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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 1977, Volume 22, Issue 3, Pages 357–370 (Mi mz8056)

Best-possible one-sided approximations in the classes $W_\alpha^rV$ ($r>-1$) by trigonometric polynomials in the metric of $L_1$

V. G. Doronin, A. A. Ligun

Dneprodzerzhinsk Industrial Institute

Abstract: The quantities $\sup\limits_{f\in W_\alpha^rV}\Hat{\Hat E}_n(f)_1$ ($r>-1$, $-\infty<\alpha<\infty$, $n=1,2…)$ are calculated, where $\Hat{\Hat E}_n(f)_1$ is the best approximation from above of the function $f$ by trigonometric polynomials of order $\le n-1$ in the metric of $L_1$.

Full text: PDF file (823 kB)

English version:
Mathematical Notes, 1977, 22:3, 688–696

Bibliographic databases:

UDC: 517.5

Citation: V. G. Doronin, A. A. Ligun, “Best-possible one-sided approximations in the classes $W_\alpha^rV$ ($r>-1$) by trigonometric polynomials in the metric of $L_1$”, Mat. Zametki, 22:3 (1977), 357–370; Math. Notes, 22:3 (1977), 688–696

Citation in format AMSBIB
\Bibitem{DorLig77}
\by V.~G.~Doronin, A.~A.~Ligun
\paper Best-possible one-sided approximations in the classes $W_\alpha^rV$ ($r>-1$) by trigonometric polynomials in the metric of $L_1$
\jour Mat. Zametki
\yr 1977
\vol 22
\issue 3
\pages 357--370
\mathnet{http://mi.mathnet.ru/mz8056}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=473674}
\zmath{https://zbmath.org/?q=an:0365.42002}
\transl
\jour Math. Notes
\yr 1977
\vol 22
\issue 3
\pages 688--696
\crossref{https://doi.org/10.1007/BF02412496}