连续函数与p幂可和函数的Jackson算子逼近

ON THE APPROXIMATION OF JACKSON OPERATORS IN THE SPACE C_(2π) OR L_(2π)^(p)

对f∈X是(X是G_(2x)或D_(2x).1≤p< ∞)以及Jackson算子证明了如下不等式‖J.(f)-f‖x≤1+2π/3-3/(4π)+89π/24(2n^2+1)ω(f·1/n)_x,从而改进和推广了文献[1]的工作。

Let X be the space c_(2π) or L_(2π)~p(1≤ p<∞). This paper discusses the approximation of Jackson operators in the space X and obtain the following theorem, for n=1,2,…,then‖J_n(f)-f‖x≤(1+2π/3-3/4π+89π/24(2n^2+1))ω(f,1/n)x