On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials

We present a survey of results obtained for the last decade in the field of approximation of specific functions and classes of functions by algebraic polynomials in the spaces C and L 1 and approximation with regard for the location of a point on an interval.

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Datum:2000
Hauptverfasser: Motornaya, O. V., Motornyi, V. P., Моторная, О. В., Моторный, В. П.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2000
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/4399
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Motornaya, O. V.
Motornyi, V. P.
Моторная, О. В.
Моторный, В. П.
Моторная, О. В.
Моторный, В. П.
author_facet Motornaya, O. V.
Motornyi, V. P.
Моторная, О. В.
Моторный, В. П.
Моторная, О. В.
Моторный, В. П.
author_sort Motornaya, O. V.
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datestamp_date 2020-03-18T20:28:25Z
description We present a survey of results obtained for the last decade in the field of approximation of specific functions and classes of functions by algebraic polynomials in the spaces C and L 1 and approximation with regard for the location of a point on an interval.
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spelling umjimathkievua-article-43992020-03-18T20:28:25Z On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials Об асимптотически точных оценках приближения алгебраическими многочленами некоторых классов функций Motornaya, O. V. Motornyi, V. P. Моторная, О. В. Моторный, В. П. Моторная, О. В. Моторный, В. П. We present a survey of results obtained for the last decade in the field of approximation of specific functions and classes of functions by algebraic polynomials in the spaces C and L 1 and approximation with regard for the location of a point on an interval. Наведено огляд результатів, отриманих за останнє десятиріччя, про наближення алгебраїчними многочленами деяких функцій і класів функцій у просторах $C$ та $L_1$, а також про наближення з урахуванням положення точки на відрізку. Institute of Mathematics, NAS of Ukraine 2000-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4399 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 1 (2000); 85-99 Український математичний журнал; Том 52 № 1 (2000); 85-99 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4399/5502 https://umj.imath.kiev.ua/index.php/umj/article/view/4399/5503 Copyright (c) 2000 Motornaya O. V.; Motornyi V. P.
spellingShingle Motornaya, O. V.
Motornyi, V. P.
Моторная, О. В.
Моторный, В. П.
Моторная, О. В.
Моторный, В. П.
On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials
title On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials
title_alt Об асимптотически точных оценках приближения алгебраическими многочленами некоторых классов функций
title_full On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials
title_fullStr On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials
title_full_unstemmed On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials
title_short On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials
title_sort on asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials
url https://umj.imath.kiev.ua/index.php/umj/article/view/4399
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