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  2. Scientific Studies and Research. Series Mathematics and Informatics
  3. Volume 23, No. 2 (2013)
  4. 4056

SEQUENCE SPACES DEFINED BY A SEQUENCE OF MODULUS FUNCTIONS

KULDIP RAJ(1) and AJAY K. SHARMA(2)

1. School of Mathematics, Shri Mata Vaishno Devi University, Katra 182320, J&K, INDIA
kuldipraj68@gmail.com
2. School of Mathematics, Shri Mata Vaishno Devi University, Katra 182320, J&K, INDIA
aksju_76@yahoo.com

Abstract

In the present paper we introduce some new sequence spaces defined by a sequence of modulus functions F=(f_{k}). We study some topological properties and inclusion relations between these spaces.

Keywords

paranorm space difference sequence space modulus function
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