Wavelet estimation of a function belonging to Lipschitz class by first kind Chebyshev wavelet method. (English) Zbl 1419.42029
Summary: In this paper, the function of Lipschitz class and Chebyshev wavelet method are studied. Four new wavelet estimations of a function \(f\) belonging to Lipschitz class by Chebyshev wavelet method are estimated. The calculated estimators are best possible in wavelet analysis.
MSC:
| 42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |
| 65T60 | Numerical methods for wavelets |
| 65L10 | Numerical solution of boundary value problems involving ordinary differential equations |
| 65L60 | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations |
| 65R20 | Numerical methods for integral equations |
