Results 11 to 20 of about 314 (230)
On absolute matrix summability methods [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 We have proved a theorem on summability methods. This theorem includes a known theorem.
H. S. Özarslan, H. N. Öğdük
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Almost absolute weighted summability with index k and matrix transformations [PDF]
Journal of Inequalities and Applications, 2021 In this paper we generalize the space ℓ ˆ k $\hat{\ell }_{k}$ of absolutely almost convergent series (J. Math. Anal. Appl. 161:50–56, 1991) via weighted mean transformations. We study some inclusion relations and their topological properties.
M. A. Sarıgöl, M. Mursaleen
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Generalization of the space l(p) $l(p)$ derived by absolute Euler summability and matrix operators [PDF]
Journal of Inequalities and Applications, 2018 The sequence space l(p) $l(p)$ having an important role in summability theory was defined and studied by Maddox (Q. J. Math. 18:345–355, 1967). In the present paper, we generalize the space l(p) $l(p)$ to the space |Eϕr|(p) $\vert E_{\phi }^{r} \vert (p)$
Fadime Gökçe, Mehmet Ali Sarıgöl
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A Study on Generalized Absolute Matrix Summability
Cumhuriyet 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
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On Generalized Absolute Matrix Summability Methods
International Journal of Analysis and Applications, 2016 In this paper, we prove a general theorem dealing with absolute matrix summability methods of infinite series. This theorem also includes some new and known results.
Hikmet Seyhan Özarslan
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APPLICATIONS OF MATRIX TRANSFORMATIONS TO ABSOLUTE SUMMABILITY [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2021 Rhoades and Sava¸s [6],[11] established necessary for inclusions of the absolute matrix summabilities under additional conditions. In this paper we determine necessary or su¢ cient conditions for some classes of in…nite matrices, and using this get necessary or su¢ cient conditions for more general absolute summabilities applied to all matrices.
Mehmet Ali Sarıgöl
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On the absolute matrix summability factors [PDF]
Quaestiones Mathematicae, 2011 In this paper, we have obtained a necessary and suffcient condition for the series.
Hikmet Özarslan, T. Ari
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A new note on generalized absolute matrix summability [PDF]
Tbilisi Mathematical Journal, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hikmet Özarslan, T. Ari
+9 more sources
A generalization of a theorem of Bor [PDF]
Journal 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
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A NEW APPLICATION OF ABSOLUTE MATRIX SUMMABILITY
Mathematical Sciences and Applications E-Notes, 2015 The summability of a matrix \( A = (a_{n vu}) \) is studied. The main result states that if \( A \) is a positive normal matrix and if some conditions are satified, then the series \( \sum a_{n}\lambda_{n}\) are summable \( | A, p_{n}|_{k} \), \( k \geq 1 \).
Hikmet Özarslan, M. Ö. Şakar
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