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关于МамелоВ算子与无界函数逼近
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作者 郑成德 《辽宁工学院学报》 2003年第1期69-70,共2页
利用扩展乘数法建立了МамелоВ算子逼近全实轴上任意无界连续函数的收敛性定理,给出了具有一般性的结论,从而推广了前人的若干重要定理。
关键词 线性正算子 无界函数逼近 一致收敛 扩展乘数法 МамелоВ算子 收敛性定理 BANACH空间
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On the Method of Multiplier-enlargement and Approximation of Unbounded Continuous Functions 被引量:1
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作者 郑成德 王仁宏 《Northeastern Mathematical Journal》 CSCD 2001年第2期231-235,共5页
By combining the classical appropriate functions “1, x, x 2” with the method of multiplier enlargement, this paper establishes a theorem to approximate any unbounded continuous functions with modified positive... By combining the classical appropriate functions “1, x, x 2” with the method of multiplier enlargement, this paper establishes a theorem to approximate any unbounded continuous functions with modified positive linear operators. As an example, Hermite Fejér interpolation polynomial operators are analysed and studied, and a general conclusion is obtained. 展开更多
关键词 positive linear operator approximation of unbounded continuous function method of multiplier enlargement Hermite Fejér interpolation polynomial operator
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