Results 11 to 20 of about 133,611 (249)
Weakly unconditionally Cauchy series and Fibonacci sequence spaces
We study new sequence spaces associated to sequences in normed spaces and the band matrix F̂ defined by the Fibonacci sequence. We give some characterizations of continuous linear operators and weakly unconditionally Cauchy series by means of ...
Ramazan Kama, Bilal Altay
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Statistical quasi-Cauchy sequences
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Huseyin Cakalli
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I2-convergence and I2-cauchy double sequences
Abstract In this article, we prove a decomposition theorem for I 2 -convergent double sequences and introduce the notions of I 2 -Cauchy and I * 2 )-Cauchy double sequence, and then study their certain properties. Finally, we introduce the notions of regularly ( I 2 , I )-convergence and ( I 2 , I )-Cauchy double sequence.
Dündar, Erdinç, Altay, Bilal
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On Statistical Convergence of Order α in Neutrosophic Normed Spaces [PDF]
In this paper, we introduce the notion of statistical convergent of order α in the neutrosophic normed spaces. We investigate a few properties of the newly introduced notion and examine the relationship with statistical convergence in the neutrosophic ...
Shyamal Debnath +3 more
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Ideal convergence and ideal Cauchy sequences in intuitionistic fuzzy metric spaces [PDF]
The present study introduces the concepts of ideal convergence (I-convergence), ideal Cauchy (I-Cauchy) sequences, I *-convergence, and I *-Cauchy sequences in intuitionistic fuzzy metric spaces.
Or Aykut, Karabacak Gökay
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In this study, we investigate the notions of the Wijsman ℐ2-statistical convergence, Wijsman ℐ2-lacunary statistical convergence, Wijsman strongly ℐ2-lacunary convergence, and Wijsman strongly ℐ2-Cesàro convergence of double sequence of sets in the ...
Ömer Kişi
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Regularly ideal invariant convergence of double sequences
In this paper, we introduce the notions of regularly invariant convergence, regularly strongly invariant convergence, regularly p-strongly invariant convergence, regularly ( I σ , I 2 σ ) $(\mathcal{I}_{\sigma },\mathcal{I}^{\sigma }_{2})$ -convergence ...
Nimet Pancaroǧlu Akın
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Quasi Cauchy double sequences [PDF]
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Patterson, Richard F., Cakalli, Huseyin
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Some Results on Wijsman Ideal Convergence in Intuitionistic Fuzzy Metric Spaces
In the present work, we study and extend the notion of Wijsman J–convergence and Wijsman J∗–convergence for the sequence of closed sets in a more general setting, i.e., in the intuitionistic fuzzy metric spaces (briefly, IFMS).
Ayhan Esi +3 more
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Quasi-invariance of countable products of Cauchy measures under non-unitary dilations [PDF]
Consider an infinite sequence (Un)n∈N of independent Cauchy random variables, defined by a sequence (δn)n∈N of location parameters and a sequence (γn)n∈N of scale parameters. Let (Wn)n∈N be another infinite sequence of independent Cauchy random variables
Lie, Han Cheng, Sullivan, T. J.
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