Results 11 to 20 of about 3,092 (219)

On Generalized Absolute Matrix Summability Methods

open access: yesInternational 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

On absolute matrix summability methods [PDF]

open access: yesInternational 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

APPLICATIONS OF MATRIX TRANSFORMATIONS TO ABSOLUTE SUMMABILITY [PDF]

open access: yesFacta 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

Absolute matrix summability methods

open access: yesApplied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ARI, Tuba, ÖZARSLAN, Hikmet
openaire   +3 more sources

A NEW APPLICATION OF ABSOLUTE MATRIX SUMMABILITY

open access: yesMathematical 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   +1 more
openaire   +8 more sources

Spectral Metric Spaces on Extensions of C*-Algebras [PDF]

open access: yes, 2016
We construct spectral triples on C*-algebraic extensions of unital C*-algebras by stable ideals satisfying a certain Toeplitz type property using given spectral triples on the quotient and ideal.
Hawkins, Andrew, Zacharias, Joachim
core   +3 more sources

On Multipliers for the Absolute Matrix Summability

open access: yesJournal of Mathematical Analysis and Applications, 1995
Let \((a_{n, k})\) be a triangular matrix with \(a_{n,k}\geq 0\), \(\sum^ n_{r= 0} a_{n, r}= 1\), \(a_{n- 1,k}\geq (1+ a_{n, 0}) a_{n,k+ 1}\), \(0\leq k< n\), \(n\geq 1\) and satisfying \(\sum^ \infty_{n= k} {A_{n,n- k}\over n+ 1}\leq C\) for every \(k\), \(\sum^{n- 1}_{k= 1} | \Delta_ k a_{n, k}|= O(1/n)\), \(\sum^{n- 2}_{k= 0} (k+ 1)| \Delta^ 2_ k a_{
Mittal, M.L., Kumar, R.
openaire   +1 more source

On Absolute Cesàro Summability

open access: yesJournal 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   +1 more
doaj   +2 more sources

Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group [PDF]

open access: yes, 2016
We use a Riemannnian approximation scheme to define a notion of intrinsic Gaussian curvature for a Euclidean C2 -smooth surface in the Heisenberg group H away from characteristic points, and a notion of intrinsic signed geodesic curvature for Euclidean ...
Balogh, Zoltan M.   +2 more
core   +1 more source

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