Study on the Linear Buffer Operator and Its Convex Combination

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.