4 citations · 8 across the 9 of their papers we have counts for
9 papers
On the best approximation of constants by polynomials with integer coefficients
R. M. Trigub
In this paper, exact rate of decrease of best approximations of non-integer numbers by polynomials with integer coefficients of the growing exponentials is found on a disk in compl…
Wiener algebras and trigonometric series in a coordinated fashion
E. Liflyand, R. Trigub
Let be the Wiener Banach algebra of functions representable by the Fourier integrals of Lebesgue integrable functions. It is proven in the paper that, in particula…
On approximation of functions by polynomials and by entire functions of exponential type
R. M. Trigub
A brief overview of publications in approximation theory of functions known to the author and connected with scientific publications by V.~K.~Dzyadyk (1919--1998).
On multiply monotone functions
R. M. Trigub
In this paper, the algebra of the differences of two multiply monotone functions on is studied. A sufficient condition for the function $f_0\big(|x|_{p,d…
On various moduli of smoothness and -functionals
R. M. Trigub
In this paper, exact rate of approximation of functions by linear means of Fourier series and Fourier integrals and corresponding -functionals are expressed via special moduli o…
On the Fourier transform of function of two variables which depend only on the maximum of these variables
R. M. Trigub
For functions from , sufficient and necessary conditions for the belonging of their Fourier transform…