Rate of convergence of the bezier variant of an operator involving laguerre polynomials

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Tarih

2018

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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

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