scholarly journals A New Outlook for Almost Convergent Sequence Spaces

2018 ◽  
pp. 34-46 ◽  
Author(s):  
Murat CANDAN
Keyword(s):  
Convergent Sequence ◽  
Sequence Spaces ◽  
Almost Convergent Sequence

scholarly journals Some Almost Lacunary Double Sequence Spaces Defined by Orlicz Functions in 2-Normed Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
Orhan Tug
Keyword(s):  
Double Sequence ◽  
Convergent Sequence ◽  
Sequence Spaces ◽  
Double Sequences ◽  
Normed Spaces ◽  
Orlicz Functions ◽  
Double Sequence Spaces ◽  
Almost Convergent Sequence

Das and Patel (1989) introduced two new sequence spaces which are called lacunary almost convergent and lacunary strongly almost convergent sequence spaces. Móricz and Rhoades (1988) defined and studied almost P-convergent double sequences spaces. Savaş and Patterson (2005) introduce the almost lacunary strong P-convergent double sequence spaces by using Orlicz functions and examined some properties of these sequences spaces. In this paper, some almost lacunary double sequences spaces are given by using 2-normed spaces.

scholarly journals Almost convergent sequence spaces derived by the domain of quadruple band matrix

2020 ◽  
Vol 19 (1) ◽  
pp. 155-170
Author(s):  
Mustafa Cemil Bişgin
Keyword(s):  
Convergent Sequence ◽  
Sequence Spaces ◽  
Schauder Basis ◽  
Third Order ◽  
Difference Matrix ◽  
Order Difference ◽  
Matrix Classes ◽  
Band Matrix ◽  
Almost Convergent Sequence ◽  
Triple Band

AbstractIn this work, we construct the sequence spaces f(Q(r, s, t, u)), f0(Q(r, s, t, u)) and fs(Q(r, s, t, u)), where Q(r, s, t, u) is quadruple band matrix which generalizes the matrices Δ3, B(r, s, t), Δ2, B(r, s) and Δ, where Δ3, B(r, s, t), Δ2, B(r, s) and Δ are called third order difference, triple band, second order difference, double band and difference matrix, respectively. Also, we prove that these spaces are BK-spaces and are linearly isomorphic to the sequence spaces f, f0 and fs, respectively. Moreover, we give the Schauder basis and β, γ-duals of those spaces. Lastly, we characterize some matrix classes related to those spaces.

scholarly journals Almost Sequence Spaces Derived by the Domain of the Matrix

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Ali Karaisa ◽  
Ümıt Karabıyık
Keyword(s):  
Normed Space ◽  
Convergent Sequence ◽  
Sequence Spaces ◽  
Schauder Basis ◽  
Matrix Classes ◽  
Almost Convergent Sequence ◽  
Inclusion Relations ◽  
The Matrix

By using , we introduce the sequence spaces , , and of normed space and -space and prove that , and are linearly isomorphic to the sequence spaces , , and , respectively. Further, we give some inclusion relations concerning the spaces , , and the nonexistence of Schauder basis of the spaces and is shown. Finally, we determine the - and -duals of the spaces and . Furthermore, the characterization of certain matrix classes on new almost convergent sequence and series spaces has exhaustively been examined.

SOME ALMOST CONVERGENT SEQUENCE SPACES OF FUZZY NUMBERS GENERATED BY INFINITE MATRICES

2006 ◽  
Vol 02 (02) ◽  
pp. 115-121
Author(s):  
EKREM SAVAS
Keyword(s):  
Fuzzy Numbers ◽  
Convergent Sequence ◽  
Sequence Spaces ◽  
Topological Properties ◽  
Infinite Matrices ◽  
Almost Convergent Sequence ◽  
Inclusion Relations

In this paper we define some almost convergent sequence spaces of fuzzy numbers by using the A-transforms and we also examine topological properties and some inclusion relations for these new sequence spaces.

scholarly journals $theta_sigma$-summable sequences and some matrix transformations

2004 ◽  
Vol 35 (4) ◽  
pp. 313-320 ◽  
Author(s):  
Vatan Karakaya
Keyword(s):  
Convergent Sequence ◽  
Sequence Spaces ◽  
Matrix Transformations ◽  
Almost Convergent Sequence

In this paper we introduce $theta_sigma$ conservative and $theta_sigma$-regular matrices and also give matrices transformation from almost convergent sequence spaces into lacunary invariant convergent sequence spaces.

Ideal convergent sequence spaces of fuzzy star–shaped numbers

2021 ◽  
pp. 1-8
Author(s):  
Vakeel A. Khan ◽  
Umme Tuba ◽  
SK. Ashadul Rahama ◽  
Ayaz Ahmad
Keyword(s):  
Fuzzy Sets ◽  
Convergent Sequence ◽  
Sequence Spaces ◽  
Topological Properties ◽  
Natural Numbers

In 1990, Diamond [16] primarily established the base of fuzzy star–shaped sets, an extension of fuzzy sets and numerous of its properties. In this paper, we aim to generalize the convergence induced by an ideal defined on natural numbers ℕ , introduce new sequence spaces of fuzzy star–shaped numbers in ℝ n and examine various algebraic and topological properties of the new corresponding spaces as well. In support of our results, we provide several examples of these new resulting sequences.

scholarly journals Some New Type Sigma Convergent Sequence Spaces and Some New Inequalities

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Kuddusi Kayaduman ◽  
Mehmet Şengönül
Keyword(s):  
Convergent Sequence ◽  
Sequence Spaces ◽  
Null Sequence ◽  
New Type ◽  
New Inequalities

We have discussed some important problems about the spacesV~σandV~0σof Cesàro sigma convergent and Cesàro null sequence.

Sign in / Sign up

Export Citation Format

Share Document