Yazar "Shankar, Hari" seçeneğine göre listele

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    A Study of Triple Sequences Statistical Convergence in Neutrosophic Normed Spaces
    (Univ Craiova, 2024) Shankar, Hari; Ahmad, Ayaz; Esi, Ayhan
    Neutrosophic logic, probability, and sets are all included in this discipline. The generalization of conventional sets, fuzzy sets, intuitionistic fuzzy sets, and other related ideas is the neutrosophic set theory. It is a mathematical concept that deals with situations involving inconsistent, ambiguous, and imprecise data. To fully understand sequence spaces, statistical convergence is a crucial concept. In this particular scientific work, we introduce the notion of statistical convergence for triple sequences in the neutrosophic normed space. In this neutrosophic normed space, we also explore the statistical properties of completeness and triple Cauchy sequences.
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    ANALYZING LACUNARY △m-STATISTICAL CONVERGENCE IN NEUTROSOPHIC NORMED SPACES
    (Amer Inst Mathematical Sciences-Aims, 2026) Shankar, Hari; Ahmad, Ayaz; Chaurasiya, Chandan; Esi, Ayhan
    . This paper explores the notions of lacunary triangle m-statistical convergence, lacunary triangle m-statistical Cauchy sequences, and lacunary strongly triangle m-convergence within the framework of neutrosophic normed linear spaces (NNLS). We establish the uniqueness of limit and certain algebraic properties of lacunary triangle m-statistical convergence in NNLS, offering a rigorous foundation for these concepts. Additionally, we introduce the concept of strong Ces & aacute;ro summability in NNLS and conduct an in-depth analysis of its properties. The connections between lacunary strong triangle m-convergence and Ces & aacute;ro summability are also examined, revealing significant interrelationships between these two convergence methods.
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    Exploring Bounded Linear Operators in Neutrosophic Normed Linear Spaces
    (Tsinghua Univ Press, 2025) Chaurasiya, Chandan; Ahmad, Ayaz; Shankar, Hari; Esi, Ayhan
    This study focuses on analyzing the convergence of the product of sequences and investigating the Cauchy sequences under specific conditions within neutrosophic normed linear spaces (NNLS). Additionally, we define various types of bounded linear operators (both strong and weak) that constitute a linear space, and we explore the concept of neutrosophic compact linear operators.
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    λ-Statistical Pointwise and Uniform Convergence of Sequences of Functions on Neutrosophic Normed Spaces
    (Univ Maragheh, 2025) Shankar, Hari; Ahmad, Ayaz; Chaurasiya, Chandan; Esi, Ayhan
    This insightful article examines the A-statistical convergence of function sequences within neutrosophic norm spaces. It introduces novel concepts such as A-statistical pointwise convergence and A-statistical uniform convergence specifically tailored for neutrosophic norm spaces, representing a notable advancement in the field. The article elucidates the foundational properties of these innovative concepts, offering valuable insights into their theoretical foundations and practical applications.