On the linear combination of Grünwald polynomial operator

摘要

Here we work out a new polynomial operator Hn(f;x,r) through Grünwald polynomial operator (where r is an arbitrary odd natural number). The convergence order of Hn(f;x,r) is the best if f(x) ∈ C[−1,1]j, j ≤ r, its saturated order is 1nr+1.