Legendre Wavelet expansion of functions and their Approximations

Indra Bhan, Lal Shyam, Lal Shyam

Abstract


In this paper , nine new Legendre wavelet estimators of functions
having bounded third and fourth derivatives have been obtained.These
estimators are new and best approximation in wavelet analysis. Legendre
wavelet estimator of a function f of bounded higher order derivatives is
better and sharper than the estimator of a function f of bounded less order
derivative.


Keywords


Legendre Wavelet, Legendre Wavelet Expansion, Orthonormal basis,Legendre Wavelet Approximation .

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References


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DOI: http://dx.doi.org/10.23755/rm.v37i0.491

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