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.

引用

页码：381 / 397

页数：17

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