In this paper , nine new Legendre wavelet estimators of functionshaving bounded third and fourth derivatives have been obtained.Theseestimators are new and best approximation in wavelet analysis. Legendrewavelet estimator of a function f of bounded higher order derivatives isbetter and sharper than the estimator of a function f of bounded less orderderivative
AbstractThe expansion of a real square-integrable function in a Legendre series is considered. Exist...
AbstractAn nth order asymptotic expansion is produced for the L2-error in a nonorthogonal (in genera...
AbstractLet {Xn}∞0be the orthonormal system of Legendre polynomials on [−1, 1]. Forf∈C[−1, 1] letSn(...
AbstractA new wavelet family K(t) is discussed which represents a natural range of continuous pulse ...
AbstractIn this paper, we show that, under some conditions, a wavelet basis of L2(R) can be used as ...
AbstractWe describe an expansion of Legendre polynomials, analogous to the Taylor expansion, for app...
The discrete harmonic wavelet transform has been reviewed and applied towards given functions. The a...
. The accuracy of the wavelet approximation at resolution h = 2 \Gamman to a smooth function f is ...
We use the continuous Legendre multi-wavelets on the interval [0, 1)to solve the linear integro-diff...
An nth order asymptotic expansion is produced for the L2-error in a nonorthogonal (in general) wavel...
In this paper, the second order approximation of a C2-function, based on Shannon wavelet functions,...
AbstractIn this paper, we develop a framework to obtain approximate numerical solutions to ordinary ...
The paper studies an approximate multiresolution analysis for spaces generated by smooth functions w...
The associated Legendre functions are defined using the Legendre numbers. From these the associated ...
We show that the multiwavelets, introduced by Alpert in 1993, are related to type I Legendre-Angeles...
AbstractThe expansion of a real square-integrable function in a Legendre series is considered. Exist...
AbstractAn nth order asymptotic expansion is produced for the L2-error in a nonorthogonal (in genera...
AbstractLet {Xn}∞0be the orthonormal system of Legendre polynomials on [−1, 1]. Forf∈C[−1, 1] letSn(...
AbstractA new wavelet family K(t) is discussed which represents a natural range of continuous pulse ...
AbstractIn this paper, we show that, under some conditions, a wavelet basis of L2(R) can be used as ...
AbstractWe describe an expansion of Legendre polynomials, analogous to the Taylor expansion, for app...
The discrete harmonic wavelet transform has been reviewed and applied towards given functions. The a...
. The accuracy of the wavelet approximation at resolution h = 2 \Gamman to a smooth function f is ...
We use the continuous Legendre multi-wavelets on the interval [0, 1)to solve the linear integro-diff...
An nth order asymptotic expansion is produced for the L2-error in a nonorthogonal (in general) wavel...
In this paper, the second order approximation of a C2-function, based on Shannon wavelet functions,...
AbstractIn this paper, we develop a framework to obtain approximate numerical solutions to ordinary ...
The paper studies an approximate multiresolution analysis for spaces generated by smooth functions w...
The associated Legendre functions are defined using the Legendre numbers. From these the associated ...
We show that the multiwavelets, introduced by Alpert in 1993, are related to type I Legendre-Angeles...
AbstractThe expansion of a real square-integrable function in a Legendre series is considered. Exist...
AbstractAn nth order asymptotic expansion is produced for the L2-error in a nonorthogonal (in genera...
AbstractLet {Xn}∞0be the orthonormal system of Legendre polynomials on [−1, 1]. Forf∈C[−1, 1] letSn(...
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