Analysis in Theory and Applications

, Volume 27, Issue 1, pp 21–27

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


    • Mathematical Sciences DivisionInstitute of Advanced Study in Science and Technology Paschim Baragaon
  • Prabhat Chandra
    • Department of MathematicsPatna University

DOI: 10.1007/s10496-011-0021-y

Cite this article as:
Tripathy, B.C. & Chandra, P. Anal. Theory Appl. (2011) 27: 21. doi:10.1007/s10496-011-0021-y


In this article we introduce the paranormed sequence spaces (f, Λ, Δm, p), c0(f, Λ, Δm, p) and (f, Λ, Δm, p), associated with the multiplier sequence Λ = (λk), defined by a modulus function f. We study their different properties like solidness, symmetricity, completeness etc. and prove some inclusion results.

Key words

paranormsolid spacesymmetric spacedifference sequencemodulus functionmultiplier seuence

AMS (2010) subject classification


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© Editorial Board of Analysis in Theory and Applications and Springer-Verlag Berlin Heidelberg 2011