新变权缓冲算子的构造方法及其内在联系

Constructing methods of new buffer operators with variable weights and their inner link

针对传统缓冲算子不能实现作用强度的微调,从而导致缓冲作用效果过强或过弱的问题:构造了几类新的变权缓冲算子,探讨了这几类变权缓冲算子的内在联系,揭示了变权强化缓冲与变权弱化缓冲的对应关系,研究了变权缓冲算子调节度与可变权重之间的关系.结果表明,变权缓冲算子对序列的调节度与可变权重同(反)方向变化,与γ取值无关,且现有算术变权缓冲算子和几何变权缓冲算子均是所构造变权缓冲算子的特例.

Traditional buffer operators can not realize fine tuning of etiect intensity, wl]lcl~ leaos to promems that the effectiveness of buffer action may be too strong or too weak. Considering this situation, several kinds of new buffer operators with variable weights are constructed in this paper, and the inner link among these operators is proposed. At the same time, the corresponding relationship between the strengthening buffer with variable weights and the weakening buffer with variable weights is revealed. The relationship between the regulation degree of buffer operator and their variable weights is defined. The results show that, the regulation degree and variable weights change as the same （opposite） direction, and have nothing to do with ~. The arithmetic buffer operators with variable weights and the geometry buffer operators with variable weights are all special cases of these constructed buffer operators with variable weights.