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

共 50 条

[31] Directional derivatives of Lipschitz functions
Preiss, D
Zajícek, L
ISRAEL JOURNAL OF MATHEMATICS, 2001, 125 (1) : 1 - 27
[32] On the Rate of Approximation of Functions in Lipschitz Norms
Telyakovskii, S. A.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2011, 273 : S160 - S162
[33] On the rate of approximation of functions in Lipschitz norms
S. A. Telyakovskii
Proceedings of the Steklov Institute of Mathematics, 2011, 273 : 160 - 162
[34] Trigonometric approximation of periodic functions belonging to weighted Lipschitz class W(Lp, Ψ(t), β)
Srivastava, Shailesh Kumar
Singh, Uaday
FUNCTION SPACES IN ANALYSIS, 2015, 645 : 283 - +
[35] A note on the degree of approximation of functions belonging to certain Lipschitz class by almost Riesz means
Singh, Uaday
Rathore, Arti
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2018, 63 (03): : 371 - 379
[36] Approximation of Lipschitz functions by Δ-convex functions in Banach spaces
Boiso, MC
ISRAEL JOURNAL OF MATHEMATICS, 1998, 106 (1) : 269 - 284
[37] On the degree of approximation of functions belonging to a Lipschitz class by Hausdorff means of its fourier series
Rhoades, B. E.
Ozkoklu, Kevser
Albayrak, Inci
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (16) : 6868 - 6871
[38] Approximation of lipschitz functions by Δ-convex functions in banach spaces
Manuel Cepedello Boiso
Israel Journal of Mathematics, 1998, 106 : 269 - 284
[39] DERIVATIVES OF ADDITION THEOREMS FOR LEGENDRE FUNCTIONS
WINCH, DE
ROBERTS, PH
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1995, 37 : 212 - 234
[40] Wavelet approximation of periodic functions
Skopina, M
JOURNAL OF APPROXIMATION THEORY, 2000, 104 (02) : 302 - 329

← 1 2 3 4 5 →