Analysis in Theory and Applications

, Volume 27, Issue 1, pp 21-27

First online:

On some generalized difference paranormed sequence spaces associated with multiplier sequence defined by modulus function

  • Binod Chandra TripathyAffiliated withMathematical Sciences Division, Institute of Advanced Study in Science and Technology Paschim Baragaon Email author 
  • , Prabhat ChandraAffiliated withDepartment of Mathematics, Patna University

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In this article we introduce the paranormed sequence spaces (f, Λ, Δ m , p), c 0(f, Λ, Δ m , p) and (f, Λ, Δ m , p), associated with the multiplier sequence Λ = (λ k ), defined by a modulus function f. We study their different properties like solidness, symmetricity, completeness etc. and prove some inclusion results.

Key words

paranorm solid space symmetric space difference sequence modulus function multiplier seuence

AMS (2010) subject classification

40A05 46A45