三明学院学报
三明學院學報
삼명학원학보
JOURNAL OF SANMING COLLEGE
2011年
5期
8-12
,共5页
Kantorovich型算子%q-积分%q-Szász-Mirakjan-Schurer算子%加权统计逼近%收敛阶
Kantorovich型算子%q-積分%q-Szász-Mirakjan-Schurer算子%加權統計逼近%收斂階
Kantorovich형산자%q-적분%q-Szász-Mirakjan-Schurer산자%가권통계핍근%수렴계
Kantorovich type operators%q-integral%q-Szász-Mirakjan-Schurer operators%weighted statistical approximation%rate of convergence
基于q-积分的概念,研究了一类q-Szász-Mirakjan-Schurer算子的逼近性质,通过计算得到算子的各阶矩量及中心矩量,通过引入统计收敛定义得到算子的加权统计收敛定理,并通过加权光滑模研究了算子的局部逼近性质,得到了算子的局部逼近定理。
基于q-積分的概唸,研究瞭一類q-Szász-Mirakjan-Schurer算子的逼近性質,通過計算得到算子的各階矩量及中心矩量,通過引入統計收斂定義得到算子的加權統計收斂定理,併通過加權光滑模研究瞭算子的跼部逼近性質,得到瞭算子的跼部逼近定理。
기우q-적분적개념,연구료일류q-Szász-Mirakjan-Schurer산자적핍근성질,통과계산득도산자적각계구량급중심구량,통과인입통계수렴정의득도산자적가권통계수렴정리,병통과가권광활모연구료산자적국부핍근성질,득도료산자적국부핍근정리。
Based on the concept of q-integral,a Kantorovich type Szász-Mirakjan-Schurer operators was introduced in this paper.Moments and central moments of the operators was gotten through calculation and weighted statistical approximation theorem of the operators was obtained through the definition of statistical approximation.Local approximation properties were investigated by weighted modulus of smoothness and a local approximation theorem of the operators was established.
