Results 31 to 40 of about 76 (75)

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

Gliding hump properties and some applications

International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 1, Page 121-132, 1995., 1995
In this not we consider several types of gliding bump properties for a sequence space E and we consider the various implications between these properties. By means of examples we show that most of the implications are strict and they afford a sort of structure between solid sequence spaces and those with weakly sequentially complete β‐duals.
Johann Boos, Daniel J. Fleming
wiley   +1 more source

Sublinear functionals and Knopp′s core theorem

International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 3, Page 461-468, 1990., 1989
In this paper we are concerned with inequalities involving certain sublinear functionals on m, the space of real bounded sequences. Such inequalities being analogues of Knopp′s Core theorem.
C. Orhan
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

Λ²-statistical convergence and its application to Korovkin second theorem

, 2019
In this paper, we use the notion of strong (N, λ²)−summability to generalize the concept of statistical convergence. We call this new method a λ²−statistical convergence and denote by S λ₂ the set of sequences which are λ²−statistically convergent.
LOKU, Valdete, BRAHA , Naim L.
core   +1 more source

On Motzkin sequence spaces via q-analog and compact operators

Demonstratio Mathematica
We aim to develop a qq-analog of recently introduced Motzkin sequence spaces by Erdem et al. [Motzkin sequence spaces and Motzkin core, Numer. Funct. Anal. Optim. 45 (2024), no.
Yaying Taja, Mursaleen Mohammad
doaj   +1 more source

Certain new Factor Theorems for Infinite Series and Trigonometric Fourier Series

, 2020
In this paper, rstly we proved a general theorem dealing with absolute Riesz summability factors of innite series under weaker conditions. And  secondly we applied it to the trigonometric Fourier series.
Bor, Huseyin
core  

DUALITY FOR SOME LARGE SPACES OF ANALYTIC FUNCTIONS [PDF]

, 2017
We characterize the duals and biduals of the $L^p$-analogues $\mathcal{N}_\alpha^p$ of the standard Nevanlinna classes $\mathcal{N}_\alpha$, $\alpha\ge-1$ and $1\le p\lt \infty$.
Jarchow, H., Wirths, K. J., Montesinos, V., Xiao, J.   +3 more
core  

Intersections of Fréchet spaces and (LB)-spaces

, 2020
This article presents results about the class of locally convex spaces which are defined as the intersection E ∩F of a Fréchet space F and a countable inductive limit of Banach spaces E.
José Bonet, Angela A Albanese
core  

© Hindawi Publishing Corp. ON THE BANACH ALGEBRA �(lp(α))

, 2004
We give some properties of the Banach algebra of bounded operators (lp(α)) for 1 ≤ p ≤∞, where lp(α) = (1/α) −1 ∗lp. Then we deal with the continued fractions and give some properties of the operator ∆ h for h>0 or integer greater than or equal to ...
Bruno De Malafosse
core