Pointwise estimate for some Durrmeyer type operators
Küçük Resim Yok
Tarih
2008
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper we investigate the behavior of some Durrmeyer type operators Ln (f; x), defined as Ln (f; x) = ?01 f (t) Kn (x, t) dt, 0 ? x ? 1, where the kernel Kn (x, t) may have different values. We give an estimate of the rate of pointwise convergence of these operators on a Lebesgue point of bounded variation function f defined on the interval [0, 1]. Using analysis techniques instead of probability methods we obtain the rate of pointwise convergence of the operators in question. Here we note that this kind of study is different from the earlier studies on such type of operators and have not been investigated for Durrmeyer type operators.
Açıklama
Anahtar Kelimeler
Approximation, Bounded Variation, Durrmeyer Operators, Lebesgue Point, Rate Of Convergence
Kaynak
Proceedings of the Jangjeon Mathematical Society
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
11
Sayı
2
