Approximations of entire functions in locally global norms

The purpose of this paper is to evaluate the error of the approximation of an entire function by some discrete operators in locally global quasi-norms (Lð, p-space), we intend to establish new theorems concerning that Jackson polynomial and Valee-Poussin operator remain within the same bounds as bou...

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Veröffentlicht in:Ibn Al-Haitham Journal for Pure and Applied Sciences 2011, Vol.24 (3)
Hauptverfasser: Jasim, Sahib Kahit, Muhammad, Nadiyah Jasim
Format: Artikel
Sprache:ara ; eng
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Zusammenfassung:The purpose of this paper is to evaluate the error of the approximation of an entire function by some discrete operators in locally global quasi-norms (Lð, p-space), we intend to establish new theorems concerning that Jackson polynomial and Valee-Poussin operator remain within the same bounds as bounded and periodic entire function in locally global norms (Lð, p), (0 < p ≤ 1). الغرض من هذا البحث هو حساب مقدار لتقريب الدوال الداخلية بواساطة بعض المؤثرات المتقطعة في الفضاءات شبه المحلية باستعمال الوسيط JK(, □(1/n))P.
ISSN:1609-4042
2521-3407