Results 31 to 40 of about 343 (70)

The Method of almost convergence with operator of the form fractional order and applications

, 2016
The purpose of this paper is twofold. First, basic concepts such as Gamma function, almost convergence, fractional order difference operator and sequence spaces are given as a survey character.
Kadak, Ugur, Kirisci, Murat
core   +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

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

The closed neighborhood and filter conditions in solid sequence spaces

International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 4, Page 625-632, 1989., 1989
Let E be a topological vector space of scalar sequences, with topology τ; (E,τ) satisfies the closed neighborhood condition iff there is a basis of neighborhoods at the origin, for τ, consisting of sets whlch are closed with respect to the topology π of coordinate‐wise convergence on E; (E,τ) satisfies the filter condition iff every filter, Cauchy with
P. D. Johnson, Jr.
wiley   +1 more source

Integrated and Differentiated Spaces of Triangular Fuzzy Numbers

, 2017
Fuzzy sets are the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling.
Kirişci, Murat
core   +1 more source

λ‐similar bases

International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 2, Page 227-232, 1987., 1987
Corresponding to an arbitrary sequence space λ, a sequence {xn} in a locally convex space (l.c.s.) (X, T) is said to be λ‐similar to a sequence {yn} in another l.c.s. (Y, S) if for an arbitrary sequence {αn} of scalars, {αn p(xn)} ϵ λ for all p ϵ DT⇔{αn q(yn)} ϵ λ, for all q ϵ DS, where DT and DS are respectively the family of all T and S continuous ...
Manjul Gupta, P. K. Kamthan
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

Borel equivalence relations in the space of bounded operators

, 2017
We consider various notions of equivalence in the space of bounded operators on a Hilbert space, in particular modulo finite rank, modulo Schatten $p$-class, and modulo compact.
Smythe, Iian B.
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

On some subspaces of an FK-space [PDF]

, 2002
In this paper we study the subspaces C_{1},C_{1}W,C_{1}F and C_{1}B for a locally convex FK-space X containing Ф ,$ the space of finite ...
İ. Dağadur
core