A Note on Wavelet Approximation of Functions

THAI JOURNAL OF MATHEMATICS（2022）

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摘要

In this paper, a class Lip(alpha)((omega)) [0,1) is introduced. This class of functions is the generalization of known Lipschitz class Lip(alpha)[0, 1), 0 < alpha <= 1 of functions. Four new estimators E-N((1)) (f ), E-J((2)) (f ), E-N((3)) (f ) and E-N((4)) (f ) of functions of Lip(alpha) [0,1) and Lip(alpha)((omega)) [0,1) classes have been obtained. These estimators are new, sharper and best possible in the approximation of functions by wavelet methods.

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