Generalized Kothe-Toeplitz Dual of Some Geometric Difference Sequence Spaces


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Authors

  • Shadab Ahmad Khan Department of Mathematics and Statistics, D.D.U.Gorakhpur University, Gorakhpur, India
  • Ashfaque A.Ansari Department of Mathematics and Statistics, D.D.U.Gorakhpur University, Gorakhpur, India

Keywords:

$\eta-$duals, geometric difference sequence spaces $l_{G_{\infty}}(\Delta_{G}^{m}), c^{G}(\Delta_{G}^{m})$, $c_{0 }^{G}(\Delta _{G}^{m})$, geometric complex numbers

Abstract

Cengin Turkmen and F. Basar [2] have some basic results on the sets of sequences with geometric calculus. K.Boruah, Bipan Hazarika and Mikail Et [11 have generalized geometric difference sequence spaces and its dual. In this paper we have introduce concept of $\eta-$duals and determine $\eta-$duals of some geometric difference sequence spaces.

 

 

Author Biographies

Shadab Ahmad Khan, Department of Mathematics and Statistics, D.D.U.Gorakhpur University, Gorakhpur, India

 

 

Ashfaque A.Ansari, Department of Mathematics and Statistics, D.D.U.Gorakhpur University, Gorakhpur, India

 

 

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Published

15-06-2016

How to Cite

Shadab Ahmad Khan, & Ashfaque A.Ansari. (2016). Generalized Kothe-Toeplitz Dual of Some Geometric Difference Sequence Spaces. International Journal of Mathematics And Its Applications, 4(2 - D), 13–22. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1062

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Section

Research Article