修正的广义Baskakov算子的两种保持性质

Two kinds of preserved porperty by modified Baskakov operator

证明了修正的广义 Baskakov算子 L n* ( f ,x)能保持许多好的性质 ,主要是 :若 f ( x)属于Hω类 ,则 Ln* ( f ,x)也具有类似的性质 ;若ω( x)是连续模函数 ,则 L n* (ω,x)

It is proved that modified Baskauov operator Ln *(f,x) can preserve many good properties,for example,if f(x) belong to H ω,then L *n(f,x) has the similar property;if ω(x) is a continuous modular function,then L *n(ω,x) is the same with ω(x).