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

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
Vishnu Narayan Mishra ◽  
Kejal Khatri ◽  
Lakshmi Narayan Mishra
Keyword(s):  
Fourier Series ◽  
Approximation Of Functions ◽  
Conjugate Series

scholarly journals On the Approximation of Generalized Lipschitz Function by Euler Means of Conjugate Series of Fourier Series

2013 ◽  
Vol 2013 ◽  
pp. 1-4
Author(s):  
Jitendra Kumar Kushwaha
Keyword(s):  
Fourier Series ◽  
Approximation Theory ◽  
Lipschitz Function ◽  
Applied Mathematics ◽  
Degree Of Approximation ◽  
Lipschitz Class ◽  
Approximation Of Functions ◽  
Conjugate Series ◽  
Important Field

Approximation theory is a very important field which has various applications in pure and applied mathematics. The present study deals with a new theorem on the approximation of functions of Lipschitz class by using Euler’s mean of conjugate series of Fourier series. In this paper, the degree of approximation by using Euler’s means of conjugate of functions belonging to class has been obtained. and classes are the particular cases of class. The main result of this paper generalizes some well-known results in this direction.

scholarly journals On the degree of approximation of conjugate of a function belonging to weighted $ W(L^p,\xi(t))$ class by matrix summability means of conjugate series of a Fourier series

2000 ◽  
Vol 31 (4) ◽  
pp. 279-288 ◽  
Author(s):  
Shyam Lal
Keyword(s):  
Fourier Series ◽  
Degree Of Approximation ◽  
Conjugate Series ◽  
Matrix Summability

In this paper a new theorem on the degree of approximation of conjugate of a function belonging to weighted $ W(L^p,\xi(t))$ class by Matrix summability means of conjugate series of a Fourier series has been established. The main theorem is a generalization of serveral known and unknown results.

Approximation of Signals by Harmonic-Euler Triple Product Means

2021 ◽  
Vol 88 (1-2) ◽  
pp. 176
Author(s):  
Smita Sonker ◽  
Paramjeet Sangwan
Keyword(s):  
Fourier Series ◽  
Triple Product ◽  
Conjugate Series ◽  
Summability Of Fourier Series ◽  
Approximation Of Signals ◽  
General Conditions

Our paper deals with the approximation of signals by <em>H<sub>1</sub>.E<sup>θ</sup>.E<sup>θ</sup></em> product means of Fourier and its conjugate series. New theorems based on <em>H<sub>1</sub>.E<sup>θ</sup>.E<sup>θ</sup></em> product summability have been established and proved under general conditions. The established theorems extend, generalize and improve various existing results on summability of Fourier series and its conjugate series.

On the Strong Summability by Triangular Means of the Derived Fourier Series and its Conjugate Series

1966 ◽  
Vol 9 (05) ◽  
pp. 647-654
Author(s):  
Narendra K. Govil
Keyword(s):  
Fourier Series ◽  
Triangular Matrix ◽  
Regular Sequence ◽  
Strong Summability ◽  
List Type ◽  
Conjugate Series

The triangular matrix (A) = (X ), where n = 0, 1, 2,…; k = 0, 1, 2, …; and λn, k = 0 for k &gt; n is regular (in the sense of defining a regular sequence to sequence transform) if for every fixed k ; independently of n;

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