插值三角多项式在Orlicz空间逼近的渐进等式

On the Approximation of Interpolating Trigonometric Polynomials in Orlicz Space

对于具有等距分布插值结点的三角多项式,借助广义的Minkowski不等式在Orlicz空间内建立了由三角多项式逼近的渐近等式.并对于Orlicz空间内不同的函数类给出不同的结果.

For triangular polynomials with equidistantly distributed interpolation nodes,this paper uses generalized Minkowski’s inequality to establish the asymptotic equation by approximating the triangular polynomial in the Orlicz space.Different function classes in the Orlicz space are given different the result.