摘要
本文考虑了Bernstein-Kontorovitch多项式Kn(f;x)和Bern-stein-Sikkema多项式Sn(f;x),主要证明了当f∈Lip?α时,K_n(f;x)∈LiP?α和Sn(f;x)∈LiP?α,(0<α≤1).这表明[1]所得结果为我们结果的一个特例.
In this paper, we considered Bernstein-Kont-orovitch polvnomial Kn(f;x) and Bernstein-Sikkema PolynomialSn(f;x). We have mainlv proved the following results: if f∈LiP▲α, then Kn(f; x) ∈LiP▲α and Sn(f;x) ∈L?P∈▲a(0<α<1). This shows[1]' result is a special case of ours.
