id: 05630794
dt: j
an: 05630794
au: Liu, Ying; Xu, Guiqiao
ti: The rate of weighted $L_p$ convergence of a kind of quasi-Grünwald
    interpolatory operators.
so: Pure Appl. Math. 24, No. 4, 724-729 (2008).
py: 2008
pu: Northwest University, Department of Mathematics, Xian
la: ZH
cc: 
ut: Chebyshev polynomials; quasi-Grünwald interpolatory polynomials; weighted
    $L_p$ convergence
ci: 
li: 
ab: Summary: This paper obtains an upper bound for the rate of weighted $L_p$
    convergence of a kind of quasi-Grünwald interpolatory polynomials
    based on the zeros of Chebyshev polynomials of the second kind and this
    bound is shown to be exact in the sense of weak asymptotic order. The
    result shows that the sequence of quasi-Grünwald interpolation
    operators is convergent in the sense of weighted $L_p$ norm.
rv: