Yazar "Tripathy, Binod Chandra" seçeneğine göre listele

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    Advances in rough ideal convergence within L-fuzzy normed spaces
    (University of Nis, 2026) Hossain, Nesar; Tripathy, Binod Chandra; Esi, Ayhan
    This study introduces and develops the concept of rough ideal convergence for sequences in L-fuzzy normed spaces. Within this framework, it defines the notion of the rough I-limit set and investigates its topological and geometrical properties. The concept of I-boundedness for sequences is also introduced, and its relationship with the rough I-limit set is thoroughly examined. Furthermore, the study defines the rough I-cluster point of a sequence and derives several notable results concerning closed balls and their connection to the rough I-limit set in the context of L-fuzzy normed spaces. © 2026, University of Nis. All rights reserved.
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    STATISTICALLY MONOTONIC SEQUENCES OF BI-COMPLEX NUMBERS
    (Institute of Mathematics, 2025) Bera, Subhajit; Esi, Ayhan; Tripathy, Binod Chandra
    In this article, we have introduced the concepts of statistically monotonic sequences of bi-complex numbers using the two types of partial order relations on the set of bi-complex numbers and have established some results. We have also investigated the concept of statistically monotonic sequence, statistically order convergence and statistically relatively uniform convergence in a bi-complex Riesz space and have studied some of their properties. © (2025), (Institute of Mathematics). All rights reserved.
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    Unveiling Cesaro summability under neutrosophic 2-norms
    (Soc Paranaense Matematica, 2025) Hossain, Nesar; Tripathy, Binod Chandra; Esi, Ayhan
    This paper introduces the concepts of Cesaro summability within the framework of neutrosophic 2-normed spaces (N2-NS). We establish that Cesaro summability does not necessarily imply ordinary convergence with regard to neutrosophic 2-norm, providing a concrete example to illustrate this distinction. In this connection, we prove necessary and sufficient condition for the sequences in N2-NS that their Cesaro summability guarantees ordinary convergence.