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Problemy Analiza — Issues of Analysis, 2023, Volume 12(30), Issue 2, Pages 3–16
DOI: https://doi.org/10.15393/j3.art.2023.13090
(Mi pa372)
 

This article is cited in 5 scientific papers (total in 5 papers)

Statistical bounded sequences of bi-complex numbers

S. Bera, B. Ch. Tripathy

Department of Mathematics, Tripura University, Suryamaninagar, Agartala-799022, Tripura(W), India
References:
Abstract: In this paper, we extend statistical bounded sequences of real or complex numbers to the setting of sequences of bi-complex numbers. We define the statistical bounded sequence space of bi-complex numbers bb and also define the statistical bounded sequence spaces of ideals I1 and I2. We prove some inclusion relations and provide examples. We establish that b is the direct sum of I1 and I2. Also, we prove the decomposition theorem for statistical bounded sequences of bi-complex numbers. Finally, summability properties in the light of J.A. Fridy's work are studied.
Keywords: natural density, bi-complex, statistical bounded, norm.
Received: 08.01.2023
Revised: 21.05.2023
Accepted: 12.05.2023
Document Type: Article
UDC: 517.521
MSC: 40A35, 40G15, 46A45
Language: English
Citation: S. Bera, B. Ch. Tripathy, “Statistical bounded sequences of bi-complex numbers”, Probl. Anal. Issues Anal., 12(30):2 (2023), 3–16
Citation in format AMSBIB
\Bibitem{BerTri23}
\by S.~Bera, B.~Ch.~Tripathy
\paper Statistical bounded sequences of bi-complex numbers
\jour Probl. Anal. Issues Anal.
\yr 2023
\vol 12(30)
\issue 2
\pages 3--16
\mathnet{http://mi.mathnet.ru/pa372}
\crossref{https://doi.org/10.15393/j3.art.2023.13090}
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  • https://www.mathnet.ru/eng/pa372
  • https://www.mathnet.ru/eng/pa/v30/i2/p3
  • This publication is cited in the following 5 articles:
    1. Nilay Değirmen, Birsen Sağ{\i}r, “A note on Köthe–Toeplitz duals and multiplier spaces of sequence spaces involving bicomplex numbers”, Journal of Applied Analysis, 2024  crossref
    2. Subhajit Bera, Binod Chandra Tripathy, “Statistically convergent difference sequences of bi-complex numbers”, Journal of Applied Analysis, 2024  crossref
    3. Tapasi Deb, Binod Chandra Tripathy, “ℐ-monotonic convergence of sequences of bi-complex numbers”, Journal of Applied Analysis, 2024  crossref
    4. Sujeet Kumar, Binod Chandra Tripathy, “DIFFERENCE DOUBLE SEQUENCES OF BI-COMPLEX NUMBERS”, AnnalsARSciMath, 16:2 (2024), 135  crossref
    5. J. Hossain, S. Debnath, “On $\mathcal{I}^{\mathcal{K}}$-convergence of sequences of bi-complex numbers”, Probl. anal. Issues Anal., 13(31):3 (2024), 43–55  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Problemy Analiza — Issues of Analysis
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