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
  • [1] Approximation of functions belonging to Lip(ξ(t),r) class by (N,pn)(E,q) summability of conjugate series of Fourier series
    Vishnu Narayan Mishra
    Kejal Khatri
    Lakshmi Narayan Mishra
    Journal of Inequalities and Applications, 2012
  • [2] DEGREE OF APPROXIMATION BY PRODUCT (N, pn, qn)(E, q) SUMMABILITY OF FOURIER SERIES OF A SIGNAL BELONGING TO Lip(α, r)-CLASS
    Parida, P.
    Paikray, S. K.
    Dash, M.
    Misra, U. K.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2019, 9 (04): : 901 - 908
  • [3] APPROXIMATION OF SIGNALS (FUNCTIONS) BELONGING TO Lip(xi(t), r)-CLASS BY C-1. N-p SUMMABILITY METHOD OF CONJUGATE SERIES OF ITS FOURIER SERIES
    Mishra, Vishnu Narayan
    Khan, Huzoor H.
    Khan, Idrees A.
    Mishra, Lakshmi Narayan
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 5 (03): : 8 - +
  • [4] Degree of approximation of the conjugate of signals (functions) belonging to Lip(α,r)-class by (C,1)(E,q) means of conjugate trigonometric Fourier series
    Smita Sonker
    Uaday Singh
    Journal of Inequalities and Applications, 2012
  • [5] Degree of approximation of the conjugate of signals (functions) belonging to Lip(α, r)-class by (C, 1)(E, q) means of conjugate trigonometric Fourier series
    Sonker, Smita
    Singh, Uaday
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [6] Approximation of Conjugate of Functions belonging to Lip alpha Class and W(L-r, xi(t)) Class by Product Means of Conjugate Series of Fourier Series
    Nigam, H. K.
    Sharma, Kusum
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2011, 4 (03): : 276 - 286
  • [7] A Study on Approximation of Conjugate of Functions Belonging to Lipschitz Class and Generalized Lipschitz Class by Product Summability Means of Conjugate Series of Fourier Series
    Nigam, Hare Krishna
    THAI JOURNAL OF MATHEMATICS, 2012, 10 (02): : 275 - 287
  • [8] APPROXIMATION OF FUNCTIONS BELONGING TO THE GENERALIZED LIPSCHITZ CLASS BY C-1 . N-p SUMMABILITY METHOD OF CONJUGATE SERIES OF FOURIER SERIES
    Mishra, Vishnu Narayan
    Khatri, Kejal
    Mishra, Lakshmi Narayan
    MATEMATICKI VESNIK, 2014, 66 (02): : 155 - 164
  • [9] Trigonometric approximation of functions belonging to Lipschitz class by matrix () operator of conjugate series of Fourier series
    Mishra, Lakshmi Narayan
    Mishra, Vishnu Narayan
    Sonavane, Vaishali
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [10] ABSOLUTE (C,1).(N,PN) SUMMABILITY OF A FOURIER SERIES AND ITS CONJUGATE SERIES
    DIKSHIT, HP
    PACIFIC JOURNAL OF MATHEMATICS, 1968, 26 (02) : 245 - &
12345