scholarly journals Absolute summability of conjugate Fourier integrals by Voronoi-Nerlund method

2021 ◽  
pp. 60
Author(s):  
N.I. Volkova ◽  
N.P. Ogol
Keyword(s):  
Absolute Summability ◽  
Fourier Integrals

We establish conditions of absolute summability of Fourier integrals and conjugate Fourier integrals by Voronoi-Nerlund method.

scholarly journals On absolute summability of Fourier integrals with multipliers

1987 ◽  
pp. 78
Author(s):  
L.G. Bojtsun ◽  
A.I. Khaliuzova
Keyword(s):  
Fourier Integral ◽  
Functional Method ◽  
Absolute Summability ◽  
Fourier Integrals

We obtain the conditions for function that generates functional method and for the multiplier $\mu(y)$ that are sufficient for absolute summability of$$\int\limits_0^{\infty} \mu (y) B(y, t) dy$$where $\int\limits_0^{\infty} B(y, t) dy$ is the Fourier integral of a function $f(t) \in L_{(-\infty, \infty)}$.

Absolute summability of trigonometric series

1981 ◽  
Vol 30 (6) ◽  
pp. 912-919
Author(s):  
I. Szalay
Keyword(s):  
Trigonometric Series ◽  
Absolute Summability

scholarly journals On Absolute Summability for any Positive Order

1933 ◽  
Vol 3 (3) ◽  
pp. 173-178 ◽  
Author(s):  
C. E. Winn
Keyword(s):  
Absolute Summability ◽  
Positive Order ◽  
Partial Sum ◽  
Image Position

Absolute summability according to Cesàro's method has been defined by Fekete for positive integral orders, as follows:—Denoting the rth partial sum of a series Σun by and its rth mean, namely2, by we can regard as the sum of the series.

scholarly journals Characterization on some absolute summability factors of infinite series

1999 ◽  
Vol 22 (4) ◽  
pp. 817-822
Author(s):  
W. T. Sulaiman
Keyword(s):  
Infinite Series ◽  
General Theorem ◽  
Absolute Summability ◽  
Summability Factors ◽  
Absolute Summability Factors

A general theorem concerning some absolute summability factors of infinite series is proved. This theorem characterizes as well as generalizes our previous result [4]. Other results are also deduced.

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