Dergiler / Gazi Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 1998 / Cilt: 11 - Sayı: 1

Genelleştirilmiş Bernstein polinomları ile sürekli fonksiyonlara yaklaşım

Approximation to continuous functions by generalized Bernstein polynomials

Mine AKTAŞ

Sayfa
41–48
DOI
—

Özet

Bu makalede, $f in C [a,b],alpha, beta in R^+, alpha

Abstract

In the present paper, using the continuity modul, we give the approximation of the generalized Bernstein polynomial$B^{alpha,beta}_n(f;x)=frac{1}{(b-a)^n}sumlimits_{k=0}^n f(a+frac{k+alpha}{n+beta}(b-a))C^k_n(b-x)^{n-k}(x-a)^k$ to a continuous function where$f in C [a,b],alpha, beta in R^+, alpha