DEGREE OF APPROXIMATION OF FUNCTION BELONGING TO WEIGHTED (L_r,ξ(t)) CLASS BY (E,q)(N,P_n~γ)-SUMMABILITY MEANS OF IT'S CONJUGATE FOURIER SERIES

ADITYA KUMAR RAGHUVANSHI

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DEGREE OF APPROXIMATION OF FUNCTION BELONGING TO WEIGHTED (L_r,ξ(t)) CLASS BY (E,q)(N,P_n~γ)-SUMMABILITY MEANS OF IT'S CONJUGATE FOURIER SERIES

机译：（共轭傅立叶级数的（E，q）（N，P_n〜γ）-加权平均值对加权（L_r，ξ（t））类的泛函逼近度

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In this research paper, we have proved a theorem on degree of approximation of a function belonging to weighted Lipischitz class by product summability means of it's conjugate Fourier series.

机译：在本研究中，我们证明了通过共轭傅立叶级数的乘积可积性，加权的Lipischitz类函数的逼近度定理。

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来源
《Acta Ciencia Indica》 |2015年第2期|95-104|共10页
作者
ADITYA KUMAR RAGHUVANSHI;
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作者单位

Department of Mathematics, IFTM University, Moradabad-244 001 (U.P.), India;

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正文语种 eng
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关键词
(E, q) summability means; (N,P_n~γ) summability means; product summability means; Lipischitz class; Degree of approximation; Fourier series and Conjugate Fourier series;

机译：（E;q）可加性是指;（N;P_n〜γ）可加性产品可总结性手段;Lipischitz班;近似度;傅里叶级数和共轭傅里叶级数;

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1. On approximation of conjugate of signals (functions) belonging to the generalized weighted W(L_r,xi(t)),(r geq 1)- class by product summability means of conjugate series of Fourier series [J] . V. Narayan Mishra, H. H. Khan, K. Khatri, International journal of mathematical analysis . 2012,第33a36期

机译：利用傅立叶级数共轭级数的乘积可积性逼近属于广义加权W（L_r， xi（t）），（r geq 1）-类的信号（函数）的共轭
2. L r -Approximation of signals (functions) belonging to weighted W ( L r , ξ ( t ) ) -class by C 1 ? N p summability method of conjugate series of its Fourier series [J] . Vishnu Narayan Mishra, Vaishali Sonavane, Lakshmi Narayan Mishra Journal of inequalities and applications . 2013,第1期

机译：L r-通过C 1近似属于加权W（L r，ξ（t））类的信号（函数）。傅里叶级数共轭级数的N p可加性方法
3. L r -Approximation of signals (functions) belonging to weighted W ( L r , ξ ( t ) ) -class by C 1 ? N p summability method of conjugate series of its Fourier series [J] . Vishnu Narayan Mishra, Vaishali Sonavane, Lakshmi Narayan Mishra Journal of inequalities and applications . 2013,第1期

机译：L r-通过C 1近似属于加权W（L r，ξ（t））类的信号（函数）。傅里叶级数共轭级数的N p可加性方法
4. A Study on Degree of Approximation of a Function Belonging to Weighted w(l_r,ξ(t)) Class by Product Summability of Fourier Series [C] . Kusum Sharma, S. S. Malik International Conference on Advances in Basic Sciences . 2019

机译：傅立叶系列产品可比性研究属于W（L_R，ξ（T）类别的函数的近似程度研究
5. FUNCTIONS OF GENERALIZED BOUNDED VARIATION AND SUMMABILITY OF FOURIER SERIES. [D] . D'ANTONIO, LAWRENCE ARTHUR. 1986

机译：傅里叶级数的广义有界变化和可合性的函数。
6. Pointwise approximation of modified conjugate functions by matrix operators of conjugate Fourier series of ... formula ...-periodic functions [O] . Mateusz Kubiak, Włodzimierz Łenski, Bogdan Szal -1

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7. Trigonometric approximation of periodic Signals belonging to generalized weighted Lipschitz W'(L_r,ξ(t)),(r≥1) -- class by Nörlund-Euler (N,p_n) (E,q) operator of conjugate series of its Fourier series [O] . Vishnu Narayan Mishra, Kejal Khatri, Lakshmi Narayan Mishra 2014

机译：研究属于广义加权Lipschitz W'的周期性信号的三角近似值（L_R，ξ（t）），（r≥1） - undier系列的enrlund-euler（n，p_n）（e，q）操作员系列

DEGREE OF APPROXIMATION OF FUNCTION BELONGING TO WEIGHTED (L_r,ξ(t)) CLASS BY (E,q)(N,P_n~γ)-SUMMABILITY MEANS OF IT'S CONJUGATE FOURIER SERIES

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