Results 41 to 50 of about 881 (112)

SOME NEW PARANORMED DIFFERENCE SEQUENCE SPACES DERIVED BY FIBONACCI NUMBERS [PDF]

, 2013
In this study, we define new paranormed sequence spaces derived by the sequences of Fibonacci numbers. Furthermore, we compute the ; and duals and obtain bases for these sequence spaces.
Serkan Demiriz, E. Kara
semanticscholar   +1 more source

Statistical limit point theorems

International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 11, Page 741-752, 2000., 2000
It is known that given a regular matrix A and a bounded sequence x there is a subsequence (respectively, rearrangement, stretching) y of x such that the set of limit points of Ay includes the set of limit points of x. Using the notion of a statistical limit point, we establish statistical convergence analogues to these results by proving that every ...
Jeff Zeager
wiley   +1 more source

On sequences not enjoying Schur’s property

Open Mathematics, 2017
Here we proved the existence of a closed vector space of sequences - any nonzero element of which does not comply with Schur’s property, that is, it is weakly convergent but not norm convergent. This allows us to find similar algebraic structures in some
Jiménez-Rodríguez Pablo
doaj   +1 more source

Some remarks on the convergence of the Dirichlet series of L-functions and related questions

, 2016
First we show that the abscissae of uniform and absolute convergence of Dirichlet series coincide in the case of $L$-functions from the Selberg class $\mathcal{S}$.
Kaczorowski, J., Perelli, A.
core   +1 more source

On some topological properties of generalized difference sequence spaces

International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 11, Page 785-791, 2000., 2000
We obtain some topological results of the sequence spaces Δm(X), where Δm(X) = {x = (xk) : (Δmxk) ∈ X}, (m ∈ ℕ), and X is any sequence space. We compute the pα‐, pβ‐, and pγ‐duals of l∞, c, and c0 and we investigate the N‐(or null) dual of the sequence spaces Δm(l∞), Δm(c), and Δm(c0).
Mikail Et
wiley   +1 more source

The ℓ‐translativity of Abel‐type matrix

International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 3, Page 189-195, 2000., 2000
Lemma introduced the Abel‐type matrix Aα,t defined by ank=(k+α k)tnk+1(1−tn)α+1, where α > −1, 0 < tn < 1, for all n, and limtn = 1; and studied it as mappings into ℓ. In this paper, we extend our study of this matrix and investigate its translativity in the ℓ‐ℓ setting.
Mulatu Lemma
wiley   +1 more source

A curious result related to Kempner's series

, 2008
It is well known since A. J. Kempner's work that the series of the reciprocals of the positive integers whose the decimal representation does not contain any digit 9, is convergent. This result was extended by F.
Farhi, Bakir
core   +1 more source

Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces

International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 1, Page 49-53, 2000., 2000
We shall consider the behaviour of Ishikawa iteration with errors in a uniformly convex Banach space. Then we generalize the two theorems of Tan and Xu without the restrictions that C is bounded and limsupnsn < 1.
Deng Lei, Li Shenghong
wiley   +1 more source

On λ-statistical convergence of order α of sequences of function

10TH INTERNATIONAL CONFERENCE ON APPLIED SCIENCE AND TECHNOLOGY, 2013
In this study we introduce the concept of Sλα(f)-statistical convergence of sequences of real valued functions. Also some relations between Sλα(f)-statistical convergence and strong wλpβ(f)-summability are given.MSC:40A05, 40C05, 46A45.
M. Et, Muhammed Çınar, Murat Karakas
semanticscholar   +1 more source

Abel‐type weighted means transformations into ℓ

International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 3, Page 197-204, 2000., 2000
Let qk=(k+α k) for α > −1 and Qn=∑k=0nqk. Suppose Aq = {ank}, where ank = qk/Qn for 0 ≤ k ≤ n and 0 otherwise. Aq is called the Abel‐type weighted mean matrix. The purpose of this paper is to study these transformations as mappings into ℓ. A necessary and sufficient condition for Aq to be ℓ‐ℓ is proved.
Mulatu Lemma, George Tessema
wiley   +1 more source