Approximation of Certain Classes of Singular Integrals by Algebraic Polynomials

We study the problem of pointwise approximation by algebraic polynomials for classes of functions that are singular integrals of bounded functions. We obtain asymptotically exact estimates of approximations.

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Datum:2001
Hauptverfasser: Motornyi, V. P., Моторный, В. П.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2001
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/4256
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:We study the problem of pointwise approximation by algebraic polynomials for classes of functions that are singular integrals of bounded functions. We obtain asymptotically exact estimates of approximations.