Lp-INVERSE THEOREM FOR MODIFIED BETA OPERATORS
نویسندگان
چکیده
and B(v+1,n) being the beta function (see, e.g., [3]). It is easily verified that the operators Bn are linear positive operators. Also, Bn(1,x) = 1. It turns out that the order of approximation for the operators (1.1) is at best O(n−1) howsoever smooth the function may be. With the aim of improving the order of approximation, we have to slack the positive condition of these operators for which we may take appropriate linear combinations of the operators (1.1). Now we consider the linear combinations Bn(f ,k,x) of the operators Bdjn(f ,x) as Bn(f ,k,x)= k ∑ j=0 C(j,k)Bdjn(f ,x), (1.3)
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تاریخ انتشار 2002