Results 1 to 10 of about 5,067 (215)
Weakly unconditionally Cauchy series and Fibonacci sequence spaces
Journal of Inequalities and Applications, 2017 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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Infinitesimals via Cauchy sequences: Refining the classical equivalence
Open Mathematics, 2021 A refinement of the classic equivalence relation among Cauchy sequences yields a useful infinitesimal-enriched number system. Such an approach can be seen as formalizing Cauchy’s sentiment that a null sequence “becomes” an infinitesimal.
Bottazzi Emanuele, Katz Mikhail G.
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A new type of difference I-convergent sequence in IFnNS [PDF]
Yugoslav Journal of Operations Research, 2023 In this paper, we introduce the notion of a generalized difference I-convergent (i.e.Δm-I-convergent) and difference I-Cauchy (i.e.Δm-I-Cauchy) sequence in intuitionistic fuzzy n-normed spaces. Further, we prove some results related to this notion. Also,
Khan Vakeel A. +2 more
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On Lacunary $\mathcal{I}_2^{\ast }$-Convergence and Lacunary $\mathcal{I}_2^{\ast }$-Cauchy Sequence
Communications in Advanced Mathematical Sciences, 2023 In the study conducted here, we have given some new concepts in summability. In this sense, firstly, we have given the concept of lacunary $\mathcal{I}_2^{\ast}$-convergence and we have investigated the relations between lacunary $\mathcal{I}_2 ...
Nimet Pancaroğlu Akın, Erdinç Dündar
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Universal Journal of Mathematics and Applications, 2023 In the study conducted here, we have given some new concepts in summability theory. In this sense, firstly, using the lacunary sequence we have given the concept of strongly $\mathcal{I}_{\theta_2}^{\ast}$-convergence and we have examined the relations ...
Esra Gülle +2 more
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Universal Journal of Mathematics and Applications, 2023 In this paper, firstly we introduced the concepts of rough $\mathcal{I}$-convergence, rough $\mathcal{I}^*$-convergence, rough $\mathcal{I}$-Cauchy sequence, and rough $\mathcal{I}^*$-Cauchy sequence of a function defined on discrete countable amenable ...
Erdinç Dündar, Uğur Ulusu
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Neutrosophic 2−normed spaces and generalized summability [PDF]
Neutrosophic Sets and Systems, 2023 The aim of present paper is to introduce the concept of neutrosophic 2−norm space ( briefly abbreviated as N −2−NS) and study statistical summability in these spaces.
Sajid Murtaza +2 more
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On statistically convergent complex uncertain sequences
Karpatsʹkì Matematičnì Publìkacìï, 2022 In this paper, we extend the study of statistical convergence of complex uncertain sequences in a given uncertainty space. We produce the relation between convergence and statistical convergence in an uncertain environment. We also initiate statistically
B. Das, P. Debnath, B.C. Tripathy
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On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, we introduce the notion of deferred statistical convergence in the neutrosophic normed spaces as an extension of statistical convergence, $\lambda$-statistical convergence, and lacunary statistical convergence.
Shyamal Debnath +2 more
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A STUDY ON SOME FUNDAMENTAL CHARACTERISTICS OF SEQUENCES OF SOFT REAL NUMBERS [PDF]
Acta Scientifica Malaysia, 2018 The main aim of this article is to discuss soft limit, convergent sequences, Soft boundedness, and Soft convergent. Divergent criterion. Soft monotone sequences, Soft squeezness, Soft Cauchy Sequence, Soft Cauchy boundedness and Soft Cauchy first and ...
Arif Mehmood Khattak +2 more
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