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An Application of Almost Increasing Sequences

open access: yesRussian Mathematics, 2021
In this paper, a general theorem on absolute Cesaro summability of an infinite series is proved by using an almost increasing sequence instead of a positive non-decreasing ...
Kartal, Bağdagül
core   +5 more sources

An application of quasi-monotone and almost increasing sequences

open access: yesApplied Mathematics Letters, 2011
In this work, an important theorem dealing with absolute Nörlund summability factors is proved under weaker conditions using δ-quasi-monotone and almost increasing ...
Bor, Hüseyin   +3 more
core   +4 more sources

A new application of almost increasing and quasi-monotone sequences

open access: yesApplied Mathematics Letters, 2011
In the present paper, we have proved a more general theorem dealing with φ−|C,α,β|k summability by using almost increasing and δ-quasi-monotone sequences.
Bor, Hüseyin   +3 more
core   +4 more sources

Generalized Almost Increasing Sequences

open access: yesLobachevskii Journal of Mathematics, 2021
In [1], Mazhar has proved two theorems on absolute summability of infinite series. In the present paper, these two theorems have been generalized for absolute matrix summability of the series Sigma a(n)lambda(n) by using almost increasing ...
Özarslan, HİKMET
core   +3 more sources

A NEW APPLICATION OF ALMOST INCREASING SEQUENCES [PDF]

open access: yesMiskolc Mathematical Notes, 2013
In the present paper we have proved a more general theorem dealing with vertical bar A, p(n)vertical bar(k) summability by using almost increasing sequence.
Ozarslan, HİKMET
core   +6 more sources

On an application of almost increasing sequences [PDF]

open access: yesMathematical Communications, 2001
Using an almost increasing sequence, a result of Mazhar (1977) on |C,1|k summability factors has been generalized for |C,α;β|k and |N¯,pn;β|k summability factors under weaker ...
Hüseyın Bor, Hüseyin Bor
core   +6 more sources

New results for almost increasing sequences [PDF]

open access: yesAnnales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, 2019
In the present paper, two theorems of absolute summability have been proved by using the definition of almost increasing ...
Kartal, Bağdagül
core   +4 more sources

A study on quasi power increasing sequences [PDF]

open access: yesJournal of Inequalities and Applications, 2008
In the present paper, using a quasi beta-power increasing sequence instead of an almost increasing sequence, a result of Bor and Seyhan [5] concerning the phi - vertical bar C,alpha vertical bar(k) summability factors has been proved under weaker ...
Bor, Hüseyin, Ozarslan, Hikmet
core   +8 more sources

An application of almost increasing sequences [PDF]

open access: yesMathematical Inequalities & Applications, 2002
We extended a theorem of Mishra and Srivastava (1983–1984) on |C, 1|k summability factors, using almost increasing sequences, to summability under weaker conditions.
Hüseyin Bor
core   +11 more sources

Almost Increasing Sequences and Their New Applications

open access: yesAIP Conference Proceedings, 2017
In[1], Bor has proved a theorem concerning absolute summability of infinite series. In the present paper, this known theorem has been generalized to absolute matrix summability by using matrix transformations and almost increasing sequences. Some results
Kartal, Bağdagül   +3 more
core   +4 more sources

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