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SOME SUMMABLE SEQUENCE SPACES DEFINED BY THE WEIGHTED MEAN METHOD AND MODULUS FUNCTIONS
SELMA ALTUNDAG,HEMEN DUTTA 장전수학회 2018 Proceedings of the Jangjeon mathematical society Vol.21 No.2
In this paper, we define the concept of [ N⁻λ, pn, f ] ─ summability, and give the relation between [ N⁻λ, pn] ─ summability and [ N⁻λ, pn, f ] ─ summability. We also study some connections between weighted statistically λ ─ convergence (or SN⁻λ ─ convergence) and [N⁻λ, pn, f ] ─ summability.
JOHN MICHAEL RASSIAS,HEMEN DUTTA,NARASIMMAN PASUPATHI 장전수학회 2019 Proceedings of the Jangjeon mathematical society Vol.22 No.2
The aim of this article is to study the Hyers-Ulam-Rassias stability and generalized Hyers-Ulam-Rassias stability in non-Archimedean Intuitionistic fuzzy normed spaces. The paper introduces a new A- quartic functional equation and obtain solution for the same functional equation. Further, stability problem is investigated for the newly intro- duced A-quartic functional equation in non-Archimedean intuitionistic fuzzy normed spaces.
On Some New Paranormed Difference Sequence Spaces Defined by Orlicz Functions
Tripathy, Binod Chandra,Dutta, Hemen Department of Mathematics 2010 Kyungpook mathematical journal Vol.50 No.1
The main aim of this article is to introduce a new class of sequence spaces using the concept of n-norm and to investigate these spaces for some linear topological structures as well as examine these spaces with respect to derived (n-1)-norm. We use an Orlicz function, a bounded sequence of positive real numbers and some difference operators to construct these spaces so that they become more generalized and some other spaces can be derived under special cases. These investigations will enhance the acceptability of the notion of n-norm by giving a way to construct different sequence spaces with elements in n-normed spaces.