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Izvestiya: Mathematics, 1999, Volume 63, Issue 3, Pages 561–582
DOI: https://doi.org/10.1070/im1999v063n03ABEH000246 (Mi im246) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the best $L_1$-approximation by algebraic polynomials to truncated powers and to classes of functions with $L_1$-bounded derivative

V. P. Motornyi, O. V. Motornaya

Dnepropetrovsk State University
English version PDF (457 kB) Citations (1)
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DOI: https://doi.org/10.1070/im1999v063n03ABEH000246
Abstract: We establish the asymptotic behaviour of the best $L_1$-approximations of the kernels $(x-a)_+^{r-1}$, $r>2$ and the corresponding classes $W_1^r$ by algebraic polynomials.
Received: 06.05.1997
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1999, Volume 63, Issue 3, Pages 147–168
DOI: https://doi.org/10.4213/im246
Bibliographic databases:
MSC: 41A50, 41A10
Language: English
Original paper language: Russian
Citation: V. P. Motornyi, O. V. Motornaya, “On the best $L_1$-approximation by algebraic polynomials to truncated powers and to classes of functions with $L_1$-bounded derivative”, Izv. RAN. Ser. Mat., 63:3 (1999), 147–168; Izv. Math., 63:3 (1999), 561–582
Citation in format AMSBIB
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\by V.~P.~Motornyi, O.~V.~Motornaya
\paper On the best $L_1$-approximation by algebraic polynomials to truncated powers and to classes of functions with $L_1$-bounded derivative
\jour Izv. RAN. Ser. Mat.
\yr 1999
\vol 63
\issue 3
\pages 147--168
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\transl
\jour Izv. Math.
\yr 1999
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\pages 561--582
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  • https://doi.org/10.1070/im1999v063n03ABEH000246
  • https://www.mathnet.ru/eng/im/v63/i3/p147
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:298
    Russian version PDF:196
    English version PDF:5
    References:51
    First page:1
     
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