Approximation of functions belonging to Lip(ξ(t), r) class by (N, pn)(E, q) summability of conjugate series of Fourier series

被引：12

作者：

Mishra, Vishnu Narayan ^{[1
]}

Khatri, Kejal ^{[1
]}

Mishra, Lakshmi Narayan ^{[2
]}

机构：

[1] Sardar Vallabhbhai Natl Inst Technol, Dept Math, Surat 395007, Gujarat, India

[2] Dr Ram Manohar Lohia Avadh Univ, Faizabad 224001, Uttar Pradesh, India

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

关键词：

degree of approximation; Lip(xi(t); r)-class of function; (N; p(n))(E; q) product summability; conjugate Fourier series; Lebesgue integral; CLASS LIP(ALPHA; P);

D O I：

10.1186/1029-242X-2012-296

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new theorem concerning the degree of approximation of the conjugate of a function belonging to Lip(xi(t), r) class by (N, p(n))(E, q) summability of its conjugate series of a Fourier series has been proved. Here the product of Euler (E, q) summability method and Norlund (N, p(n)) method has been taken. MSC: Primary 42B05; 42B08; 40G05

引用

页数：10

共 49 条

[21] On approximation of signals belonging to some classes by (N,pm,qm) (E,θ) (E, θ) means of conjugate series of its Fourier series
Sonker, Smita
Jindal, Rozy
JOURNAL OF ANALYSIS, 2023, 31 (01) : 501 - 518
[22] Approximation of functions belonging to the generalized Lipschitz Class by C1 . Np summability method of fourier series
Lal, Shyam
APPLIED MATHEMATICS AND COMPUTATION, 2009, 209 (02) : 346 - 350
[23] 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
[24] ON THE DEGREES OF APPROXIMATION OF FUNCTIONS BELONGING TO Lp((ω)over-tilde)β CLASS BY MATRIX MEANS OF CONJUGATE FOURIER SERIES
Kranz, R.
Lenski, W.
Szal, B.
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2012, 15 (03): : 717 - 732
[25] DEGREE OF APPROXIMATION IN THE GENERALIZED LIPSCHITZ CLASS VIA (E, q)A- PRODUCT SUMMABILITY MEANS OF FOURIER SERIES
Das, A. A.
Paikray, S. K.
Parida, P.
Misra, U. K.
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2020, 10 : 53 - 62
[26] On Approximation of Functions Belonging to Lip(alpha, r) Class and to Weighted W(L-r, xi(t)) Class by Product Means
Nigam, Hare Krishna
Sharma, Ajay
KYUNGPOOK MATHEMATICAL JOURNAL, 2010, 50 (04): : 545 - 556
[27] 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
[28] Approximation of functions belonging to L[0, infinity) by product summability means of its Fourier-Laguerre series
Khatri, Kejal
Mishra, Vishnu Narayan
COGENT MATHEMATICS, 2016, 3
[29] 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
[30] Trigonometric Approximation of the Conjugate Series of a Function of Generalized Lipchitz Class by Product Summability
Sahu, Subrata K.
Acharya, D.
Nayak, P. C.
Misra, U. K.
Advances in Mathematical Sciences: Proceedings of the National Seminar on Advances in Mathematical Sciences, 2015, 2016, 1751

← 1 2 3 4 5 →