On the newly generalized absolute Riesz summability of orthogonal series

1995 ◽  
Vol 21 (4) ◽  
pp. 285-297 ◽  
Author(s):  
L. Leindler
Keyword(s):  
Orthogonal Series ◽  
Riesz Summability ◽  
Absolute Riesz Summability

scholarly journals On absolute generalized N"orlund summability of orthogonal series

2002 ◽  
Vol 33 (2) ◽  
pp. 161-166
Author(s):  
Y. Okuyama
Keyword(s):  
Orthogonal Series ◽  
General Theorem ◽  
Riesz Summability ◽  
Absolute Riesz Summability ◽  
The Absolute

In this paper, we shall prove a general theorem which contains two theorems on the absolute N"orlund summability and the absolute Riesz summability of orthogonal series.

On the absolute Riesz summability of orthogonal series

1981 ◽  
Vol 7 (3) ◽  
pp. 199-208 ◽  
Author(s):  
Yasuo Okuyama ◽  
Tamotsu Tsuchikura
Keyword(s):  
Orthogonal Series ◽  
Riesz Summability ◽  
Absolute Riesz Summability ◽  
The Absolute

scholarly journals On absolute riesz summability of Fourier series

1975 ◽  
Vol 19 (1) ◽  
pp. 97-102
Author(s):  
G. D. Dikshit
Keyword(s):  
Fourier Series ◽  
General Theorem ◽  
Riesz Summability ◽  
Absolute Riesz Summability ◽  
Summability Of Fourier Series ◽  
Image Position

AbstractLet and .In 1951 Mohanty proved the following theorem: .In this paper a general theorem on summability |R,l (w), 1 | of Σ An(x) has been given which improves upon Mohanty's result in different ways (see Corollaries 1, 2 and 3) and it is also shown that some of the results of this note are the best possible.

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