Pointwise Strong Summability of Vilenkin–Fourier Series

2020 ◽  
Vol 108 (3-4) ◽  
pp. 499-510
Author(s):  
G. Gát ◽  
U. Goginava
Keyword(s):  
Fourier Series ◽  
Strong Summability

scholarly journals The strong summability of Fourier series

1935 ◽  
Vol 25 ◽  
pp. 162-189 ◽  
Author(s):  
G. Hardy ◽  
J. Littlewood
Keyword(s):  
Fourier Series ◽  
Strong Summability ◽  
Summability Of Fourier Series

scholarly journals Absolute and strong summability in degree $p \geqslant 1$ of $r$ times differentiated Fourier series and $r$ times differentiated conjugate Fourier series by matrix methods

2021 ◽  
pp. 74
Author(s):  
N.T. Polovina
Keyword(s):  
Fourier Series ◽  
Strong Summability ◽  
Matrix Methods ◽  
Conjugate Fourier Series ◽  
The Matrix

We establish conditions of $|\gamma|_p$- and $[\gamma]_p$-summability in degree $p \geqslant 1$ of $r$ times differentiated Fourier series at the point where $\gamma = \| \gamma_{nk} \|$ is the matrix of transformation of series to sequence. Analogous conditions are considered also for $r$ times differentiated conjugate Fourier 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 > 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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