double sequences
Rough \({I} {2}\) lacunary statistical convergence of double sequences
... The idea of I-convergence was introduced by Kostyrko et al. [6] as a generalization of statistical convergence which is based on the structure of the ideal I of subset of the set of natural numbers. Kostyrko et al. [7] ...
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Generalized spaces of double sequences for Orlicz functions and bounded regular matrices over n normed spaces
... of double sequences for RH-regular four-dimensional matrices and Orlicz functions and also established some interesting re- ...paranormed double difference sequence spaces for four-dimensional ...
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Lacunary statistical convergence of double sequences in topological groups
... of double sequences have seen rapid growth. The concept of double statistical convergence, for the complex case, was introduced by Mursaleen and Edely [] and others, while the idea of statistical ...
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f asymptotically lacunary ideal equivalence of double sequences
... The idea of I -convergence was introduced by Kostyrko, ˘Salát, and Wilczyński [20] as a generalization of statistical convergence. Das et al. [4] introduced the concept of I - convergence of double ...
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Statistical Convergence of Double Sequences on Probabilistic Normed Spaces
... In this paper, we obtained results on statistical convergence for double sequences on prob- abilistic normed spaces. As every ordinary norm induces a probabilistic norm, the ob- tained results here are more ...
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Summability of double sequences by weighted mean methods and Tauberian conditions for convergence in Pringsheim's sense
... ordinary sequences of numbers, we con- sider summability of double sequences of real or complex numbers by weighted mean meth- ods which are not necessarily products of related weighted mean methods ...
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Ideal convergence of double sequences in random 2 normed spaces
... Quite recently, Alotaibi and Mohiuddine (Adv. Differ. Equ. 2012:39, 2012) studied the idea of a random 2-normed space to determine some stability results concerning the cubic functional equation. In this paper, we define ...
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Rough I2-Lacunary Statistical Convergence of Double Sequences
... Abstract: In this paper, we introduce and study the notion of rough I 2 -lacunary statistical convergence of double sequences in normed linear spaces1. We also introduce the[r] ...
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Rate preservation of double sequences under l l type transformation
... ordinary sequences, we present a notion of rates preservation of divergent double sequences under l-l type ...equivalent double sequences, are used to present neces- sary and sufficient ...
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The riesz convergence and riesz core of double sequences
... convergent sequences. Since a Riesz convergent double sequence need not be bounded, by c 2, R ∞ we will denote the set of all bounded and Riesz convergent double ...all double sequences ...
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Rough $I$-statistical convergence of double sequences in normed linear spaces
... a double sequence was first introduced by Belen ...of double sequences in normed linear ...a double sequence and discuss about some topological properties of this ...
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\(f {(\lambda,\mu)}\) statistical convergence of order α̃ for double sequences
... Aizpuru et al. [] introduced and discussed the concepts of f -statistical convergence and f -statistically Cauchy sequences, a single sequence of numbers, where f is an un- bounded modulus function. Bhardwaj and ...
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On Statistically Convergent Double Sequences of Fuzzy Numbers
... convergent sequences of fuzzy ...of sequences of fuzzy numbers, and they showed that Nuray’s conditions are suf- ficient as well as ...discussed double convergent sequence of fuzzy numbers and showed ...
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Characterization of Core and Absolute Equivalence of Double Sequences
... a double sequence was introduced by Patterson as the closed interval P −lim inf x, P −lim sup x in 4, where the definitions of P −lim inf x Pringsheim limit inferior and P −lim sup x Pringsheim limit superior are ...
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Double sequence spaces over n normed spaces defined by a sequence of Orlicz functions
... on double sequences is found in Bromwich ...cal double sequence spaces and the theory of summability of double ...for double se- quences and applied these matrices to establish core ...
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Statistical limit superior and limit inferior in intuitionistic fuzzy normed spaces
... for double sequences in ...single sequences has been studied in [10,11]; and for double sequences by Mursaleen and Mohiuddine ...
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On two valued measure and double statistical convergence in 2 normed spaces
... for double sequences in -normed spaces using a two-valued measure and also prove some interesting theo- ...generalized double difference sequences and a two-valued measure ...
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Analogues of some fundamental theorems of summability theory
... for double sequences and 4-dimensional RH-regular matrices that is analo- gous to Steinhaus’ ...convergent sequences by: a sequence x is convergent if and only if there exists a regular matrix A ...
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Statistically Convergent Double Sequence Spaces in 2 Normed Spaces Defined by Orlicz Function
... In this paper, we study convergence of double sequence spaces in 2-normed spaces and obtained a criteria for double sequences in 2normed spaces to be statistically Cauchy sequence in 2-n[r] ...
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1. Norlund space of double entire sequences
... for double sequences and applied these matri- ces to establish a core theorem and introduced the M − core for double sequences and determined those four dimensional matrices transforming every ...
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