Weighted approximation by Baskakov-type operators

The uniform weighted approximation errors of Baskakov-type operators are characterized for weights of the form for γ 0 , γ ∞ ∈[−1,0]. Direct and strong converse theorems are proved in terms of the weighted K -functional.

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Bibliographische Detailangaben
Veröffentlicht in:	Acta mathematica Hungarica 2011-10, Vol.133 (1-2), p.33-57
Hauptverfasser:	Ivanov, Kamen G., Parvanov, Parvan E.
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	The uniform weighted approximation errors of Baskakov-type operators are characterized for weights of the form for γ 0 , γ ∞ ∈[−1,0]. Direct and strong converse theorems are proved in terms of the weighted K -functional.
ISSN:	0236-5294 1588-2632
DOI:	10.1007/s10474-011-0135-x