Baskakov算子的点态正逆估计

Pointwise direct and converse estimates for Baskakov operators

对于定义在 [0 ,∞ ]上的 Baskakov算子 Vn(f ,x) =∑∞k=0f kn Vn,k(x) ,此处 Vn,k(x)≡n +k -1k xk(1 +x) - n- k,本文给出了

For \$f∈C\, \%Let Baskakov operators\% V\-n(f,x)=∑∞k=0fknV\-\{n,k\}(x), \%where\% V\-\{n,k\}(x)≡n+k-1kx\+k(1+x)\+\{-n-k\},\$ in this paper we give a new pointwise direct and converse estimates for Baskakov operators.