aDepartment of Mathematics Education, National University of Tainan, 33, Sec. 2, Shu-Lin St., 70005 Tainan, Taiwan
Abstract:
In this paper, an improvement of the nearest trapezoidal approximation operator preserving the expected interval is studied, which is proposed by Grzegorzewski and Mrówka. A formula for computing the improved approximation is presented. Moreover, the nearest triangular approximation operator preserving the expected interval is also investigated.