Properties of $\Gamma^{2}$ defined by a modulus function

  • Chinnswamy Murugesan Sathyabama University Department of Mathematics
  • Nagarajan Subramanian SASTRA University Department of Mathematics
Keywords: entire sequence, analytic sequence, modulus function, semi norm, difference sequence, double sequence, duals

Abstract

In this article, we introduces the generalized difference paranormed double sequence spaces $\Gamma^{2}\left(\Delta^{m}_{\gamma},f,p,q,s\right)$ and $\Lambda^{2} \left(\Delta^{m}_{\gamma},f,p,q,s\right)$ defined over a seminormed sequence space  $\left(X,q\right)$

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Author Biographies

Chinnswamy Murugesan, Sathyabama University Department of Mathematics
Professor of Mathematics,
Nagarajan Subramanian, SASTRA University Department of Mathematics
Senior Assistant Professor,
Published
2012-01-25
Section
Research Articles