Articles

SOME GEOMETRIC PROPERTIES OF A NEW DIFFERENCE SEQUENCE SPACE INVOLVING LACUNARY SEQUENCES

  • Murat KARAKAS ,
  • Mikail ET ,
  • Vatan KARAKAYA
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  • Department of Mathematics, Firat University, 23119, Elazig, Turkey; Department of Mathematical Engineering, Yildiz Technical University, Davutpasa Campus, Esenler, Istanbul, Turkey

Received date: 2012-04-16

  Revised date: 2013-04-03

  Online published: 2013-11-20

Abstract

In this paper, we define a new generalized difference sequence space involving lacunary sequence. Then, we examine k-NUC property and property (β) for this space and also show that it is not rotund where p = (pr) is a bounded sequence of positive real numbers with pr ≥1 for all ∈N.

Cite this article

Murat KARAKAS , Mikail ET , Vatan KARAKAYA . SOME GEOMETRIC PROPERTIES OF A NEW DIFFERENCE SEQUENCE SPACE INVOLVING LACUNARY SEQUENCES[J]. Acta mathematica scientia, Series B, 2013 , 33(6) : 1711 -1720 . DOI: 10.1016/S0252-9602(13)60117-4

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