用Beta算子逼近具有第1类间断点的函数

On Approximation by Beta Operators for Functions Having Discontinuity Points of the First Kind

研究了 Beta算子关于具有第 1类不连续点函数的逼近 ,利用点态连续模 ωx(f,t)和正规算子方法 ,得到了 Beta算子对具有第 1类不连续点函数的逼近结果 ,从而推广了 Beta算子对有界变差函数的逼近 .

Investigate the degree of approximation by Beta operators for functions which have only discontinuity points of the first kind on (0,∞),use the pointwise modulus of continuity ω x(f,t) and normal operator technique,obtain the approximation result on functions which have only discontinuity points of the first kind by Beta operators,extend the result on functions of bounded variation.