Honam Mathematical Journal (호남수학학술지)

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ORLICZ SEQUENCE SPACES OF FOUR DIMENSIONAL REGULAR MATRIX AND THEIR CLOSED IDEAL

  • Raj, Kuldip (School of Mathematics, Shri Mata Vaishno Devi University) ;
  • Pandoh, Suruchi (School of Mathematics, Shri Mata Vaishno Devi University) ;
  • Choudhary, Anu (School of Mathematics, Shri Mata Vaishno Devi University)
  • Received : 2019.02.05
  • Accepted : 2019.05.23
  • Published : 2019.12.25
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Abstract

In this paper we introduce some new types of double difference sequence spaces defined by a new definition of convergence of double sequences and a double series with the help of sequence of Orlicz functions and a four dimensional bounded regular matrices A = (artkl). We also make an effort to study some topological properties and inclusion relations between these sequence spaces. Finally, we compute the closed ideals in the space 𝑙2∞.

Keywords

Acknowledgement

Supported by : Council of Scientific and Industrial Research (CSIR)

The corresponding author thanks Council of Scientific and Industrial Research (CSIR), India for partial support under Grant No. 25(0288)/18/EMR-II, dated 24/05/2018.

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