scholarly journals A new result on weighted arithmetic mean summability factors of infinite series involving almost increasing sequences

2019 ◽  
Author(s):  
Şebnem Yıldız
Keyword(s):  
Infinite Series ◽  
Arithmetic Mean ◽  
Summability Factors ◽  
Weighted Arithmetic ◽  
Increasing Sequences ◽  
Almost Increasing Sequences

scholarly journals Quasimonotone and Almost Increasing Sequences and Their New Applications

2012 ◽  
Vol 2012 ◽  
pp. 1-6 ◽  
Author(s):  
Hüseyin Bor
Keyword(s):  
Infinite Series ◽  
Summability Factors ◽  
The Absolute ◽  
New Applications ◽  
Weaker Conditions ◽  
Increasing Sequences ◽  
Almost Increasing Sequences ◽  
Absolute Nörlund Summability

Recently, we have proved a main theorem dealing with the absolute Nörlund summability factors of infinite series by using -quasimonotone sequences. In this paper, we prove that result under weaker conditions. A new result has also been obtained.

scholarly journals Absolute weighted arithmetic mean summability factors of infinite series and trigonometric fourier series

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4963-4968 ◽  
Author(s):  
Hüseyin Bor
Keyword(s):  
Fourier Series ◽  
Infinite Series ◽  
Arithmetic Mean ◽  
Trigonometric Fourier Series ◽  
Summability Factors ◽  
Weighted Arithmetic ◽  
Quasi Power Increasing Sequence

In this paper, we generalized a known theorem dealing with absolute weighted arithmetic mean summability of infinite series by using a quasi-f-power increasing sequence instead of a quasi-?-power increasing sequence. And we applied it to the trigonometric Fourier series

scholarly journals Almost increasing sequences and their new applications II

Filomat ◽  
2014 ◽  
Vol 28 (3) ◽  
pp. 435-439 ◽  
Author(s):  
Hüseyin Bor
Keyword(s):  
Infinite Series ◽  
Summability Factors ◽  
New Applications ◽  
Increasing Sequences ◽  
Almost Increasing Sequences

In this paper, we generalize a known theorem dealing with |C,?|k summability factors to the |C,?,?,?|k summability factors of infinite series. This theorem also includes some known and new results.

scholarly journals A New Application of Almost Increasing Sequences

2015 ◽  
Vol 61 (1) ◽  
pp. 153-160 ◽  
Author(s):  
H.S. Özarslan ◽  
A. Keten
Keyword(s):  
Infinite Series ◽  
Summability Factors ◽  
Weaker Conditions ◽  
Increasing Sequences ◽  
Almost Increasing Sequences

Abstract Bor has proved a main theorem dealing with | N̄ , pn|k summability factors of infinite series. In this paper, we have generalized this theorem to the φ − |A, pn|k summability factors, under weaker conditions by using an almost increasing sequence instead of a positive monotonic non-decreasing sequence.

A new application of quasi monotone sequences and quasi power increasing sequences to factored infinite series

Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5105-5109
Author(s):  
Hüseyin Bor
Keyword(s):  
Infinite Series ◽  
Summability Factors ◽  
Monotone Sequences ◽  
Power Increasing Sequences ◽  
Weaker Conditions ◽  
Increasing Sequences

In this paper, we generalize a known theorem under more weaker conditions dealing with the generalized absolute Ces?ro summability factors of infinite series by using quasi monotone sequences and quasi power increasing sequences. This theorem also includes some new results.

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