2019
Том 71
№ 11

# Pachulia N. L.

Articles: 8
Article (Russian)

### On the Estimation of Strong Means of Fourier Series

Ukr. Mat. Zh. - 2015. - 67, № 6. - pp. 809–819

We study problem of $(λ, φ)$ -strong summation of number series by the regular method $λ$ with power summation of the function $φ$. The accumulated results are extended to the case of Fourier expansions in trigonometric functions $f ϵ L_p, p > 1$, where $C$ is the set of $2π$-periodic continuous functions. Some results are also obtained for the estimation of strong means of the method $λ$ in $L_p, p > 1$, at the Lebesgue point $x$ of the function $f$ under certain additional conditions in the case where the function $φ$ tends to infinity as $u → ∞$ faster than the exponential function $\exp (βu) − 1, β > 0$.

Article (Russian)

### On Strong Summability of Fourier Series of Summable Functions

Ukr. Mat. Zh. - 2000. - 52, № 8. - pp. 1103-1111

In the metric of L, we obtain estimates for the generalized means of deviations of partial Fourier sums from an arbitrary summable function in terms of the corresponding means of its best approximations by trigonometric polynomials.

Article (Russian)

### Points of strong summability of fourier series

Ukr. Mat. Zh. - 1994. - 46, № 12. - pp. 1655–1664

We study strong means of deviations of partial sums of expansions of functions f in systems of functions of polynomial type.

Article (Ukrainian)

### Multiple Fourier sums on sets of (ψ, β)-differentiable functions

Ukr. Mat. Zh. - 1991. - 43, № 4. - pp. 545-555

Article (Ukrainian)

### Uniform estimates of the integral strong mean deviations of continuous functions by entire functions

Ukr. Mat. Zh. - 1991. - 43, № 2. - pp. 235-241

Article (Ukrainian)

### Uniform estimates of $(\lambda, \varphi)$-strong integral average deviations of fourier operators

Ukr. Mat. Zh. - 1990. - 42, № 10. - pp. 1434–1441

Article (Ukrainian)

### Strong summability of Fourier series of (ψ, β)-differentiable functions

Ukr. Mat. Zh. - 1989. - 41, № 6. - pp. 808-814

Article (Ukrainian)

### Behavior of the group of deviations on sets of (ψ, β)-differentiable functions

Ukr. Mat. Zh. - 1988. - 40, № 1. - pp. 101-105