4 citations · 5 across the 4 of their papers we have counts for
4 papers
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…
Almost everywhere summability of Fourier series with indicating the set of convergence
R. M. Trigub
The following problem is studied in this paper: Which multipliers ensure the convergence, as , of the linear means of the Fourier series of functions $f…
On absolute convergence of Fourier integrals
E. Liflyand, R. Trigub
New sufficient conditions for representation of a function via the absolutely convergent Fourier integral are obtained in the paper. In the main result, Theorem 1.1, this is contro…