Rate of convergence of the bezier variant of an operator involving laguerre polynomials
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Dosyalar
Tarih
2018
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper, we consider the Bezier variant of an operator involving Laguerre polynomials of degree k,with 1, for bounded functions f defined on the interval [0,1]. In particular, by using the Chanturia modulus of variation, we estimate the rate of pointwise convergence of (P(n,)f)(x,t) at those points x(0,1) at which the one-sided limits f(x+),f(x-) exist. To prove our main result, we have used some methods and techniques of probability theory. Our result extends and generalizes the very recent results of very recent results of the authors to more general classes of functions. Copyright (c) 2016 John Wiley & Sons, Ltd.
Açıklama
Anahtar Kelimeler
Rate of Convergence, Laguerre Polynomials, Bezier Basis, Chanturia's Modulus of Variation
Kaynak
Mathematical Methods In The Applied Sciences
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
41
Sayı
3
