On the rates of convergence of BBH-Kantorovich operators and their Bezier variant
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Dosyalar
Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper we consider the Bezier variant of BBH-Kantorovich operators J(n,alpha)f for functions f measurable and locally bounded on the interval [0, infinity) with alpha >= 1. By using the Chanturiya modulus of variation we estimate the rate of pointwise convergence of J(n,alpha)f(x) at those x > 0 at which the one-sided limits f(x+), f(x-) exist. The very recent result of Chen and Zeng (2009) [L. Chen, X. M. Zeng, Rate of convergence of a new type Kantorovich variant of Bleimann-Butzer-Hahn Operators, Journal of Inequalities and Applications 2009 (2009) 10 (Article ID 852897)] is extended to more general classes of functions. Crown Copyright (C) 2011 Published by Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
Rate of Convergence, BBH-Kantorovich Operator, Bezier Basis, Chanturiya's Modulus of Variation, Pth Power Variation
Kaynak
Applied Mathematics And Computation
WoS Q DeÄŸeri
Q1
Scopus Q DeÄŸeri
Q1
Cilt
218
Sayı
6
