A. L. Shidlich

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

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2 papers

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…

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

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