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On Absolute Cesàro Summability [PDF]

open access: yesJournal of Inequalities and Applications, 2009
Denote by the sequence space defined by for . In a recent paper by E. Savaş and H. Şevli (2007), they proved every Cesàro matrix of order , for , for .
Savaş Ekrem, Şevli Hamdullah
doaj   +6 more sources

On absolute summability factors

open access: greenJournal of Numerical Analysis and Approximation Theory, 1991
Not available.
M. Ali Sarigöl
doaj   +6 more sources

A note on absolute summability factors [PDF]

open access: goldInternational Journal of Mathematics and Mathematical Sciences, 1994
In this paper, a generalization of a theorem of Mishra and Srivastava [4] on |C,1|k summability factors has been proved.
Hüseyın Bor
doaj   +2 more sources

Absolute φ − | C , α , β ; δ | k $\varphi- \vert C, \alpha, \beta; \delta\vert _{k}$ summability of infinite series [PDF]

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we established a generalized theorem on a minimal set of sufficient conditions for absolute summability factors by applying a sequence of a wider class (quasi-power increasing sequence) and the absolute Cesàro φ − | C , α , β ; δ | k ...
Smita Sonker, Alka Munjal
doaj   +2 more sources

A study on absolute summability factors

open access: diamondSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020
In this study we proved theorems dealing withsummability factors giving relations between absolute Cesàro and absolute weightedsummability methods. So we deduced some results in the special cases.
G. Canan Hazar Güleç
doaj   +2 more sources

A new factor theorem for generalized absolute Riesz summability

open access: diamondKarpatsʹkì Matematičnì Publìkacìï, 2019
The aim of this paper is to consider an absolute summability method and generalize a theorem concerning $\left|\bar{N},p_{n}\right|_{k}$ summability of infinite series to ${\varphi-\mid{\bar{N},p_n;\delta}\mid}_k$ summability of infinite series by using ...
A. Karakaş
doaj   +3 more sources

A generalization of a theorem of Bor [PDF]

open access: yesJournal of Inequalities and Applications, 2017
In this paper, a general theorem concerning absolute matrix summability is established by applying the concepts of almost increasing and δ-quasi-monotone sequences.
Hikmet Seyhan Özarslan   +1 more
doaj   +2 more sources

Factors for Absolute Weighted Arithmetic Mean Summability of Infinite Series

open access: greenInternational Journal of Analysis and Applications, 2017
In this paper, we proved a general theorem dealing with absolute weighted arithmetic mean summability factors of infinite series under weaker conditions. We have also obtained some known results.
Hüseyin Bor
doaj   +3 more sources

A new note on factored infinite series and trigonometric Fourier series

open access: yesComptes Rendus. Mathématique, 2021
In this paper, we have proved two main theorems under more weaker conditions dealing with absolute weighted arithmetic mean summability factors of infinite series and trigonometric Fourier series.
Bor, Hüseyin
doaj   +1 more source

Partial best approximations and the absolute Cesaro summability of multiple Fourier series [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
The article is devoted to the problem of absolute Cesaro summability of multiple trigonometric Fourier series. Taking a central place in the theory of Fourier series this problem was developed quite widely in the one-dimensional case and the ...
S. Bitimkhan, D.T. Alibieva
doaj   +3 more sources

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