15 citations · 22 across the 5 of their papers we have counts for
5 papers
Approximative properties of diagonal operators in Orlicz spaces
Andriy L. Shidlich, Stanislav O. Chaichenko
We obtain the exact values of some important approximative quantities (such as, the best approximation, the basis width, Kolmogorov's width and the best -term approximation) of…
On some inequalities of Chebyshev type
Andriy L. Shidlich, Stanislav O. Chaichenko
We obtain some new inequalities of Chebyshev Type.
Order estimates of the best -term orthogonal trigonometric approximations of the classes of periodic functions in the integral metrics
Andriy L. Shidlich
We obtain order estimates in the spaces of the best -term trigonometric orthogonal approximations of the classes of periodic functions, whose Fourier coef…
Approximations of certain classes of functions of several variables by greedy approximants in the integral metrics
Andriy L. Shidlich
We find the exact order estimates of the approximations of the classes of functions of several variables by greedy approximants in the integral metric. We also o…
Approximation of functions of several variables by linear methods in the space
Viktor V. Savchuk, Andriy L. Shidlich
In the spaces of functions of several variables, -periodic in each variable, we study the approximative properties of operators and $P^\vartr…