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
收藏
页数：10
相关论文
共 50 条
  • [21] DEGREE OF APPROXIMATION OF CONJUGATE OF SIGNALS (FUNCTIONS) BELONGING TO THE GENERALIZED WEIGHTED LIPSCHITZ W(L-r, xi(t)), (r >= 1) - CLASS BY (C, 1) (E, Q) MEANS OF CONJUGATE TRIGONOMETRIC FOURIER SERIES
    Mishra, V. N.
    Khan, H. H.
    Khatri, K.
    Mishra, L. N.
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 5 (04): : 40 - 53
  • [22] ON THE [B] AND [E,Q] SUMMABILITY OF A FOURIER-SERIES, ITS CONJUGATE-SERIES AND THEIR DERIVED SERIES
    CHANDRA, P
    DIKSHIT, GD
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1981, 12 (11): : 1350 - 1360
  • [23] Approximation of signals belonging to generalized Lipschitz class using ((N)over-bar, p(n), q(n))(E,s)-summability mean of Fourier series
    Pradhan, Tejaswini
    Paikray, Susanta Kumar
    Misra, Umakanta
    COGENT MATHEMATICS, 2016, 3
  • [24] 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
  • [25] 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
  • [26] Functions of the Lipschitz class and summability of Fourier series
    Tsagareishvili V.S.
    Russian Mathematics, 2017, 61 (10) : 72 - 76
  • [27] Trigonometric approximation of functions belonging to Lipschitz class by matrix (C1⋅Np) operator of conjugate series of Fourier series
    Lakshmi Narayan Mishra
    Vishnu Narayan Mishra
    Vaishali Sonavane
    Advances in Difference Equations, 2013 (1)
  • [28] Degree of Approximation of Conjugate Series of a Fourier Series by Hausdroff and Norlund Product Summability
    Sarangi, Sunita
    Paikray, S. K.
    Dash, M.
    Misra, M.
    Misra, U. K.
    COMPUTATIONAL INTELLIGENCE IN DATA MINING, VOL 3, 2015, 33
  • [29] A Study on Degree of Approximation of a Function Belonging to Weighted W(Lr, ξ(t)) Class by Product Summability of Fourier Series
    Sharma, Kusum
    Malik, S. S.
    ADVANCES IN BASIC SCIENCES (ICABS 2019), 2019, 2142
  • [30] Trigonometric Fourier Approximation of the Conjugate Series of a Function of Generalized Lipchitz Class by Product Summability
    Padhy, B. P.
    Das, P. K.
    Misra, M.
    Samanta, P.
    Misra, U. K.
    COMPUTATIONAL INTELLIGENCE IN DATA MINING, VOL 1, CIDM 2015, 2016, 410 : 181 - 190
12345