Timan M. F.
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.
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.
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.
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.
Ukr. Mat. Zh. - 1971. - 23, № 3. - pp. 346–361
Ukr. Mat. Zh. - 1960. - 12, № 1. - pp. 99-100