Results 1 to 10 of about 194 (177)
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
doaj +5 more sources
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
doaj +3 more sources
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
doaj +3 more sources
Absolute Matrix Summability Methods
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hikmet Seyhan Özrssln, T. Ari
exaly +5 more sources
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
doaj +4 more sources
Inclusion Theorems for Absolute Matrix Summability Methods
Journal of Mathematical Analysis and Applications, 1999 The author establishes a general inclusion theorem for a non-negative regular matrix \(T\) satisfying some conditions absolutely stronger than conditions satisfied by a weighted mean matrix. Further he obtains four corollaries establishing inclusion theorems for Cesáro and weighted mean methods and deducing earlier results of H. Bor and M. A. Sarigöl.
B E Rhoades
exaly +3 more sources
On the Absolute Matrix Summability Factors of Fourier Series
Mathematical Notes, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly +4 more sources
On the absolute matrix summability factors [PDF]
Journal of Inequalities and Applications, 2011 In this paper, we have obtained a necessary and suffcient condition for the series.
Arı, Tuba, ÖZARSLAN, Hikmet
+13 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.
openaire +2 more sources
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 SavaÅ, E. Some necessary conditions for absolute matrix summability factors. Indian J. Pure Appl. Math., 2002, 33(7), 1003â1009) the authors obtained necessary conditions for the series â an to be absolutely ...
B. E. Rhoades, Ekrem Savaş
doaj +1 more source