2019
Том 71
№ 11

# Timan M. F.

Articles: 6
Article (Ukrainian)

### On the best approximations of functions defined on zero-dimensional groups

Ukr. Mat. Zh. - 2012. - 64, № 5. - pp. 719-728

We present a survey of results of the author, his postgraduates, and other mathematicians related to the problem of finding the best approximations of functions in the investigation of properties of spaces of functions defined on zero-dimensional compact commutative groups.

Article (Russian)

### On the absolute summability of Fourier series of almost-periodic besicovitch functions

Ukr. Mat. Zh. - 2009. - 61, № 9. - pp. 1267-1276

For almost-periodic Besicovitch functions whose spectrum has a limit point only at infinity, we establish criteria for the absolute Cesàro summability of their Fourier series of order greater than –1.

Brief Communications (Russian)

### On some inequalities for polynomials

Ukr. Mat. Zh. - 1998. - 50, № 9. - pp. 1289–1292

We prove the equivalence between analogs of the Paley and Nikol’skii inequalities for any orthonormal system of functions and for almost periodic polynomials with arbitrary spectrum.

Article (Russian)

### On uniform approximations of almost periodic functions by entire functions of finite degree

Ukr. Mat. Zh. - 1995. - 47, № 9. - pp. 1274–1279

We give a new proof of the well-known Bernshtein statement that, among entire functions of degree $≤ σ$ which realize the best uniform approximation (of degree $σ$) of a periodic function on $(−∞,∞)$, there is a trigonometric polynomial of degree $≤ σ$. We prove an analog of the mentioned Bernshtein statement and the Jackson theorem for uniform almost periodic functions with arbitrary spectrum.

Article (Ukrainian)

### On the absolute summability of Fourier multiple series

Ukr. Mat. Zh. - 1971. - 23, № 3. - pp. 346–361

Brief Communications (Russian)

### Remarks on the Transformations of Multiple Sequences

Ukr. Mat. Zh. - 1960. - 12, № 1. - pp. 99-100