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Title

On generalized Orlicz sequence spaces defined by double sequences

Authors

Year of publication

2015

Published in

Fasciculi Mathematici

Journal year: 2015 | Journal number: nr 55

Article type

scientific article

Publication language

english

Keywords
EN
  • double sequence
  • F-seminorm
  • matrix method
  • modulus function
  • Orlicz function
  • paranorm φ-function
  • sequence space
  • SM method
  • strong summability
Abstract

EN S.D. Parashar and B. Choudhary defined in 1994 certain paranorms for some Orlicz sequence spaces. Their ideas are applied later for topologization of various generalized Orlicz sequence spaces. The author determines in 2011 some alternative F-seminorms (which are also paranorms) for such spaces. In this paper these results are extended to generalized Orlicz sequence spaces defined via double sequences.

Pages (from - to)

65 - 80

DOI

10.1515/fascmath-2015-0015

License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

Full text of article

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public

Ministry points / journal

10

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