Difference double sequence of complex uncertain variables defined by Orlicz function

In this paper, we introduce the difference double sequence of complex uncertain variables defined by Orlicz function. We study some of their properties like solidness, symmetricity, and completeness and prove some inclusion results.

On double sequence spaces defined by an Orlicz function on a seminormed space

Filomat ◽

10.2298/fil1603631s ◽

2016 ◽

Vol 30 (3) ◽

pp. 631-638 ◽

Author(s):

Ekrem Savaş ◽

Eren Savaş

Keyword(s):

Sequence Space ◽

Orlicz Function ◽

Double Sequence ◽

Sequence Spaces ◽

Double Sequence Spaces ◽

Double Sequence Space ◽

Seminormed Space ◽

In this paper we introduce and study the double sequence space m''(M,?,q) by using the Orlicz function M. Also we obtain some inclusion results involving the space m''(M,?,q).

Double Sequences of Complex Uncertain Variables Defined by Orlicz Function

New Mathematics and Natural Computation ◽

10.1142/s1793005720500325 ◽

2020 ◽

Vol 16 (03) ◽

pp. 541-550

Author(s):

Debasish Datta ◽

Binod Chandra Tripathy

Keyword(s):

Orlicz Function ◽

Double Sequences ◽

Uncertain Variables ◽

In this paper, we introduce double sequences of complex uncertain variables defined by Orlicz function. We study some of their properties like solidness, symmetricity, completeness, etc. and prove some inclusion results.

Vector valued double sequence spaces defined by Orlicz function

Mathematica Slovaca ◽

10.2478/s12175-009-0162-z ◽

2009 ◽

Vol 59 (6) ◽

Cited By ~ 28

Author(s):

Binod Tripathy ◽

Bipul Sarma

Keyword(s):

Orlicz Function ◽

Double Sequence ◽

Sequence Spaces ◽

Double Sequence Spaces ◽

Vector Valued ◽

AbstractIn this article we introduce some vector valued double sequence spaces defined by Orlicz function. We study some of their properties like solidness, symmetricity, completeness etc. and prove some inclusion results.

Λ-strongly summable sequence spaces in n-normed spaces defined by ideal convergence and an Orlicz function

Mathematica Slovaca ◽

10.2478/s12175-013-0137-y ◽

2013 ◽

Vol 63 (4) ◽

Cited By ~ 2

Author(s):

Ayhan Esi ◽

M. Kemal Özdemir

Keyword(s):

Orlicz Function ◽

Sequence Spaces ◽

Normed Spaces ◽

Ideal Convergence ◽

Summable Sequence ◽

AbstractIn this paper we introduce some certain new sequence spaces via ideal convergence, λ-sequence and an Orlicz function in n-normed spaces and study different properties of these spaces and also establish some inclusion results among them.

On paranorm BVσ I-convergent double sequence spaces defined by an Orlicz function

Analysis ◽

10.1515/anly-2017-0004 ◽

2017 ◽

Vol 37 (3) ◽

Author(s):

Vakeel A. Khan ◽

Hira Fatima ◽

Sameera A. A. Abdullah ◽

Kamal M. A. S. Alshlool

Keyword(s):

Orlicz Function ◽

Double Sequence ◽

Sequence Spaces ◽

Double Sequence Spaces

AbstractThe space

Some Classes of Difference Double Sequence Spaces of Fuzzy Real Numbers Defined by Double Orlicz Function

Journal of Advanced Research in Dynamical and Control Systems ◽

10.5373/jardcs/v12i1/20201039 ◽

2020 ◽

Vol 12 (1) ◽

pp. 270-277

Author(s):

Leena Abed Muslim Kadhim

Keyword(s):

Orlicz Function ◽

Double Sequence ◽

Sequence Spaces ◽

Real Numbers ◽

Double Sequence Spaces ◽

Fuzzy Real Numbers

On Some New Difference Double Sequence Spaces Via Orlicz Function

Journal of Advanced Studies in Topology ◽

10.20454/jast.2011.222 ◽

2011 ◽

Vol 2 (2) ◽

pp. 16 ◽

Author(s):

Ayhan Esi

Keyword(s):

Orlicz Function ◽

Double Sequence ◽

Sequence Spaces ◽

Double Sequence Spaces

Non Linear Difference Equation of Orlicz Type

Journal of Computational and Theoretical Nanoscience ◽

10.1166/jctn.2017.6321 ◽

2017 ◽

Vol 14 (1) ◽

pp. 306-313

Author(s):

Awad. A Bakery ◽

Afaf. R. Abou Elmatty

Keyword(s):

Difference Equation ◽

Equilibrium Point ◽

Positive Solution ◽

Orlicz Function ◽

Sufficient Conditions ◽

Linear Difference Equation ◽

Asymptotically Stable ◽

Globally Asymptotically Stable ◽

Numerical Examples ◽

The Difference

We give here the sufficient conditions on the positive solutions of the difference equation xn+1 = α+M((xn−1)/xn), n = 0, 1, …, where M is an Orlicz function, α∈ (0, ∞) with arbitrary positive initials x−1, x0 to be bounded, α-convergent and the equilibrium point to be globally asymptotically stable. Finally we present the condition for which every positive solution converges to a prime two periodic solution. Our results coincide with that known for the cases M(x) = x in Ref. [3] and M(x) = xk, where k ∈ (0, ∞) in Ref. [7]. We have given the solution of open problem proposed in Ref. [7] about the existence of the positive solution which eventually alternates above and below equilibrium and converges to the equilibrium point. Some numerical examples with figures will be given to show our results.

Some New Double-Sequence Spaces in 2-Normed Spaces Defined by Ideal Convergence and an Orlicz Function

ISRN Mathematical Analysis ◽

10.5402/2012/524962 ◽

2012 ◽

Vol 2012 ◽

pp. 1-11 ◽

Author(s):

Orhan Tug ◽

Mutlay Dogan ◽

Abdullah Kurudirek

Keyword(s):

Orlicz Function ◽

Double Sequence ◽

Sequence Spaces ◽

Difference Sequence ◽

Topological Properties ◽

Normed Spaces ◽

Ideal Convergence ◽

Double Sequence Spaces ◽

Difference Sequence Spaces

We generalize some sequence spaces from single to double, we study some topological properties of these double sequence spaces by using ideal convergence, difference sequence spaces, and an Orlicz function in 2-normed spaces, and we give some results related to these sequence spaces.

Some Double Sequence Spaces of Fuzzy Real Numbers of Paranormed Type

Journal of Mathematics ◽

10.1155/2013/627047 ◽

2013 ◽

Vol 2013 ◽

pp. 1-4

Author(s):

Bipul Sarma

Keyword(s):

Double Sequence ◽

Sequence Spaces ◽

Real Numbers ◽

Double Sequence Spaces ◽

Fuzzy Real Numbers ◽

Sequence Algebra ◽

We study different properties of convergent, null, and bounded double sequence spaces of fuzzy real numbers like completeness, solidness, sequence algebra, symmetricity, convergence-free, and so forth. We prove some inclusion results too.