二阶可微函数的Simpson型和Fejér型积分不等式(英文)

Simpson's and Fejér's Type Integral Inequalities for Twice Differentiable Convex Functions

建立了一个加权形式的积分恒等式.利用这个恒等式,对其二阶导数的绝对值具有凸性的函数,给出了Simpson型和Fejér型积分不等式.

A weighted integral identity for convex functions is derived, from which several new weighted inequalities of Simpson＇s and Fejer＇s types are established for functions whose absolute values of derivatives are convex functions.