Legendre Wavelet Approximation of Functions Having Derivatives of Lipschitz Class

被引：0
|
作者：
Lal, Shyam [1 ]
Patel, Neha [1 ]
机构：
[1] Banaras Hindu Univ, Dept Math, Inst Sci, Varanasi 221005, Uttar Pradesh, India
来源：
FILOMAT | 2021年 / 35卷 / 02期
关键词：
Legendre Wavelet; Legendre Approximation; Function of Lipschitz class; Orthonormal basis;
D O I：
10.2298/FIL2102381L
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, Legendre Wavelet approximation of functions f having first derivative f' and second derivative f '' of Lip alpha class, 0 < alpha <= 1, have been determined. These wavelet estimators are sharper, better and best possible in Wavelet Analysis. It is observed that the Legendre Wavelet estimator off whose f'' E Lip alpha is sharper than the estimator off having f' is an element of Lip alpha class.
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页码：381 / 397
页数：17
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