Results 11 to 20 of about 388 (219)

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
doaj   +3 more sources

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.
Sarigol, Mehmet Ali
core   +6 more sources

On Absolute Cesàro Summability [PDF]

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   +5 more sources

Generalized absolute matrix summability factors [PDF]

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
openaire   +3 more sources

A NEW APPLICATION OF ABSOLUTE MATRIX SUMMABILITY [PDF]

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 \( | A, p_{n}|_{k} \), \( k \geq 1 \).
ÖZARSLAN, Hikmet Seyhan, ŞAKAR, Mehmet Öner   +1 more
core   +9 more sources

An application on an absolute matrix summability method [PDF]

, 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
core   +7 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
openaire   +4 more sources

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
openaire   +5 more sources

Local properties of absolute matrix summability of factored fourier series [PDF]

Filomat, 2017
In this paper, we introduce two new general theorems on ??A,pn?k summability factors of infinite and Fourier series. By using these theorems, we obtain some new results regarding other important summability methods and investigate conversions between them.
Yıldız, Şebnem, ÖZARSLAN, Hikmet
openaire   +6 more sources

On absolute factorable matrix summability methods [PDF]

, 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
openaire   +5 more sources