Results 11 to 20 of about 2,185,961 (226)

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

Proceedings 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
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Generalized absolute matrix summability factors

Publications de l'Institut Mathematique
We generalize a theorem dealing with absolute summability factors of an infinite series to absolute matrix summability under weaker conditions by using an almost increasing sequence.
Özarslan, Hikmet Seyhan, Erdoğan, Bağdagül Kartal   +1 more
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On Absolute Cesàro Summability

Journal of Inequalities and Applications, 2009
Denote by 𝒜k the sequence space defined by 𝒜k={(sn):∑n=1∞nk−1|an|k<∞,an=sn−sn−1} for k≥1. In a recent paper by E. Savaş and H.
Hamdullah &#350;evli, Ekrem Sava&#351;   +1 more
doaj   +3 more sources

A new theorem on absolute matrix summability of fourier series [PDF]

Publications de l'Institut Mathematique, 2017
We generalize a main theorem dealing with absolute weighted mean summability of Fourier series to the |A,pn|k summability factors of Fourier series under weaker conditions. Also some new and known results are obtained.
Yildiz, Sebnem, Şebnem Yildiz
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An application on an absolute matrix summability method

, 2022
Summary: The aim of this paper is to generalize a main theorem concerning absolute weighted arithmetic mean summability factors of infinite series and Fourier series to the \(|A, p_n; \delta |_k\) summability method by using a quasi-\(f\)-power increasing sequence.
Yıldız, Şebnem
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A study on absolute summability factors for a triangular matrix [PDF]

Mathematical Inequalities & Applications, 2009
In this paper we obtain an absolute summability factor theorem for lower triangular matrices.
Ekrem Savaş, Savaş, Ekrem
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On Absolute q-Cesàro Summability Methods for Double Sequences

Mathematics
In the present paper, a novel absolute summability method, denoted by |Cq,θ|s, is introduced for double sequences via the q-Cesàro matrix. The study also focuses on determining the necessary and sufficient conditions for various inclusion relations, as ...
Fadime Gökçe
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On absolute factorable matrix summability methods

, 2016
Summary: In this paper, we give necessary and sufficient conditions for \(| C, 0|_k\Rightarrow | A_f|_s\) and \(| A_f|_k\Rightarrow | C, 0|_s\) for the case \(1 < k \leq s < \infty\), where \(| A_f|_k\) is absolute factorable summability. So we obtain some known results.
Sarıgöl, Mehmet Ali
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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.
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On |A|k summability factors of infinite series; pp. 201–206 [PDF]

Proceedings 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
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