Rate of pointwise convergence of a new kind of gamma operators for functions of bounded variation
Yükleniyor...
Dosyalar
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper we investigate the behavior of the operators L-n(f, x), defined as Ln(f : x) = (2n +3)!x(n+3)/n!(n+2)! integral(infinity)(0) t(n)/(x + t)(2n+4)f(t)dt, x > 0, and 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, infinity). We use analysis instead of probability methods to obtain the rate of pointwise convergence. This type of study is different from the earlier studies on such a type of operator. (C) 2008 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
Rate of Convergence, Approximation, Lebesgue Point, Gamma Operators, Bounded Variation
Kaynak
Applied Mathematics Letters
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
22
Sayı
4
