Научные интересы

теория аппроксимации, анализ Фурье

Дипломы

Защитила кандидатскую диссертацию в 1985 году на тему «Константы Лебега и аппроксимативные свойства линейных средних кратных рядов Фурье» по специальности 01.01.01 – математический анализ (ФМ №025051 от 8.01.86). Получила звание старшего научного сотрудника (14.06.93 г. СН № 000453).

Карьера

• С 01.76 по 05.86 – младший научный сотрудник отдела теории функций ИПММ НАН Украины.
• С 06.86 по 04.92 – научный сотрудник отдела теории функций ИПММ НАН Украины.
• С 05.92 – старший научный сотрудник отдела теории функций ИПММ НАН Украины.

Публикации

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