convergent sequence
Some generalized difference statistically convergent sequence spaces in 2 normed space
... () Since the sequence x = θ belongs to each of the sequence spaces, the overlapping part of the proof is obvious. For the other part of the proof, consider the sequence defined by (.) and the ...
10
Some vector-valued statistical convergent sequence spaces
... vector-valued sequence spaces was exploited by Kamthan [11], Ratha and Srivastava [18], Leonard [14], Gupta [9], Tripathy and Sen [26] and many ...on sequence spaces was extended on introducing the notion ...
7
On Generalized Paranormed Statistically Convergent Sequence Spaces Defined by Orlicz Function
... statistically convergent, statistically null, bounded, bounded statistically convergent, and bounded statistically null X-valued sequence spaces throughout the paper, where X, q is a seminormed ...
13
I- convergent sequence spaces of fuzzy real numbers defined by sequence of modulus functions
... The notion of fuzzy sets was introduced by Zadeh [16]. After that many authors have studied and generalized this notion in many ways, due to the potential of the introduced notion. Also it has wide range of applications ...
12
Some geometric properties of a new modular space defined by Zweier operator
... A Banach space X is said to satisfy the weak fixed point property if every nonempty weakly compact convex subset C and every nonexpansive mapping T : C → C(Tx–Ty ≤ x – y, ∀x, y ∈ C) have a fixed point, that is, there ...
10
On some AI convergent difference sequence spaces of fuzzy numbers defined by the sequence of Orlicz functions
... and convergent sequences of fuzzy numbers, studied some of their properties, and showed that every convergent sequence of fuzzy numbers is ...all convergent sequences of fuzzy numbers forms a ...
13
Analogues of some fundamental theorems of summability theory
... double sequence spaces and consider the behavior of 4-dimensional matrix transfor- mations on our new ...P-convergent sequence (defined below) into a P-convergent sequence with the same ...
9
Necessary and sufficient conditions under which convergence follows from summability by weighted means
... It is well known that condition (1.1) is necessary and sufficient that every convergent sequence is summable ( N, p) ¯ to the same limit, that is, the weighted mean method in question is regular. We are ...
8
Fibonacci statistical convergence and Korovkin type approximation theorems
... Cauchy sequence and investigate the Fibonacci statistically convergent sequences and Fibonacci statistically Cauchy ...statistically convergent sequence spaces of real numbers is a closed ...
15
Strong convergence and bounded perturbation resilience of a modified proximal gradient algorithm
... the sequence generated by (5) converges weakly to a solution of (1), the viscosity method can convert a weakly convergent sequence to a strongly conver- gent one, and that the applied widely ...
15
On some properties of new paranormed sequence space defined by λ2 convergent sequences
... the sequence x is said to be A-summable to a ∈ C if Ax converges to a which is called the A-limit of ...every sequence x ∈ X the A-transform of x exists and is in Y ...
10
On uniform Kadec Klee properties and rotundity in generalized Cesàro sequence spaces
... We consider the generalized Cesàro sequence spaces defined by Suantai (2003) and consider it equipped with the Amemiya norm. The main purpose of this paper is to show that ces (p) equipped with the Amemiya norm is ...
7
Almost boundedness and matrix transformation
... $% " ∈ # , where # is a Banach space of ℓ " consisting of convergent sequences, then . = lim is a trivial example. Besides this there also exists non-convergent sequences satisfying this property. ...
6
Intuitionistic fuzzy I convergent Fibonacci difference sequence spaces
... using Fibonacci difference matrix F. We studied certain elementary properties and topo- ˆ logical properties like linearity, first countability, hausdorfness. These results will give new approach to deal with the problems ...
7
Some Result Zweier I-Convergent triple sequence spaces defined by the double Orlicz functions
... triple sequence (real or complex ) can be defined as a function where denote the sets of natural numbers, real numbers and complex numbers respectively [3] [1] ...
5
Application of f lacunary statistical convergence to approximation theorems
... a sequence of positive linear operators converges uniformly to the function to be ...the sequence (L n ) of positive linear operators to the continuous function g on the ...
25