Genelleştirilmiş Bernstein polinomları ile sürekli fonksiyonlara yaklaşım

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

Approximation to continuous functions by generalized Bernstein polynomials

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

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