Results 41 to 50 of about 202 (73)

q-Stirling sequence spaces associated with q-Bell numbers

Open Mathematics
In this study, we build qq-analog of the qq-Stirling matrix involved qq-Bell numbers Sq=(Snk(q)){{\mathbb{S}}}_{q}=({S}_{nk}\left(q)) defined by Sq=(Snk(q))=Sq(n,k)Bq(n),0≤k≤n,0,otherwise.\begin{array}{r}{{\mathbb{S}}}_{q}=({S}_{nk}\left(q))=\left ...
Atabey Koray Ibrahim, Çınar Muhammed, Et Mikail, Karakaş Murat   +3 more
doaj   +1 more source

Iλ-statistically convergent sequences in topological groups [PDF]

, 2014
Let 2N be the family of all subsets of N. Using an ideal I ⊂ 2N, Savaş and Das in 2011 defined Iλ-statistical convergence of real sequences as a generalization of λ-statistical convergence introduced in 2000 by Mursaleen.
Savaş, Ekrem
core   +2 more sources

The Abel‐type transformations into ℓ

International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 4, Page 775-784, 1999., 1999
Let t be a sequence in (0, 1) that converges to 1, and define the Abel‐type matrix Aα,t by for α > −1. The matrix Aα,t determines a sequence‐to‐sequence variant of the Abel‐type power series method of summability introduced by Borwein in [1]. The purpose of this paper is to study these matrices as mappings into ℓ.
Mulatu Lemma
wiley   +1 more source

Double sequence core theorems

International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 4, Page 785-793, 1999., 1999
In 1900, Pringsheim gave a definition of the convergence of double sequences. In this paper, that notion is extended by presenting definitions for the limit inferior and limit superior of double sequences. Also the core of a double sequence is defined.
Richard F. Patterson
wiley   +1 more source

Invariant means and lacunary sequence spaces of order (α, β)

Demonstratio Mathematica
In this article, we use the notion of lacunary statistical convergence of order (α,β)\left(\alpha ,\beta ) to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function ℳ=(ℵk){\mathcal{ {\mathcal M} }}=\left({\
Ayman-Mursaleen Mohammad, Nasiruzzaman Md., Sharma Sunil K., Cai Qing-Bo   +3 more
doaj   +1 more source

Universal matrix transforms of holomorphic functions [PDF]

, 2006
The phenomenon of overconvergence is related with the convergence of subsequences of the sequence of partial sums of Taylor series at points outside their disk of convergence.
Bernal González, Luis, Calderón Moreno, María del Carmen, Luh, Wolfgang   +2 more
core  

Noninclusion theorems for summability matrices

International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 3, Page 511-516, 1997., 1997
For both ordinary convergence and ℓ1‐summability explicit sufficient conditions on a matrix have long been known that ensure that the summability method is strictly stronger than the identity map. The main results herein show that a matrix that satisfies those conditions can be included by another matrix only if the other matrix satisfies those same ...
J. A. Fridy
wiley   +1 more source

Lacunary statistical convergence of double sequences [PDF]

, 2005
In 1978 Freedman, Sember, and Raphael presented a definition for lacunary refinement as follows: $rho={bar{k}_{r}}$ is called a lacunary refinement of the lacunary sequence $theta ={k_{r}}$ if ${k_{r}}subseteq {bar{k}_{r}}$.
E. Savaş, R. F. Patterson
core  

Optimization and matrix constructions for classification of data [PDF]

, 2011
Max-plus algebras and more general semirings have many useful applications and have been actively investigated. On the other hand, structural matrix rings are also well known and have been considered by many authors.
Abawajy, J. L., Chowdhury, M., Kelarev, A. V., Vamplew, P. W., Yearwood, J. L.   +4 more
core   +1 more source

Double sequences of interval numbers defined by Orlicz functions [PDF]

, 2013
We define and study λ2-convergence of double sequences of interval numbers dened by Orlicz function and λ2-statistical convergence of double sequences of interval numbers.
Esi, Ayhan
core   +3 more sources