线性缓冲算子及其凸组合

Study on the Linear Buffer Operator and Its Convex Combination

首先,通过使用传统构造缓冲算子方法,构造了一类新的弱化缓冲算子;其次,根据缓冲算子的结构,给出了线性缓冲算子的数学定义;第三,定义了线性缓冲算子的凸组合,研究了线性缓冲算子凸组合的性质,从而给出了利用凸组合构造线性缓冲算子的新方法;最后,通过实例验证了构造线性缓冲算子新方法的可行性。

Firstly,by using traditional method of establishing butter operator,a new class of weakening butter operators is established.Secondly,according to the structure of buffer operator,the mathematical definition of linear buffer operator is presented based on the class of new weakening buffer operators in the paper.Thirdly,convex of linear buffer operator is defined and nature of the convex combination of linear buffer operator is studied,and a new method of establishing linear butter operator is obtained in this paper.Lastly,an example is given to show that the new method has its feasibility.