A. L. Shidlich

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20122014

most citedApproximation of functions of several variables by linear methods in the space

S^{p}

15 citations · 22 across the 5 of their papers we have counts for

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math.CA2013

Order estimates of the best $n$ -term orthogonal trigonometric approximations of the classes $F_{q}^{ψ}$ of periodic functions in the integral metrics

Andriy L. Shidlich

We obtain order estimates in the spaces $L_{p}$ of the best $n$ -term trigonometric orthogonal approximations of the classes $F_{q}^{ψ}$ of periodic functions, whose Fourier coef…

math.CA2013★ 1 cited

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 $F_{q, r}^{ψ}$ of functions of several variables by greedy approximants in the integral metric. We also o…

math.CA2012★ 15 cited

Approximation of functions of several variables by linear methods in the space $S^{p}$

Viktor V. Savchuk, Andriy L. Shidlich

In the spaces $S^{p}$ of functions of several variables, $2 π$ -periodic in each variable, we study the approximative properties of operators $A_{ϱ, r}^{△}$ and $P^\vartr…

Order estimates of the best n-term orthogonal trigonometric approximations of the classes Fqψ​ of periodic functions in the integral metrics

Approximations of certain classes of functions of several variables by greedy approximants in the integral metrics

Approximation of functions of several variables by linear methods in the space Sp

Order estimates of the best $n$ -term orthogonal trigonometric approximations of the classes $F_{q}^{ψ}$ of periodic functions in the integral metrics

Approximation of functions of several variables by linear methods in the space $S^{p}$