Results 1 to 10 of about 5,164 (237)

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

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 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

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

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

A study on absolute summability factors

open access: yesSakarya 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   +1 more source

A Study on Generalized Absolute Matrix Summability

open access: yesCumhuriyet Science Journal, 2022
In the present paper, generalized absolute matrix summability method of infinite series has been studied. A known theorem on IMI ,summability method has been generalized using the summability method of infinite series.
Ahmet Karakaş
doaj   +1 more source

On |A|k summability factors of infinite series; pp. 201–206 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2010
In an earlier paper (Rhoades, B. E. and Savaş, E. Some necessary conditions for absolute matrix summability factors. Indian J. Pure Appl. Math., 2002, 33(7), 1003–1009) the authors obtained necessary conditions for the series ∑ an to be absolutely ...
B. E. Rhoades, Ekrem Savaş
doaj   +1 more source

A study on generalized absolute summability factors for a triangular matrix; pp. 115–120 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2011
In this paper, we establish a summability factor theorem for summability |A, δ|k. This paper is an extension of the main result of Savas, E. A study on absolute summability factors for a triangular matrix. Math. Ineq. Appl., 2009, 12(19), 141–146.
Ekrem Savaş
doaj   +1 more source

On a new application of quasi power increasing sequences

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
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,
H.S. Özarslan
doaj   +1 more source

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