On Two Absolute Riesz Summability Factors of Infinite Series

1993 ◽  
Vol 118 (2) ◽  
pp. 485 ◽  
Author(s):  
Mehmet Ali Sarigol
Keyword(s):  
Infinite Series ◽  
Summability Factors ◽  
Riesz Summability ◽  
Absolute Riesz Summability

scholarly journals On a new application of quasi power increasing sequences

2019 ◽  
Vol 11 (1) ◽  
pp. 152-157
Author(s):  
H.S. Özarslan
Keyword(s):  
Infinite Series ◽  
Summability Factors ◽  
Matrix Summability ◽  
Absolute Matrix Summability ◽  
Riesz Summability ◽  
Beta Power ◽  
Absolute Riesz Summability ◽  
Power Increasing Sequences ◽  
Weaker Conditions ◽  
Increasing Sequences

In the present paper, absolute matrix summability of infinite series has been studied. A new theorem concerned with absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series, has been proved under weaker conditions by using quasi $\beta$-power increasing sequences. Also, a known result dealing with absolute Riesz summability has been given.

scholarly journals Absolute Riesz summability factors for Fourier series

1970 ◽  
Vol 17 (1) ◽  
pp. 65-70
Author(s):  
Prem Chandra
Keyword(s):  
Fourier Series ◽  
Infinite Series ◽  
Summability Factors ◽  
Monotonic Sequence ◽  
Riesz Mean ◽  
Riesz Summability ◽  
Absolute Riesz Summability ◽  
Image Position

Let ∑an be a given infinite series and {λn} a non-negative, strictly increasing, monotonic sequence, tending to infinity with n. We write, for w > λ0,and, for r>0, we write is known as the Riesz sum of “ type ” λn and “ order ” r, andis called the Riesz mean of type λn and order r.

On absolute Riesz summability factors of infinite series and their application to Fourier series

2019 ◽  
Vol 26 (3) ◽  
pp. 361-366
Author(s):  
Hüseyin Bor
Keyword(s):  
Fourier Series ◽  
Infinite Series ◽  
Summability Method ◽  
Trigonometric Fourier Series ◽  
Summability Factors ◽  
Riesz Summability ◽  
Absolute Riesz Summability ◽  
The Absolute

Abstract In this paper, some known results on the absolute Riesz summability factors of infinite series and trigonometric Fourier series have been generalized for the {\lvert\bar{N},p_{n};\theta_{n}\rvert_{k}} summability method. Some new and known results are also obtained.

scholarly journals A new theorem on the absolute Riesz summability factors

Filomat ◽  
2014 ◽  
Vol 28 (8) ◽  
pp. 1537-1541 ◽  
Author(s):  
Hüseyin Bor
Keyword(s):  
Infinite Series ◽  
General Class ◽  
Summability Factors ◽  
Riesz Summability ◽  
Absolute Riesz Summability ◽  
Power Increasing Sequences ◽  
The Absolute ◽  
Increasing Sequences ◽  
Quasi Power Increasing Sequence

In [5], we proved a main theorem dealing with absolute Riesz summability factors of infinite series using a quasi-?-power increasing sequence. In this paper, we generalize that theorem by using a general class of power increasing sequences instead of a quasi-?-power increasing sequence. This theorem also includes some new and known results.

Absolute riesz summability factors

1989 ◽  
Vol 20 (2) ◽  
pp. 97-108
Author(s):  
I. Sukla ◽  
P. C. Mohanty
Keyword(s):  
Summability Factors ◽  
Riesz Summability ◽  
Absolute Riesz Summability

On Absolute Riesz Summability Factors

1964 ◽  
Vol s1-39 (1) ◽  
pp. 455-465 ◽  
Author(s):  
D. Borwein ◽  
B. L. R. Shawyer
Keyword(s):  
Summability Factors ◽  
Riesz Summability ◽  
Absolute Riesz Summability
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