Stancu—Kantorovich算子在LM的饱和性

The L * M Saturation of the Stancu-Kantorovich Operator

讨论Ｓｔａｎｃｕ－Ｋａｎｔｏｒｏｖｉｃｈ算子在Ｏｒｌｉｃｚ空间Ｌ＊Ｍ［０，１］中的饱和性，对于Ｍ（μ）∈Δ２，ｆ（ｘ）∈Ｌ＊Ｍ［０，１］证明了：Ｋｎ，ｓ（ｆ）－ｆＭ＝ｏ（１ｎ）ｆ（ｘ）＝ｃｏｎｓｔ；Ｋｎ，ｓ（ｆ）－ｆＭ＝Ｏ（１ｎ）ｆ（ｘ）∈ＳＭ，其中ＳＭ＝｛ｆ（ｘ）：存在ｈ（ｔ）∈Ｌ＊Ｍ［０，１］使ｆ（ｘ）＝ｆ（１２）＋∫ｘ１／２１ｔ（１－ｔ）∫ｔｋｈ（ｕ）ｄｕｄｔ，这里ｋ为任意实数｝．

 * M Saturation of Stancu-Kantorovich operators are discussed and the Saturation theorem is given.