Abstract
In this paper, linear wavelet approximation of a functions f belonging to Lipξ, and Lip(ξ, p), 1 ≤ p < ∞, have been determined by using Haar scaling function and Haar wavelet series. A non-linear wavelet approximation of function belonging L2(R) and Lipα class has been obtained. The comparison of the order of linear and non-linear approximations have been studied. It is observed that a non-linear approximation error is better and sharper than linear approximation error.
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