摘要
设K.是Jackson算子J_n的逼近度。本文应用[2]中K_2的积分表示,证明{K_(2N-1)}渐减到K=3/πintegral from n=0 to ∞[4/πt](sint/t)~4dt并且对所有的u,有K_s≥K_2=2(1-2/π3^(1/2),以及inf sup||J_n(f)-f||_e/ω(f,π/n+1)=K_2=2(1-2/π3^(1/2))
Let K. be the degree of approximation for the Jackson operator J. We apply the integral expres-sion of K. in[2], prove that {K_(2N-1)}is decreasingly to K=3/π integral from n=0 to ∞ [4/π t] (sint/t)~4 dtAlso all K_(?)≥K_2=(1- 2/3^(1/π)),and then inf sup ||J_a(f)-f||_c/ω(f_(?)π/(?)+1)_c=K_2=2(1-2/3^(1/π))
出处
《新疆大学学报（自然科学版）》
CAS
1992年第2期39-45,共7页
Journal of Xinjiang University(Natural Science Edition)
关键词
Jackson算子
连续模
逼近度
Jackson operater
modulus of continuity
degree of approximation
