Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4608730 | Journal of Complexity | 2012 | 15 Pages |
Abstract
The sharp Jackson inequality between the best approximation of f∈L2([0,1],x2v+1)f∈L2([0,1],x2v+1) by a subspace LnLn—which is the linear hull of a finite orthogonal system of the functions constructed by the Bessel function of order vv of the first kind and its zeros—of L2([0,1],x2v+1)L2([0,1],x2v+1) and the generalized continuous modulus of order α>0α>0 of the generalized derivative of ff defined by a multiplier for some case with t>0t>0 is established. Moreover, the exact values of the nn-widths of the function classes S(α,λ,Ψ)S(α,λ,Ψ) and S(α,λ)S(α,λ) in the space L2([0,1],x2v+1)L2([0,1],x2v+1) are obtained.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jian Li, Yong-ping Liu, Chun-Mei Su,