approximation Theory, Fourier analysis

Diplomas

• Has left school (1957-1967), Donetsk State University (1967-1972) mathematic department, PhD student of Faculty of the higher mathematics Dnepropetrovsk Chemistry Technological Institute (1973-1975).
• Has protected the candidate thesis «Constants of Lebesgue and approximate properties of lineal means multiply series of Fourier» at 1985 on a speciality 01.01.01 – mathematic analysis (ФМ №025051 от 8.01.86). Has received a rank of senior scientific researcher (14.06.93 г. СН № 000453)

Career

• from 01.76 to 05.86 – Junior Researcher of Theory Functions Department, Institute of Applied Mathematics & Mechanics.
• from 06.86 to 04.92 – Scientific researcher of Theory Functions Department, Institute of Applied Mathematics & Mechanics.
• from 05.92 to present time – Senior Researcher of Theory Functions Department, Institute of Applied Mathematics & Mechanics.

Publications

1. Kuznetsova O.I. and Trigub R.M. Two sided estimations of the approximations of functions by Riesz and Marcinkiewicz means. Sov. Math. Dokl. 21 (1980), 374-377
    
2. Kuznetsova O.I. Integrability of a class of N-dimensional trigonometric series. Theory of Approx. of Functions, Proc. IM NASU, 31 (2000), 297-305
    
3. Kuznetsova O.I. On a class of N-dimensional trigonometric series. Math. Zametki, 63, Issue 3, (1998), 402-406
    
4. Kuznetsova O.I. On integration of a class of N-dimensional trigonometric series. Ukrain. Math. J. 52, № 6(2000), 837-840
    
5. Kuznetsova O.I. On partial sums on polyhedra of Fourier series of bounded functions. Anal. Math. 19, №4, (1993), 267-272
    
6. Kuznetsova O.I. On some properties of polynomial operators of triangular form in a space of continuous periodic functions of two variables. Sov. Math. Dokl. 16 (1975), 1080-1083 (1976)
    
7. Kuznetsova O.I. On the problem of strong summability by disks. Ukrain. Math. J. 48, № 5 (1996), 629-634
    
8. Kuznetsova O.I. Strong Carleman means of multiple trigonometric Fourier series. Ukrain. Math. J., 44, №2, (1992), 241-244
    
9. Kuznetsova O.I. Strong spherical means and the convergence in of multiple trigonometric series. Dokl. Akad. Nauk, 391, № 3 (2003), 1-3
    
10. Kuznetsova O.I. Strong spherical means and the convergence in of multiple trigonometric series. Ukr. Math. Bull., 3, № 1 (2006), 46-63
     
11. Kuznetsova O.I. Strong summability of multiple Fourier series, and Sidon tipe inequalities. Ukrain. Math. J., 50, № 12, (1998), 1630-1635
     
12. Kuznetsova O.I. Strong summability of multiple Fourier series, and Sidon-tipe inequalities. Dokl. Akad. Nauk, 364, № 5, (1999), 593-595
     
13. Kuznetsova O.I. The asymptotic behavior of Lebesgue function of two variables. Ukrain. Math. J. 47, № 2(1995), 220-226
     
14. Kuznetsova O.I. The asymptotic behavior of the Lebesgue constants for a sequence of triangular partial sums of double Fourier series. Sib. Math. J. 18 (1977), 629-636
     
15. Kuznetsova O.I. The convergence by spheres in of special trigonometric series. Proc IM NASU, 8 (2003), 70-74