scholarly journals Some Results on Strongly Cesáro Ideal Convergent Sequence Spaces

2020 ◽  
Vol 2020 ◽  
pp. 1-4
Author(s):  
Mohammad Faisal Khan
Keyword(s):  
Convergent Sequence ◽  
Sequence Spaces ◽  
Inclusion Relations ◽  
Algebraic Properties

Some algebraic properties of Cesáro ideal convergent sequence spaces, C I and C 0 I , are studied in this article and some inclusion relations on these spaces are established.

Almost strongly Orlicz double sequence spaces of regular matrices and their applications to statistical convergence

2018 ◽  
Vol 11 (05) ◽  
pp. 1850073 ◽  
Author(s):  
Kuldip Raj ◽  
Anu Choudhary ◽  
Charu Sharma
Keyword(s):  
Statistical Convergence ◽  
Orlicz Function ◽  
Double Sequence ◽  
Convergent Sequence ◽  
Sequence Spaces ◽  
Regular Matrix ◽  
Normed Spaces ◽  
Double Sequence Spaces ◽  
Inclusion Relations ◽  
Algebraic Properties

In this paper, we introduce and study some strongly almost convergent double sequence spaces by Riesz mean associated with four-dimensional bounded regular matrix and a Musielak–Orlicz function over [Formula: see text]-normed spaces. We make an effort to study some topological and algebraic properties of these sequence spaces. We also study some inclusion relations between the spaces. Finally, we establish some relation between weighted lacunary statistical sequence spaces and Riesz lacunary almost statistical convergent sequence spaces over [Formula: see text]-normed spaces.

scholarly journals On statistical convergent sequence spaces of intuitionistic Fuzzy numbers

2018 ◽  
Vol 36 (1) ◽  
pp. 235 ◽  
Author(s):  
Shyamal Debnath ◽  
Vishnu Narayan Mishra ◽  
Jayanta Debnath
Keyword(s):  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Convergent Sequence ◽  
Sequence Spaces ◽  
Topological Properties ◽  
Intuitionistic Fuzzy Number ◽  
Intuitionistic Fuzzy Numbers ◽  
Intuitionistic Fuzzy ◽  
Inclusion Relations ◽  
Bounded Sequences

In the present paper we introduce the classes of sequence stcIFN, stc0IFN and st∞IFN of statistically convergent, statistically null and statistically bounded sequences of intuitionistic fuzzy number based on the newly defined metric on the space of all intuitionistic fuzzy numbers (IFNs). We study some algebraic and topological properties of these spaces and prove some inclusion relations too.

scholarly journals A study of Nörlund ideal convergent sequence spaces

2020 ◽  
pp. 44-44
Author(s):  
Vakeel Khan ◽  
Sameera Abdullah ◽  
Kamal Alshlool
Keyword(s):  
Sequence Space ◽  
Convergent Sequence ◽  
Sequence Spaces ◽  
Ideal Convergence ◽  
Algebraic Properties

The N?rlund matrix Nt in the theory of sequence space was firstly used by Wang. In this paper, by using the N?rlund mean Nt and the notion of ideal convergence, we introduce some new sequence spaces cI 0(Nt), cI (Nt), and `I 1(Nt) as a domain of N?rlund mean. We study some topological and algebraic properties on these spaces. Further, some inclusion concerning these spaces are discussed.

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.

scholarly journals On Some I-Convergent Double Sequence Spaces of Fuzzy Real Numbers Defined by Modulus Function

2015 ◽  
Vol 55 (1) ◽  
pp. 19-28
Author(s):  
Manmohan Das
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Modulus Function ◽  
Real Numbers ◽  
Double Sequence Spaces ◽  
Inclusion Relations ◽  
Algebraic Properties ◽  
Fuzzy Real Numbers

Abstract In this article our aim to introduce some new I-convergent double sequence spaces of fuzzy real numbers defined by modulus function and studies their some topological and algebraic properties. Also we establish some inclusion relations.

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 On some spaces of Cesàro sequences of fuzzy numbers associated with λ-convergence and Orlicz function

2019 ◽  
Vol 11 (1) ◽  
pp. 156-171
Author(s):  
K. Raj ◽  
S. Pandoh
Keyword(s):  
Fuzzy Numbers ◽  
Orlicz Function ◽  
Sequence Spaces ◽  
Real Numbers ◽  
Inclusion Relations ◽  
Algebraic Properties ◽  
Fuzzy Real Numbers ◽  
Sequences Of Fuzzy Numbers

Abstract In the present paper we shall introduce some generalized difference Cesàro sequence spaces of fuzzy real numbers defined by Musielak-Orlicz function and -convergence. We make an e ort to study some topological and algebraic properties of these sequence spaces. Furthermore, some inclusion relations between these sequence spaces are establish.

scholarly journals A Study of Fuzzy Sequence Spaces

2022 ◽  
Author(s):  
Vakeel A. Khan ◽  
Mobeen Ahmad ◽  
Masood Alam
Keyword(s):  
Real Number ◽  
Compact Operator ◽  
Sequence Spaces ◽  
Ideal Convergence ◽  
Inclusion Relations ◽  
Algebraic Properties ◽  
Convergence Sequence

The purpose of this chapter is to introduce and study some new ideal convergence sequence spaces FSJθT, FS0JθT and FS∞JθT on a fuzzy real number F defined by a compact operator T. We investigate algebraic properties like linearity, solidness and monotinicity with some important examples. Further, we also analyze closedness of the subspace and inclusion relations on the said spaces.

scholarly journals On Zweier generalized difference ideal convergent sequences in a locally convex space defined by Musielak-Orlicz function

2017 ◽  
Vol 35 (2) ◽  
pp. 19 ◽  
Author(s):  
Bipan Hazarika ◽  
Karan Tamanag
Keyword(s):  
Orlicz Function ◽  
Convergent Sequence ◽  
Locally Convex Space ◽  
Sequence Spaces ◽  
Infinite Matrix ◽  
Difference Matrix ◽  
New Class ◽  
Algebraic Properties ◽  
Locally Convex ◽  
Convergent Sequences

Let $\mathbf{M}=(M_k)$ be a Musielak-Orlicz function. In this article, we introduce a new class of ideal convergent sequence spaces defined by Musielak-Orlicz function, using an infinite matrix, and a generalized difference matrix operator $B_{(i)}^{p}$ in locally convex spaces. We investigate some linear topological structures and algebraic properties of these spaces. We obtainsome relations related to these sequence spaces.

Paranorm I-convergent sequence spaces

2009 ◽  
Vol 59 (4) ◽  
Author(s):  
Biond Tripathy ◽  
Bipan Hazarika
Keyword(s):  
Convergent Sequence ◽  
Decomposition Theorem ◽  
Sequence Spaces ◽  
Topological Properties ◽  
Real Numbers ◽  
Positive Real ◽  
Inclusion Relations

AbstractIn this article we introduced the sequence spaces c I(p), c 0I(p), m I(p) and m 0I(p) for p = (p k), a sequence of positive real numbers. We study some algebraic and topological properties of these spaces. We prove the decomposition theorem and obtain some inclusion relations.

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