• 제목/요약/키워드: I-convergent double sequence spaces

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Paranormed I-convergent Double Sequence Spaces Associated with Multiplier Sequences

  • Tripathy, Binod Chandra;Sen, Mausumi
    • Kyungpook Mathematical Journal
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    • 제54권2호
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    • pp.321-332
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    • 2014
  • In this article we introduce different types of multiplier I-convergent double sequence spaces. We study their different algebraic and topological properties like solidity, symmetricity, completeness etc. The decomposition theorem is established and some inclusion results are proved.

On I-Convergent Double Sequences of Fuzzy Real Numbers

  • Tripathy, Binod Chandra;Sarma, Bipul
    • Kyungpook Mathematical Journal
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    • 제52권2호
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    • pp.189-200
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    • 2012
  • In this article we introduce the class of I-convergent double sequences of fuzzy real numbers. We have studied different properties like solidness, symmetricity, monotone, sequence algebra etc. We prove that the class of I-convergent double sequences of fuzzy real numbers is a complete metric spaces.

RIESZ TRIPLE ALMOST LACUNARY χ3 SEQUENCE SPACES DEFINED BY A ORLICZ FUNCTION-I

  • SUBRAMANIAN, N.;Esi, Ayhan;AIYUB, M.
    • Journal of applied mathematics & informatics
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    • 제37권1_2호
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    • pp.37-52
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    • 2019
  • In this paper we introduce a new concept for Riesz almost lacunary ${\chi}^3$ sequence spaces strong P - convergent to zero with respect to an Orlicz function and examine some properties of the resulting sequence spaces. We introduce and study statistical convergence of Riesz almost lacunary ${\chi}^3$ sequence spaces and some inclusion theorems are discussed.