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Double sequences of complex uncertain variables associated with multiplier sequences

  • Binod Chandra Tripathy ORCID logo and Debasish Datta ORCID logo EMAIL logo
Published/Copyright: October 2, 2024

Abstract

In this article we introduce the notion of double sequences of complex uncertain variables associated with multiplier sequences. We study their different algebraic and topological properties like solidity, symmetricity, completeness etc.


Communicated by Nikolai Leonenko


References

[1] P. Chandra and B. C. Tripathy, On generalised Köthe–Toeplitz duals of some sequence spaces, Indian J. Pure Appl. Math. 33 (2002), no. 8, 1301–1306. Search in Google Scholar

[2] X. Chen, Y. Ning and X. Wang, Convergence of complex uncertain sequences, J. Intell. Fuzzy Syst. 30 (2016), no. 6, 3357–3366. 10.3233/IFS-152083Search in Google Scholar

[3] B. Das, B. C. Tripathy, P. Debnath and B. Bhattacharya, Almost convergence of complex uncertain double sequences, Filomat 35 (2021), no. 1, 61–78. 10.2298/FIL2101061DSearch in Google Scholar

[4] D. Datta and B. C. Tripathy, Double sequences of complex uncertain variables defined by Orlicz function, New Math. Natural Comput. 16 (2020), no. 3, 541–550. 10.1142/S1793005720500325Search in Google Scholar

[5] P. J. Dowari and B. C. Tripathy, Lacunary difference sequences of complex uncertain variables, Methods Funct. Anal. Topology 26 (2020), no. 4, 327–340. 10.31392/MFAT-npu26_4.2020.04Search in Google Scholar

[6] P. J. Dowari and B. C. Tripathy, Lacunary convergence of sequences of complex uncertain variables, Malays. J. Math. Sci. 15 (2021), no. 1, 91–108. 10.5269/bspm.52688Search in Google Scholar

[7] G. H. Hardy, On the convergence of certain multiple series, Proc. Camb. Phil. Soc. 19 (1917), 86–95. Search in Google Scholar

[8] B. Liu, Uncertainty Theory, Stud. Fuzziness Soft Comput. 154, Springer, Berlin, 2004. 10.1007/978-3-540-39987-2Search in Google Scholar

[9] P. K. Nath and B. C. Tripathy, Statistical convergence of complex uncertain sequences defined by Orlicz function, Proyecciones 39 (2020), no. 2, 301–315. 10.22199/issn.0717-6279-2020-02-0019Search in Google Scholar

[10] A. Pringsheim, Zur Theorie der zweifach unendlichen Zahlenfolgen, Math. Ann. 53 (1900), no. 3, 289–321. 10.1007/BF01448977Search in Google Scholar

[11] B. C. Tripathy and B. Hazarika, I-convergent sequence spaces associated with multiplier sequences, Math. Inequal. Appl. 11 (2008), no. 3, 543–548. 10.7153/mia-11-43Search in Google Scholar

[12] B. C. Tripathy and S. Mahanta, On a class of vector-valued sequences associated with multiplier sequences, Acta Math. Appl. Sin. (Engl. Ser.) 20 (2004), no. 3, 487–494. 10.1007/s10255-004-0186-7Search in Google Scholar

[13] B. C. Tripathy and B. Sarma, Statistically convergent difference double sequence spaces, Acta Math. Sin. (Engl. Ser.) 24 (2008), no. 5, 737–742. 10.1007/s10114-007-6648-0Search in Google Scholar

Received: 2022-06-26
Revised: 2023-11-30
Accepted: 2023-12-01
Published Online: 2024-10-02
Published in Print: 2024-11-01

© 2024 Walter de Gruyter GmbH, Berlin/Boston

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