Degree of approximation of functions belonging to Lip(omega(t), p)-class by linear operators based on Fourier series

被引：0

作者：

Saini, Soshal ^{[1
]}

Singh, Uaday ^{[1
]}

机构：

[1] IIT Roorkee, Dept Math, Roorkee 247667, Uttarakhand, India

来源：

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2016年 / 9卷 / 04期

关键词：

Degree of approximation; Lip(omega(t); p)-class; Conjugate Fourier series;

D O I：

10.1007/s40574-016-0064-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Fourier series and operators based on it are of great importance in both theoretical and applied mathematics because they can be considered as representation of a function or signal. In this paper, we estimate the degree of approximation of f is an element of Lip(omega(t), p)-class and its conjugate (f) over tilde, by matrix means of their trigonometric Fourier series by relaxing the conditions on omega(t) imposed by the earlier researchers. We also discuss some results which are analogous to our results.

引用

页码：495 / 504

页数：10

共 50 条

[31] On the degree of approximation of continuous functions by a specific transform of partial sums of their Fourier series
Krasniqi, Xhevat Z.
ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2021, 25 (01): : 5 - 19
[32] On the Degree of Approximation of Continuous Functions by Means of Fourier Series in the H?lder Metric
Xhevat Z.Krasniqi
Bogdan Szal
AnalysisinTheoryandApplications, 2019, 35 (04) : 392 - 404
[33] 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
[34] Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions
Heiner Gonska
Radu Păltănea
Czechoslovak Mathematical Journal, 2010, 60 : 783 - 799
[35] SIMULTANEOUS APPROXIMATION BY A CLASS OF BERNSTEIN-DURRMEYER OPERATORS PRESERVING LINEAR FUNCTIONS
Gonska, Heiner
Paltanea, Radu
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2010, 60 (03) : 783 - 799
[36] Approximation of signals (functions) belonging to certain Lipschitz classes by almost Riesz means of its Fourier series
Deepmala
Piscoran, Laurian-Ioan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
[37] Approximation of signals (functions) belonging to certain Lipschitz classes by almost Riesz means of its Fourier series
Laurian-Ioan Deepmala
Journal of Inequalities and Applications, 2016
[38] 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 - +
[39] On the trigonometric approximation of signals belonging to generalized weighted Lipschitz W(Lr, ξ(t))(r ≥ 1)-class by matrix (C1 • Np) operator of conjugate series of its Fourier series
Mishra, Lakshmi Narayan
Mishra, Vishnu Narayan
Khatri, Kejal
Deepmala
APPLIED MATHEMATICS AND COMPUTATION, 2014, 237 : 252 - 263
[40] APPROXIMATION OF FUNCTION f(x,y) BELONGING TO GENERALIZED LIPSCHITZ CLASS BY (N, p(m), q(n)) METHOD OF THE DOUBLE FOURIER SERIES
Lal, Shyam
Mishra, Abhishek
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 7 (02): : 28 - 36

← 1 2 3 4 5 →